Physics Unit23: Light and Geometric Optics

1#

Reflection, refraction, and the formation of imasc pi: yw(oew q7,fpt43e2 ,dpges by mirrors and lenses has been successful descrise(d,3 7oppqc ip4w,2 wyf :etbed by the

A. wave model of light.

B. ray model of light.

C. particle model of light.

D. none of the given answers

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2#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The angle of incidenceh+:0io (ljw t1, 5 vuv8xxjtsl

A. must equal the angle of reflection.

B. is always less than the angle of reflection.

C. is always greater than the angle of reflection.

D. may be greater than, less than, or equal to the angle of reflection.

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3#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The principle on which mirror:;fo et/6lhb+vbc.itu o* 6.q nds4 wbs work is

A. refraction.

B. polarization.

C. dispersion.

D. reflection.

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4#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A plane mirror forms an image 0d: ui,vcxz 9ethat is

A. real and upright.

B. virtual and upright.

C. real and upside down.

D. virtual and upside down.

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5#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Plane mirrors produce images which9e ,(o;yzmkkq fcjo ;-

A. are always smaller than the actual object.

B. are always larger than the actual object.

C. are always the same size as the actual object.

D. could be smaller, larger, or the same size as the actual object, depending on the placement of the object.

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6#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An image formed when the light rays do not actualled--6z+5ckuzd 6 -poneeul0t y pass through the image location, and would not appear on paper or film 0odp +n-6 eee-uc6k5 zlzt -duplaced at that location is referred to as

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7#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An image formed when the light rays pass 9v):gcq* bk ckthrough the image location, and could appear on paper ovckb k*qc: 9g)r film placed at the that location is referred to as

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8#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Is it possible to see a virtual imagibna*pcsab :*- cai9il6l( 3 ne?

A. No, since the rays that seem to emanate from a virtual image do not in fact emanate from the image.

B. No, since virtual images do not really exist.

C. Yes, the rays that appear to emanate from a virtual image can be focused on the retina just like those from an illuminated object.

D. Yes, since almost everything we see is virtual because most things do not themselves give off light, but only reflect light coming from some other source.

E. Yes, but only indirectly in the sense that if the virtual image is formed on a sheet of photographic film, one could later look at the picture formed.

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9#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spherical mirror on which reflection takes plk50w uyum niq u8sx6)j1i;/v9wtk3laace on the outer surface of the sn)ti m63k ukw ly8;s 0 v1i9j/auwx5qupherical shape is referred to as a

A. convex mirror.

B. concave mirror.

C. plane mirror.

D. double-sided mirror.

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10#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spherical mirror on whi)bik4 koz8vt+ha4 n9g 4:bb8wbj u2n ich reflection takes place on the inner surface of the sphn29: o git4b8bwbj 4hkuka8 +n)bzi v4ere is referred to as a

A. convex mirror.

B. concave mirror.

C. plane mirror.

D. double-sided mirror.

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11#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If the radius of curvature of the conc/;b.xt jxy mq+ave mirror is r, the focal length is

A. 2r

B. r

C. r/2

D. cannot be determined from the information given

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12#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A light ray, traveling parallel to a concave mirror's axis, strikes ,9)3k ajj, bbkp-wvxo the mirror's surface near its bj v jo,,akx -)pk9bw3midpoint. After reflection, this ray

A. again travels parallel to the mirror's axis.

B. travels at right angles to the mirror's axis.

C. passes through the mirror's center of curvature.

D. passes through the mirror's focal point.

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13#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Light arriving at a concave mirror on a path parwy4g-4fcz+ovak7tx2tla :+n j z+zg 9allel to the axis is reflected

A. back parallel to the axis.

B. back on itself.

C. through the focal point.

D. through the center of curvature.

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14#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A light ray, traveling obliquely to a concave mirror's axis, cr y-s,i:0p)8h ivevvx eosses the axis at the mirror's center of c-h)vy es,e i0:v 8pixvurvature before striking the mirror's surface. After reflection, this ray

A. travels parallel to the mirror's axis.

B. travels at right angles to the mirror's axis.

C. passes through the mirror's center of curvature.

D. passes through the mirror's focal point.

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15#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Light arriving at a concave mirror on a path through the center of curvature idnlg4 s ;:6(j uyrx ,y4b6abvrs reflyan y:rsb4u4dx vb lg6r;(6j,ected

A. back parallel to the axis.

B. back on itself.

C. through the focal point.

D. midway between the focal point and the center of curvature.

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16#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A light ray, traveling e4jp3n7 yazlr6oi1)k ei1p1 h obliquely to a concave mirror's surface, crosses the axis at the mirror's focal point before striking the mirror's surface. After reflection, this ra4) o6a1zkjip ee 731p1iyrhlny

A. travels parallel to the mirror's axis.

B. travels at right angles to the mirror's axis.

C. passes through the mirror's center of curvature.

D. passes through the mirror's focal point.

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17#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Light arriving at a concave mirr9w5fu;43 dvn ;p 3hl7uf kazb0ejz 8an:rv:r lor on a path through the focal point is reflecter9lfd; ;wz 4zun7reauh avbn 538 v::3ljfpk0d

A. back parallel to the axis.

B. back on itself.

C. through the focal point.

D. through the center of curvature.

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18#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State how to draw the three rays for findingq0qb*wlo)nt22ae :s evs t0;t the image position due to a curved mirror vtl ) btn:oqa;t *0s2w0es2eq.

该题自我估分: (必填) (满分:1.0分)

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19#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If you stand in front of a concave mirror, exactly at its focal pointr-, utiy+ p,jj,

A. you won't see your image because there is none.

B. you won't see your image because it's focused at a different distance.

C. you will see your image, and you will appear smaller.

D. you will see your image and you will appear larger.

E. you will see your image at your same height.

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20#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is placed at a concave mirror's center of curvature hqpx23 + 0j-mvk2mibl. The image produced by the mirror i2vpmj- b32x mki0h+ qls located

A. out beyond the center of curvature.

B. at the center of curvature.

C. between the center of curvature and the focal point.

D. at the focal point.

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21#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is positioned between a concamsv l or74+o;vve mirror's center of curvature and its focal point. The image s 7+ ;vvmolr4oproduced by the mirror is located

A. out past the center of curvature.

B. at the center of curvature.

C. between the center of curvature and the focal point.

D. at the focal point.

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22#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is situated betwee,nxz3p *q7jfx m. xcv6n a concave mirror's surface and its focal point. Thqzf 7*3,cjxx vp x.m6ne image formed in this case is

A. real and inverted.

B. real and erect.

C. virtual and erect.

D. virtual and inverted.

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23#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If you stand in front of a convex mirror, at scv 1 3/rmhl3os5+jrfthe same distance from it as its radis/rrj5och +s3l m3 v1fus of curvature,

A. you won't see your image because there is none.

B. you won't see your image because it's focused at a different distance.

C. you will see your image and you will appear smaller.

D. you will see your image and you will appear larger.

E. you will see your image at your same height.

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24#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If you stand in front of a cozs:/ q/fiq*ro /,h02 e8rj ynp cbes .brlmd;5nvex mirror, at the same distance from it as its focal lengt /cmi.:ejrrldz/5r qn /b8e,fs hqsy2b0*p;oh,

A. you won't see your image because there is none.

B. you won't see your image because it's focused at a different distance.

C. you will see your image and you will appear smaller.

D. you will see your image and you will appear larger.

E. you will see your image at your same height.

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25#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Sometimes when you look into a cux1rnen/i( nmt:lxz i28/r uj4rved mirror you see a magnified image (a great big you) and sometimes you see a diminished image (a little you). If you look at the bottom (convex) side of a shiny spoon, wha4r(jn/e n:2t x ziimru/lxn 81t will you see?

A. You won't see an image of yourself because no image will be formed.

B. You will see a little you, upside down.

C. You will see a little you, right side up.

D. You will see a little you, but whether you are right side up or upside down depends on how near you are to the spoon.

E. You will either see a little you or a great big you, depending on how near you are to the spoon.

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26#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Concave spherical mirrors produce images whix4:h 0c-v(3q0432u tsz )eyxwtx5 b supex mskch

A. are always smaller than the actual object.

B. are always larger than the actual object.

C. are always the same size as the actual object.

D. could be smaller than, larger than, or the same size as the actual object, depending on the placement of the object.

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27#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Convex spherical mirrors produoxwe )vyz 3*a8:yor+ 8 osjar.ce images which

A. are always smaller than the actual object.

B. are always larger than the actual object.

C. are always the same size as the actual object.

D. could be larger than, smaller than, or the same size as the actual object, depending on the placement of the object.

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28#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A single concave spherical mirror pr7so 8ok(m6txy 77)3zgrdyh i eoduces an image which is

A. always virtual.

B. always real.

C. real only if the object distance is less than $f$.

D. real only if the object distance is greater than $f$.

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29#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A single convex spherical mirror produces an-dt -3fh/nvbp pf: xt6k mrv::gcmi/ 7 image which is

A. always virtual.

B. always real.

C. real only if the object distance is less than $f$.

D. real only if the object distance is greater than $f$.

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30#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A negative magnification for a mirrokwir(jg j edn7 uwm y1 a../46*8 2h8gffuwjwtr means

A. the image is inverted, and the mirror is concave.

B. the image is inverted, and the mirror is convex.

C. the image is inverted, and the mirror may be concave or convex.

D. the image is upright, and the mirror is convex.

E. the image is upright, and the mirror may be concave or convex.

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31#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If the image distancevfnwo7 2)1d h*vbbu* . h 1usvzc:*cxr is positive, the image formed is

A. a real image.

B. a virtual image.

C. either a real or virtual image.

D. can not be determined.

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32#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If the image distance is negative, the i:0: 7hu3vo.bx8o + ( goavkws*jlpbkqmage formed is

A. real image.

B. virtual image.

C. either a real or virtual image.

D. can not be determined.

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33#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If the magnification is a positive valufv5l eyj*qyb51p qmmqb .pd g-)u*;h.e, the image is

A. upright.

B. inverted.

C. enlarged.

D. shrunk.

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34#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If the magnification is a 1yoy:askc y 3kw6.yqm9e5qw;negative value, the image is

A. upright.

B. inverted.

C. enlarged.

D. shrunk.

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35#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If the absolute value of the magnification is larger than one, thkz/.u* t w6tkyen the image iskkut. t6*/yzw

A. larger than the object.

B. the same size as the object.

C. smaller than the object.

D. can not be determined.

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36#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If the absolute valu (vvwf /gygqk :a /v0avo84;oye of the magnification is smaller than one, then the image iya40;o 8vyfgg wq / (a:vov/kvs

A. larger than the object.

B. the same size as the object.

C. smaller than the object.

D. can not be determined.

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37#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If the absolute value of the magnification is equal to one, then the iyn5ool lc tp,xmcy *di16 i,4(mage is

A. larger than the object.

B. the same size as the object.

C. smaller than the object.

D. can not be determined.

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38#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Light travels fastestb7j.( fhhiwlm w e8e-0ir n0wwt4 2mc4

A. in a vacuum.

B. through water.

C. through glass.

D. through diamond.

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39#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

For all transparent material sc+qj5zq diq;9ubstances, the index of refraction

A. is less than 1.

B. is greater than 1.

C. is equal to 1.

D. could be any of the given answers as it all depends on optical density.

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40#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An index of refraction less than one for a medium woulnfy qf .m)zi-4d imply

A. that the speed of light in the medium is the same as the speed of light in vacuum.

B. that the speed of light in the medium is greater than the speed of light in vacuum.

C. refraction is not possible.

D. reflection is not possible.

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41#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The index of refraction of diam//ame8 bxlzb* g4 l0ldond is $2.42$. This means that a given frequency of light travels

A. 2.42 times faster in air than it does in diamond.

B. 2.42 times faster in diamond than it does in air.

C. 2.42 times faster in vacuum than it does in diamond.

D. 2.42 times faster in diamond than it does in vacuum.

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42#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The angle of inciden+f9t8 plt(mwace

A. must equal the angle of refraction.

B. is always less than the angle of refraction.

C. is always greater than the angle of refraction.

D. may be greater than, less than, or equal to the angle of refraction.

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43#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Light traveling at an angle into a denser mes9b-z 9u)8owii3gk d ndium is refracted

A. toward the normal.

B. away from the normal.

C. parallel to the normal.

D. equally.

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44#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Light enters air from water. The angle o8z ds5sq v9xk8f refraction will be

A. greater than the angle of incidence.

B. equal to the angle of incidence.

C. less than the angle of incidence.

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45#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A ray of light, which is traveling in air, is incident on a glassg0p/u ejgsthetl5 f ;x ik+4(* dp3w0a plate at a $45^{\circ}$ angle. The angle of refraction in the glass

A. is less than $45^{\circ}$.

B. is greater than $45^{\circ}$.

C. is equal to $45^{\circ}$.

D. could be any of the above; it all depends on the index of refraction of glass.

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46#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The principle on which fiber optics ih(v5 5c 1olkcos based is

A. refraction.

B. polarization.

C. dispersion.

D. total internal reflection.

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47#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The critical angle for a beam ofxl,ae(yq0 kfq/p)w5rkz f8 0e light passing from water into air is $48.8^{\circ}$. This means that all light rays with an angle of incidence greater than this angle will be

A. absorbed.

B. totally reflected.

C. partially reflected and partially transmitted.

D. totally transmitted.

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48#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The principle on which lenses work i( ss9puxgl*(zs

A. refraction.

B. polarization.

C. dispersion.

D. total internal reflection.

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49#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Lenses that are thickest at the cv3vihk/ zv3l2 *uby. /kn pmn6enter called

A. converging lenses.

B. diverging lenses.

C. either converging or diverging lens.

D. can not be determined.

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50#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Lenses that are thinner at the center than th lp)e-6h 90aydee:rei e edges are called

A. converging lenses.

B. diverging lenses.

C. either converging or diverging lens.

D. can not be determined.

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51#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Lenses that are thicke og6 iwjc0d6u zt 4 hn(c0iu9zkq.f9s.r at the center

A. spread out light rays.

B. bend light rays to a point beyond the lens.

C. have no effect on light rays.

D. reflect light rays back.

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52#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Two diverging lenses are similar except tha tjcgqx 9g1*g+t lens B is rated at 20 diopters, whereas lens A is rated at 10 diopters. The focal length of lens B jtqgxc g*1g9 +is

A. one-fourth of the focal length of lens A.

B. one-half of the focal length of lens A.

C. twice the focal length of lens A.

D. four times the focal length of lens A.

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53#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A light ray, traveling parallel to the axis of w .d60eos;qndj, kd5o a thin concave lens, strikes the lens near its midpoint. After traveling though the losjqedn06d5d;w k o., ens, this ray emerges traveling obliquely to the axis of the lens

A. such that it never crosses the axis.

B. crossing the axis at a point equal to twice the focal length.

C. passing between the lens and its focal point.

D. passing through the focal point.

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54#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A light ray, travelings k )jx; *;fw2reu8nn h, 6k,h+gnsmli parallel to the axis of a convex thin lens, strikes the lens near its midpoint. After traveling th+k*;rnuh8hmx wifl6se2n ,nsg );jk ,rough the lens, this ray emerges traveling obliquely to the axis of the lens

A. such that it never crosses the axis.

B. crossing the axis at a point equal to twice the focal length.

C. passing between the lens and its focal point.

D. passing through its focal point.

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55#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State how to draw the three rays for finding the image position due to a thin9dr,,yl) g17;lttb0c lehz yf lens.7tc f )9rtl10ly ;ze,lh ygd,b

该题自我估分: (必填) (满分:1.0分)

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56#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A convex lens has focabi 5(b: s5xistz p 4gunj*n26ql length $f$. An object is located at infinity. The image formed is located

A. at $2f$.

B. between $f$ and $2f$.

C. at $f$.

D. between the lens and $f$.

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57#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A convex lens has a focal length lvhef 16; ,qu7a9uy:mmwxmt: $f$. An object is placed at $f$ on the axis. The image formed is located

A. at infinity.

B. between $2f$ and infinity.

C. at $2f$.

D. between $f$ and $2f$.

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58#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A convex lens has a focal l p8d8i 3nspi6zength $f$. An object is placed at $f$ on the axis. The image formed is located

A. at $2f$.

B. between $f$ and $2f$.

C. at $f$.

D. between the lens and $f$.

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59#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A convex lens has a focal lenwiya 6 x8buu /nk;i1.uigz; mi8 6t9prgth $f$. An object is placed between $f$ and $2f$ on the axis. The image formed is located

A. at $2f$.

B. between $f$ and $2f$.

C. at $f$.

D. at a distance greater than $2f$ from the lens.

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60#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A convex lens has a focal ltckgg -e5meknu3/;n kk m,8q)ength $f$. An object is placed between infinity and $2f$ from the lens on its axis. The image formed is located

A. at $2f$.

B. between $f$ and $2f$.

C. at $f$.

D. between the lens and $f$.

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61#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A object is placed between a convex lens a9iy- uq4euv g6csrprw.d i;67nd its focal point. The image formed iu ye. c u;vdr7iri66s-gqwp94s

A. virtual and erect.

B. virtual and inverted.

C. real and erect.

D. real and inverted.

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62#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The images formed by concavn f37nrnwx g83e lenses

A. are always real.

B. are always virtual.

C. could be real or virtual; it depends on whether the object distance is smaller or greater than the focal length.

D. could be real or virtual, but always real when the object is placed at the focal point.

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63#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The image of the rareds(d;e flawvnd30 +-c stamp you see through a magnifying glass is

A. always the same orientation as the stamp.

B. always upside-down compared to the stamp.

C. either the same orientation or upside-down, depending on how close the stamp is to the glass.

D. either the same orientation or upside-down, depending on the thickness of the glass used.

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64#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A lamp is placed 1 m from a screen. Between th/*l j,m8hppyh gi c0t5e lamp and the screen is placed a converging lens of focal length 24 cyt 8p*5 hjmlig,h/c0p m. The filament of the lamp can be imaged on the screen. As the lens position is varied with respect to the lamp,

A. no sharp image will be seen for any lens position.

B. a sharp image will be seen when the lens is halfway between the lamp and the screen.

C. a sharp image will be seen when the lens is 40 cm from the lamp.

D. a sharp image will be seen when the lens is 60 cm from the lamp.

E. a sharp image will be seen when the lens is either 40 cm from the lamp or 60 cm from the lamp, but not otherwise.

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65#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Two thin lenses, of foca; ufb1 qzpll2)l lengths $f_1$ and $f_2$ placed in contact with each other are equivalent to a single lens of focal length of

A. $f_1 + f_2$.

B. $1/(f_1 + f_2)$.

C. $(f_1 + f_2)/f_1 f_2$.

D. $f_1 f_2/(f_1 + f_2)$.

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66#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Two thin double-convex (convex-convex)(y(nhv ; mw5g+1vzga p lenses are placed in contact. If each has a focal length of 20aggp(mny v5whzv( ;+1 cm, how would you expect the combination to function?

A. about like a single lens of focal length 20 cm

B. about like a single lens of focal length 40 cm

C. about like a single lens of focal length slightly greater than 20 cm

D. about like a single lens of focal length less than 20 cm

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67#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A diverging lens ($f = -4.0 \; cm$) is positioned 2.0 cm to the left of a converging lens ($f = +6.0 \; cm$). A 1.0-mm diameter beam of parallel light rays is incident on the diverging lens from the left. After leaving the converging lens, the outgoing rays

A. converge.

B. diverge.

C. form a parallel beam of diameter D > 1.0 mm.

D. form a parallel beam of diameter D < 1.0 mm.

E. will travel back toward the light source.

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68#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A laser beam strikes a plane's reflectf3*r x0ynvn1e pr6(iling surface with an angle of incidence of fnvrx6niye(r30p1 *l$52^{\circ}$. What is the angle between the incident ray and the reflected ray?

A. $52^{\circ}$

B. $105^{\circ}$

C. $45^{\circ}$

D. $90^{\circ}$

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69#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is located 2.6 m in front of a plane mirrorf,4uopgj - ,u;tzk, .w7guaq k. The image formed by the mirror.ua,kz,u 7toggw , fj;ukp-q4 appears to be

A. 1.3 m in front of the mirror.

B. on the mirror's surface.

C. 1.3 m behind the mirror's surface.

D. 2.6 m behind the mirror's surface.

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70#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How far are you from your image when you stand 0.75 ms vji90l)y yb9 in front of a vertical plalyy0v99j i)bsne mirror?

A. $0.75 \; m$

B. $1.5 \; m$

C. $3.0 \; m$

D. none of the given answers

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71#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How fast do you approach your image when you approach a vertical plane mirror .wd xsm:dk/3l at a .mldw3/xsk:d speed of 2 m/s?

A. 1 m/s

B. 2 m/s

C. 4 m/s

D. none of the given answers

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72#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spherical concave mirror has a radius of curvature y8jnl to :uojj-go-.oc0 6k*hof 20 cm. How far from the mirror is the fl-.8cktj*g 0ojj nyo u-: oh6oocal point located?

A. $10 \; cm$

B. $20 \; cm$

C. $30 \; cm$

D. $40 \; cm$

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73#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A concave mirror with a radius of 20 cm crea4csjwveb0 196 wu,alttes a real image 30 cm from the mirror. What is th6wa c,e1w uv9ts0j4lb e object distance?

A. $20 \; cm$

B. $15 \; cm$

C. $7.5 \; cm$

D. $5.0 \; cm$

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74#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A object is 12 cm in front of a concave mirror, and the image is 3.0 cm in fro5 d4bu g5dthqtw e)s66nt of the mirror. What is thetw5s h)dq 6gubet64 5d focal length of the mirror?

A. $15 \; cm$

B. $4.0 \; cm$

C. $2.4 \; cm$

D. $1.3 \; cm$

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75#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 10 cm in front of a concave mirror with focal length 3 c5mx7kl 81cdj v 1gt.yfm. Where is k5 vly17cj. mfxg8td1the image?

A. 13 cm from the mirror

B. 7.0 cm from the mirror

C. 4.3 cm from the mirror

D. 3.3 cm from the mirror

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76#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A concave spherical mirror hz ey823 qxorb8-ov-c gas a focal length of 20 cm. An object is placed 10 cm in front of the mirror on the mirror's axis. Where is the image locatyob oz -3xgc-q28v 8ered?

A. 20 cm behind the mirror

B. 20 cm in front of the mirror

C. 6.7 cm behind the mirror

D. 6.7 cm in front of the mirror

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77#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A concave spherical mirror has a folgq lflz5 *3ljvw)o2 *cal length of 20 cm. An object is placed 30 cm in front of the mirror on the mirror's axi z)flll*3qv 2ow5*gjl s. Where is the image located?

A. 12 cm behind the mirror

B. 12 cm in front of the mirror

C. 60 cm behind the mirror

D. 60 cm in front of the mirror

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78#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 5.7 cm from a concave mirror. The image is 4.7 cm . 5 0q8)3v.vuaq :9die*js vpnykczkctall, and 10 cm from the mirrodvny5jka8:u vcz )9*i.kq0 3cps eq.vr. How tall is the object?

A. $12 \; cm$

B. $11 \; cm$

C. $8.2 \; cm$

D. $2.7 \; cm$

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79#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is placed 15 cm from a concave mirror ofo772nw7 bc*sazweruhk -32mt pa) xy( focal length 20 cm. The object is 4.0 cm tall. H2 w r awh7yb-737a nuxzmo(e*k)ct sp2ow tall is the image?

A. $1.0 \; cm$

B. $2.0 \; cm$

C. $8.0 \; cm$

D. $16 \; cm$

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80#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 47.5 cm tall. Thed )lg:fg8w)dtq*x lt(vy 9 6qf image is 38.6 cm tall, and 14.8 cm from the mirror. How far is thdt9* txqd fy6:g 8fglq)lwv( )e object from the mirror?

A. $124 \; cm$

B. $47.6 \; cm$

C. $18.2 \; cm$

D. $12.0 \; cm$

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81#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A 1.4 cm tall object is 4.0 cm from a concave mit r.jq c tf-ia7 u./hg;1pvcs8rror. If the image is 4.0 cm tall, how -rcsgpf..ut7 i8h /vq; at1 jcfar is it from the mirror?

A. $11 \; cm$

B. $9.4 \; cm$

C. $1.4 \; cm$

D. $0.090 \; cm$

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82#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is placed 1 2 28j;lnj slkb/i jcvw01ph(m5 cm from a concave mirror of focal length 20 cm. The object is 4.0 cm tall. Where is the image loci0vhc ll 8(mpn;b2 2j/sjjk1w ated?

A. 12 cm behind the mirror

B. 12 cm in front of the mirror

C. 60 cm behind the mirror

D. 60 cm in front of the mirror

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83#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

When a person stands 40 cm in fronpft:qr /xmj4. t of a cosmetic mirror (concave mirror), the erect image is twice trmj t:4/f pq.xhe size of the object. What is the focal length of the mirror?

A. $27 \; cm$

B. $40 \; cm$

C. $80 \; cm$

D. $160 \; cm$

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84#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A person's face is 30 c) lq5ymp dl)4,vmlb9 om in front of a concave shaving mirror. If the image is an erect image 1.5 times as large as the obbo d,9mvll y))5lp4mq ject, what is the mirror's focal length?

A. $20 \; cm$

B. $50 \; cm$

C. $70 \; cm$

D. $90 \; cm$

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85#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An image is 4.0 cm behind a concave mirr5ye bq61h4zfior with focal length 5.0 cm. Where is the objeqfe 145yzb i6hct?

A. 2.2 cm in front of the mirror

B. 2.2 cm behind the mirror

C. 9.0 cm in front of the mirror

D. 1.0 cm behind the mirror

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86#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A convex spherical mirror has a fog/ ;o0 wvx(knou8-abpcal length of -20 cm. An object is placed 10 cm in frongn; auo8b(v w/0p ko-xt of the mirror on the mirror's axis. Where is the image located?

A. 20 cm behind the mirror

B. 20 cm in front of the mirror

C. 6.7 cm behind the mirror

D. 6.7 cm in front of the mirror

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87#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A convex spherical mirror has a focal length ofq c xpb7rnvt */oa ;(;avy.rx1 -20 cm. An object is placed 30 cm in front of the mirror;vybtra ;1o xv7/cq*rn xa.p( on the mirror's axis. Where is the image located?

A. 12 cm in front of the mirror

B. 60 cm behind the mirror

C. 60 cm in front of the mirror

D. none of the given answers

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88#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 14 cm in front of a convex mirror.z m-g morq-;fpra; a50n;t e*q The image is 5.8 cm behind the mirror. ;5;eqm;-z -a0nogmr pf* ratq What is the focal length of the mirror?

A. -4.1 cm

B. -8.2 cm

C. -9.9 cm

D. -20 cm

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89#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 8.90 cm tall. The image is 7.80 cm tall, and 14.8 cm from m7:dt* z tyhmeom;,) jqe,cc1a convex mirror. )m:ye th,ceo*qtj7m1;cm,z d What is the mirror's focal length?

A. -120 cm

B. -105 cm

C. -16.9 cm

D. -13.0 cm

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90#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If a material has an index of refraction of 1.50, what zl3u9fevb h yb ,u*.w0is the speed of light thrhb . 9yl*e3v0z,b uufwough it?

A. $2.00 \times 10^{8} \; m/s$

B. $3.00 \times 10^{8} \; m/s$

C. $4.50 \times 10^{8} \; m/s$

D. $6.00 \times 10^{8} \; m/s$

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91#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A light ray in air is incident on an air to glass interface at anqc) hzlsl+ *1n angle of $45^{\circ}$ and is refracted at an angle of $30^{\circ}$ to the normal. What is the index of refraction of the glass?

A. 1.23

B. 1.31

C. 1.41

D. 1.74

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92#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Light enters a substance from air at a*zwpdzl3u ht;(sk:s0 6f9r idn angle of $32.0^{\circ}$, and continues at an angle of $23.0^{\circ}$. What is the index of refraction of the substance?

A. 0.74

B. 1.11

C. 1.28

D. 1.36

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93#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Light passes from air to water. The incoming ray is at an ang- ,1i x9ufty +b zjc0f+bhc2ad7pa t(xle of $17.0^{\circ}$ to the normal. The index of refraction is 1.33. What is the angle in the water?

A. $22.9^{\circ}$

B. $22.6^{\circ}$

C. $18.3^{\circ}$

D. $12.7^{\circ}$

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94#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An oil layer that is 5.0 ed 3zawvvy8ysvig);p7bq26 (tsy-2 w cm thick is spread smoothly and evenly over the surface of water on a windless day. What is the angle of refraction in the w8yv() a2w;y sgp6 wit37q vsv edy-2bzater for a ray of light that has an angle of incidence of $45^{\circ}$ as it enters the oil from the air above? (The index of refraction for oil is 1.15, and for water it is 1.33.)

A. $27^{\circ}$

B. $32^{\circ}$

C. $36^{\circ}$

D. $39^{\circ}$

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95#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A diver is 1.2 m beneath zo*hdig4c).q the surface of a still pond of water. At what angle must the diver shine a beam of light toward the surface in order for a person on a distant bank to see it? (The index of refraction for water is 1.3i h do*g4cq)z.3.)

A. $41^{\circ}$

B. $49^{\circ}$

C. $59^{\circ}$

D. $90^{\circ}$

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96#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A beam of light, traveling in air, strikes a plate of transparent material at v5 t1 +u1qacf4a0190knk:kkgg 7sz9 qemo qny an ang0o q1akvf0q+k99z 171ckn4tn m au yg:qske5 gle of incidence of $56.0^{\circ}$. It is observed that the reflected and refracted beams form an angle of $90.0^{\circ}$. What is the index of refraction of this material?

A. 1.40

B. 1.43

C. 1.44

D. 1.48

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97#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A beam of light traveling in air is incident on a slab of transparenz,rjvfq bp5;ru -k*u, x:y(do t material. The incident beam and the refracted beam make angles o, jo vdp,5uzxyq*rb(u-kf :;r f $40^{\circ}$ and $26^{\circ}$ to the normal. What is the speed of light in the transparent material?

A. $1.0 \times 10^{8} \; m/s$

B. $2.0 \times 10^{8} \; m/s$

C. $2.3 \times 10^{8} \; m/s$

D. $3.0 \times 10^{8} \; m/s$

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98#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A substance has an index of refraction of 1j ;pu(h px,ll qce//a2.46. Light is passing through it at lh(paec/uq lp2 x/;j,$53.0^{\circ}$. At what angle will it leave into the air?

A. It will not leave.

B. $59.1^{\circ}$

C. $43.2^{\circ}$

D. $33.2^{\circ}$

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99#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What is the critical , e3wxaen 0 r2qz.mfnmc+ 1*syangle for light traveling from crown glass (n = 1.52) into water 1e+seax,* 3m.cw0 q2nyrmfzn (n = 1.33)?

A. $42^{\circ}$

B. $48^{\circ}$

C. $57^{\circ}$

D. $61^{\circ}$

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100#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Lucite has an index of refraction of 1.50. What is its critical angl pxt1vxz5n : )xciah.-e of incidenc)pz i-xhxn a5t1cvx.:e?

A. $11.6^{\circ}$

B. $15.4^{\circ}$

C. $41.8^{\circ}$

D. $87.4^{\circ}$

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101#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An optic fiber is made of clear plastic with index of refraction o6w vagxu,m* 5( rvdifu,0o8ypf 1.50. For what angle of incidence will light remain within t(u fidv ,ogyapr8wm0xv5,6 u*he plastic "guide"?

A. $>23.4^{\circ}$

B. $>38.3^{\circ}$

C. $>40.3^{\circ}$

D. $>41.8^{\circ}$

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102#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The critical angle for a subst p;ue*f d08rwjrm n+i2ance is measured at $57.3^{\circ}$. Light enters from air at $45.0^{\circ}$. At what angle will it continue?

A. $34.7^{\circ}$

B. $45.0^{\circ}$

C. $53.7^{\circ}$

D. It will not continue, but be totally reflected.

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103#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Light enters a substance from air t :exx ;jad:a2kq98xxat $30.0^{\circ}$ to the normal. It continues through the substance at $23.0^{\circ}$ to the normal. What would be the critical angle for this substance?

A. $53.0^{\circ}$

B. $51.4^{\circ}$

C. $36.7^{\circ}$

D. $12.6^{\circ}$

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104#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An optical fiber is 1.0 meter long and has a diameter of 20 mm. an)as,(v sxlf+h8kzfd ;8 n3j Its ends are perpendicular to its axis. Its index of refraction is 1.30. What is the maximum number of reflections a light ray entering k8han asn(x8jl 3 zv,f+sd);fone end will make before it emerges from the other end?

A. 42,000

B. 26,000

C. 24,000

D. 18,000

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105#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is placed 4 .gqe-c8. vhr hrvlxv19 a-p7.sfcf (e0 cm in front of a 20 cm focal length converging lens. How far is the image of e cgs.-vf.hqah1 r -ef8(.x7lv9rcvp this object from the lens?

A. $40 \; cm$

B. $20 \; cm$

C. $13 \; cm$

D. none of the given answers

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106#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 12 cm i1tzfhx r f44a.0: so3vtzf m6gn front of a converging lens with focal length 4 cm. Where is the imag6g :41ttzv 3s04xf.ohzafrf me?

A. 8.0 cm behind the lens

B. 6.0 cm in front of the lens

C. 6.0 cm behind the lens

D. 4.0 cm in front of the lens

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107#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 15 mm in front of a converging lens, and the image is 4. tfd mw476x.l5kqxm5c qnm; 1j0 mm behind t5lkmqxf 1w.;5q6m4t7 m nxcd jhe lens. What is the focal length of the lens?

A. $11 \; mm$

B. $5.5 \; mm$

C. $3.8 \; mm$

D. $3.2 \; mm$

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108#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A 14-mm tall object is 4.0 mm from a converging lens. If the w8j06sx) senrhs ad;08(n wvy image is 4.0 mm tall, how farn0shy6a)s80 ewnx j(rv ;w8 ds is it from the lens?

A. $14 \; mm$

B. $8.7 \; mm$

C. $1.4 \; mm$

D. $1.1 \; mm$

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109#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

When an object is 40 m in front of a converging lens the h(ak:ab +uxb2 inverted image is half the size of the object. What is the focal length of + a2hb(:akxubthis lens?

A. $13 \; cm$

B. $20 \; cm$

C. $40 \; cm$

D. $53 \; cm$

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110#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An image is 4.0 mm in front of a converging lens with focal length 5.0 mm. 7 1k nkb/,kun(lcvcs8 Where is the olnc7(kn u /csv kb1,8kbject?

A. 2.2 mm in front of the lens

B. 2.2 mm behind the lens

C. 9.0 mm behind the lens

D. 20 mm in front of the lens

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111#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 4.1 cm tall, and 10.3 cm from a cok0s1 jjmn(9ybz i q74pnverging lens. The image is virts4jkq90i zny17m(b p jual and 6.2 cm tall. What is the focal length of the lens?

A. $6.8 \; cm$

B. $10 \; cm$

C. $16 \; cm$

D. $30 \; cm$

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112#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 15.2 mm from ax d7pbd9 -gol3lckge;( ; pn*p converging lens. The image is 4.0 mm tall, and 9.0 cm from the lens. keng3o;d( p*;cbx9 lg-d 7lppHow tall is the object?

A. $6.8 \; mm$

B. $5.4 \; mm$

C. $1.7 \; mm$

D. $0.68 \; mm$

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113#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

When an object is placed 60 cm from a converging lenglek;1ov(w96m5y c lyz+-kac3oa 3sg j6 ; xais, it forms a real image. When the object is moved to 40 cm from the lens, the image moveomic-cx 31k6;kyvg ezoy(swl3 5; g aja6a+l9s 10 cm farther from the lens. What is the focal length of the lens?

A. $20 \; cm$

B. $30 \; cm$

C. $40 \; cm$

D. $42 \; cm$

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114#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is placed at jffzgx yf 09z (*7.kgkpoy.rrpu -h/.a distance of 30 cm from a thin convex lens. The lens has a focal length of 10 cm. What are the values, respectively, of thy0g. 9grfzpoxk-h f/f .pr*7k(z jy. ue image distance and lateral magnification?

A. 15 cm, 2.0

B. 25 cm, 1.0

C. 60 cm, -0.50

D. 15 cm, -0.50

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115#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is placed at 30 cm in front of a diverging lens with a focal le (7 n8gqjoi i1z3p*b(wepms1 hngth of 10 cm.ij q(183inz somp h71bge* (wp What is the image distance?

A. $7.5 \; cm$

B. $-7.5 \; cm$

C. $15 \; cm$

D. $-15 \; cm$

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116#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is placed at 30 cm in front of a di4pukhm6a 4k p/verging lens with a focal length of 10 cm. What is tuk/ m 44papkh6he magnification?

A. 0.25

B. -0.25

C. 0.67

D. -0.67

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117#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 10.4 cm tall, and 4.8 cm in front of a diverging len 1xgdm4nu9hgq1s l1b(b+/d i ks. The image is 4.0 cm from the lens. How tall is the bq u md h+dn4/x(s11likgg19b image?

A. $13 \; cm$

B. $8.7 \; cm$

C. $5.4 \; cm$

D. $1.8 \; cm$

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118#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is 6.0 cm )p5whtc1i+m0s(g+q v ffy f6atall, and is in front of a diverging lens. The image is 2.5 cm tall, and 7.5 cm from the lens. Whag+ at q51+wi(vcf) pymfh0 s6ft is the focal length of the lens?

A. -6.0 cm

B. -7.5 cm

C. -13 cm

D. -18 cm

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119#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object is placed at a d. 9.w;krbiv gafa+k(n istance of 40 cm from a thin lens. If a virtual image forms at a w(;. vkgfk+ir9nba .a distance of 50 cm from the lens, on the same side as the object, what is the focal length of the lens?

A. $45 \; cm$

B. $75 \; cm$

C. $90 \; cm$

D. $200 \; cm$

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120#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How far from a lens of focal length 50 mm must the object be a1pt; mm,, :r n/vszhhe1qj j-placed if it is to form a virtual image magnified ,mj1 ;-prt zh/qja:hns1,mv e in size by a factor of three?

A. $33 \; mm$

B. $42 \; mm$

C. $48 \; mm$

D. $54 \; mm$

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121#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How far from a 50-mm focal length lens, such as is used in many d7/nw, -to:ean)q(m9 oj pakjbbhr 6b5 r;tu7 35-mm cameras, must an object be positioned if it is to form a real image magnified in size by a factor of r- 5h j7n9,: debjmp;btbo)ur (q6akwn7ta / othree?

A. $46 \; mm$

B. $52 \; mm$

C. $58 \; mm$

D. $67 \; mm$

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122#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Two very thin lenses, each with focal length 20 cm, g vyobckoe e3:)vc 5;/are placed in contact. What is the focal length of this compound len:;5 3e bk vyvco/cego)s?

A. $40 \; cm$

B. $20 \; cm$

C. $15 \; cm$

D. $10 \; cm$

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123#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A double convex (convex-convex) thin lens has radii of curvature 46 cm, and is m rjg2,;3q vtpqade of glass of index of refraction n = 1.60. What is thg3vqqtpjr2 ; ,e focal length?

A. infinite

B. $38 \; cm$

C. $30 \; cm$

D. $18 \; cm$

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124#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A double convex lens made of gl4z rjcd5(ljstb d q -1h/zy2)gass (n = 1.50) has a radius of 40 cm on the front side and 30 cm on the back side. What is the foca yz cz1b-5)qdg /( 2h4dljtrjsl length of the lens?

A. $11 \; cm$

B. $34 \; cm$

C. $80 \; cm$

D. $240 \; cm$

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125#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A biconvex lens is formed by using a piece of plastic (n = 1.70)wh --z1r- mh9d867 unb0m ubulam-pat. The radius of the front surface imad blb89zuhm - n6ua-tpu hm1r7--0ws 20 cm and the radius of the back surface is 30 cm. What is the focal length of the lens?

A. $17 \; cm$

B. $86 \; cm$

C. $-86 \; cm$

D. $-17 \; cm$

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126#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A plano-convex lens is to have a focal lenmp4c2 rkt b/waycw3v:ex6yfk3e. 59e gth of 40 cm. It is made of glass of index 3e/ cy6ypkwmr2 f3wbte:k4.ex a9 5vc of refraction
1.65. What radius of curvature is required?

A. $13 \; cm$

B. $26 \; cm$

C. $32 \; cm$

D. $36 \; cm$

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21	22	23	24	25	26	27	28	29	30
31	32	33	34	35	36	37	38	39	40
41	42	43	44	45	46	47	48	49	50
51	52	53	54	55	56	57	58	59	60
61	62	63	64	65	66	67	68	69	70
71	72	73	74	75	76	77	78	79	80
81	82	83	84	85	86	87	88	89	90
91	92	93	94	95	96	97	98	99	100
101	102	103	104	105	106	107	108	109	110
111	112	113	114	115	116	117	118	119	120
121	122	123	124	125	126

1	2	3	4	5	6	7	8	9	10
11	12	13	14	15	16	17	18	19	20
21	22	23	24	25	26	27	28	29	30
31	32	33	34	35	36	37	38	39	40
41	42	43	44	45	46	47	48	49	50
51	52	53	54	55	56	57	58	59	60
61	62	63	64	65	66	67	68	69	70
71	72	73	74	75	76	77	78	79	80
81	82	83	84	85	86	87	88	89	90
91	92	93	94	95	96	97	98	99	100
101	102	103	104	105	106	107	108	109	110
111	112	113	114	115	116	117	118	119	120
121	122	123	124	125	126