Physics Unit26: Special Theory of Relativity - 题库网 (tiku.one)

?作业考试练习?通用国际物理?Physics Unit26: Special Theory of Relativity

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习题练习：Physics Unit26: Special Theory of Relativity

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答题人: 匿名未登录开始时间: 23年05月01日 10:24 切换到: 整卷模式

1#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

You are riding in a spaceship that has n5,ca*/ o1epg/yt1(g jlcsif a o windows, radios, or other means for you to observe or measure what is outside. You wish to determine if th c( , yo1t/gleiac ja1gs/f*5pe ship is stopped or moving at constant velocity. What should you do?

A. You can determine if the ship is moving by determining the apparent velocity of light.

B. You can determine if the ship is moving by checking your precision time piece. If it's running slow, the ship is moving.

C. You can determine if the ship is moving either by determining the apparent velocity of light or by checking your precision time piece. If it's running slow, the ship is moving.

D. You should give up because you have taken on an impossible task.

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2#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The Michelson-Morley experimented/aby/ yq5cru n 1um1rdy 101 was designed to measure

A. the relativistic mass of the electron.

B. the relativistic energy of the electron.

C. the velocity of the Earth relative to the ether.

D. the acceleration of gravity on the Earth's surface.

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3#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Michelson and Morley concluded from the results of their experg cs vo 1z,3;/nju8xkriment that

A. the experiment was a failure since there was no detectable shift in the interference pattern.

B. the experiment was successful in not detecting a shift in the interference pattern.

C. the experiment was a failure since they detected a shift in the interference pattern.

D. the experiment was successful in detecting a shift in the interference pattern.

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4#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

You can build an interferometer yourself if you use the following componentsv (fat 3*xnzpfrf8 lf/p-k (fpdg4(8h :

A. a light source, a detector screen, a partially silvered mirror, a flat mirror, and a glass plate.

B. a light source, a detector screen, two partially silvered mirrors, and a glass plate.

C. a light source, a detector screen, two partially silvered mirrors, a flat mirror, and a glass plate.

D. a light source, a detector screen, a partially silvered mirror, two flat mirrors, and a glass plate.

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5#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State the relativity princi3qnqa 4+uz5zqy1 ,weth 7vn1h pu rs;-ple.

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6#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State the three unprovable assumpti81 4j /ikp9zwdpwb lp4ons of Galilean-Newtonian relativity.

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7#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The theory of special relativityovb8q 3.aw xe,

A. is based on a complex mathematical analysis.

B. has not been verified by experiment.

C. does not agree with Newtonian mechanics.

D. does not agree with electromagnetic theory.

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8#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

One of Einstein's postulates in formulaw8daq;h;oy8 pn/r3yb ting the special theory of relativity was that the laws of physiywaq8dyprh;nb 8 /3;ocs are the same in reference frames that

A. accelerate.

B. move at constant velocity with respect to an inertial frame.

C. oscillate.

D. are stationary, but not in moving frames.

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9#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State the first postulate of specb s7/ n53khveuial relativity.

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10#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State the second post*quh ym8rqg ;2ulate of special relativity.

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11#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If you were to measure your pulse rate p uvujd( r1olwn*,.bm- -o9aowhile in a spaceship moving away from the Sun at a speed close to the speed of light, y9-*v or m boa.du,1-w lu(nojpou would find that it was

A. much faster than normal.

B. much slower than normal.

C. the same as it was here on Earth.

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12#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Relative to a stationary observer, a ighn:xwo/ pm;uo90e- .qbl . xn5lu3 ho1jwn9moving clock

A. always runs slower than normal.

B. always runs faster than normal.

C. keeps its normal time.

D. can do any of the above. It depends on the relative velocity between the observer and the clock.

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13#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The gamma factor is defiauf)3up b/p5v ned as $\gamma = 1 / \sqrt{1- (v/c)^2}$, therefore gamma ($\gamma$)

A. can be zero.

B. can be any number less than or equal to one.

C. can be any number greater than or equal to one.

D. cannot equal one.

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14#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Suppose one twin takes a ride in a space ship traveling at a very high s 9ung(b1 nzf*tpeed to a distant star and back b 9n1t*zung( fagain, while the other twin remains on Earth. The twin that remained on Earth predicts that the astronaut twin is

A. younger.

B. the same age.

C. older.

D. cannot be determined from the given information

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15#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Relative to a stationaru wj4 ;h:80pw5q; tpgsq lka8ey observer, a moving object

A. appears shorter than normal.

B. appears longer than normal.

C. keeps its same length time.

D. can do any of the above. It depends on the relative velocity between the observer and the object.

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16#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object moves in a direction parallex4ro lb.wq )v)l to its length with a velocity that approaches the velocity of light. The width of this object, as measur.v qlwro )x)4bed by a stationary observer,

A. approaches infinity.

B. approaches zero.

C. increases slightly.

D. does not change.

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17#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object moves in a direction parallel to its length qkz :t;i ck1p7with a velocity that approaches the velocity of light1 t:kci ;kpq7z. The length of this object, as measured by a stationary observer,

A. approaches infinity.

B. approaches zero.

C. increases slightly.

D. does not change.

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18#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

As the speed of a particle approaches the speed of lightv704jb,si ok l, the mass of the particol ,kjisb4 70vle

A. increases.

B. decreases.

C. remains the same.

D. approaches zero.

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19#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

As the speed of a particle approaches the speed of light, ther edwubga7uy 08x ,f.375bps s6h ds/j momentum of the partb, e3bu6ydsas f058p7xrsd 7.g /wjuh icle

A. increases.

B. decreases.

C. remains the same.

D. approaches zero.

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20#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spear is thrown by you at a very high 2fjdg(e) .lb5i gww5 nv+. d qc3xsvq(speed. As it passes, you measure its length at one-half 52 g.w(fwn)v.dbq3g(q v5 cx+se ld ijits normal length. From this measurement, you conclude that the moving spear's mass must be

A. one-half its rest mass.

B. twice its rest mass.

C. four times its rest mass.

D. none of the given answers

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21#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What happens to the kinetic energy of a speedy proton when its relalexuhur p(z u1w4)7i3tivistic mass doubles1 uu4pue3l()xi 7hrz w?

A. It doubles.

B. It more than doubles.

C. It less than doubles.

D. It must increase, but it is impossible to say by how much.

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22#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What happens to the total relativistic energy of a speedy proton when its relati8g v yqutx14.ef8c1 cxvistic mass doubles?xcvx8 8y. 1u4qfte1c g

A. It doubles.

B. It more than doubles.

C. It less than doubles.

D. It must increase, but it is impossible to say by how much.

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23#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Consider a particle of maazz,y y9jap9oee5p8;o:9*zx nug c 8 hss $m$ and rest mass $m_0$. Which of the following is the correct expression for the kinetic energy of such a particle?

A. $\frac{1}{2} m_0 v^2$

B. $\frac{1}{2} m v^2$

C. $m c^2 - m_0 c^2$

D. $\frac{1}{2}(mc^2 - m_0 c^2)$

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24#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Consider two spaceships, each traveling0g)yl akh qees(8(4(p go b3un at 0.50c in a straight line. Ship A is moving directly away s)l(k(n8(0opgayhu b 4qge3e from the Sun and ship B is approaching the Sun. The science officers on each ship measure the velocity of light coming from the Sun. What do they measure for this velocity?

A. Ship A measures it as less than c, and ship B measures it as greater than c.

B. Ship B measures it as less than c, and ship A measures it as greater than c.

C. On both ships it is measured to be less than c.

D. On both ships it is measured to be exactly c.

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25#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Which of the following depends on the1chx2)jxi tlude dq)lyy4- , : observer's frame of reference?

A. the mass of the proton

B. the length of a meter stick

C. the half-life of a muon

D. all of the given answers

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26#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

As the velocity of your sj s: et(tew2n-paceship increases, you would observe

A. that your precision clock runs slower than normal.

B. that the length of your spaceship has decreased.

C. that your mass has increased.

D. all of the given answers

E. none of the given answers

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27#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boat can travel 4.0 m/s in still water. With what speed, relativemq19ghi vd2o 49ftsd4 to the shore, does it move in a river that is flowing at 1.0 4fi9hqd1 v2 g9m4dot sm/s if the boat is heading upstream?

A. 3.0 m/s

B. 4.1 m/s

C. 4.8 m/s

D. 5.0 m/s

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28#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boat can travel 4.0 m/s in still water. With what speed, relatixl-kaux 8st 5hsg-,r3gpu0h:cm/aq : ve to the shore, does it move in a river that is flowing at shr tx-3,guh:p5q ul/0km-xa acgs8:1.0 m/s if the boat is heading downstream?

A. 3.0 m/s

B. 4.1 m/s

C. 4.8 m/s

D. 5.0 m/s

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29#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boat can travel 4.0 m/s in still water. Wit8- po)wso+smglq u3 7gh what speed, relative to the shorg 8gw -7mp3+so solu)qe, does it move in a river that is flowing at 1.0 m/s if the boat is heading straight across the river?

A. 3.0 m/s

B. 4.1 m/s

C. 4.8 m/s

D. 5.0 m/s

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30#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How fast should a moving clock travel if it is to be observed by a stationary o , x3n6 fa 5rmeyyng34d3or8rzbserver as running at one-half its normal 43 m eraxz,nn y83frg36r oyd5rate?

A. $0.50 \; c$

B. $0.65 \; c$

C. $0.78 \; c$

D. $0.87 \; c$

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31#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spaceship takes a nonstop4w x e+yzcw(cwzgft175y m 3d* journey to a planet and returns in 10 hours according to a clock on the spwew+w5dzztcyygf4* (31c m x7aceship. If the speed of the spaceship is 0.80c, how much time has elapsed on the Earth?

A. $3.2 \; h$

B. $7.0 \; h$

C. $15 \; h$

D. $17 \; h$

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32#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A set of twins, Andrea and Courtney, are initially 10 years old. Whauh1:5xl0 wvrwj8kzhd68b8p ile Courtney remains on Earth, Andrea rides on a space ship which travels away from Earth at a speed of 0.6c for five years (as mea8:kvph0xzud bl8 j5aw 1w r6h8sured by Courtney), then turns around and comes back at 0.6c. When Andrea returns, Courtney is 20 years old. How old is Andrea upon her return?

A. $10 \; years$

B. $12 \; years$

C. $18 \; years$

D. $20 \; years$

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33#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

One 20-year-old twin brother takes a space trip withbrc q+u 1.14t+ rznsyt-zpb4a a speed of 0.80c for 30 yeau1 y-q +4t1 4.zszbant prr+bcrs according to a clock on the spaceship. Upon returning to the Earth, what is his own age and the age of the Earth-based twin brother?

A. 20; 30

B. 30; 50

C. 50; 70

D. 70; 90

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34#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A meter stick is moving tog pv fa68qo93bward you with a speed of 0.80c. What is its length?

A. zero

B. $0.40 \; m$

C. $0.60 \; m$

D. $1.0 \; m$

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35#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How fast would a rocket ship havejhchu65 5 m*/nzr zvs( to move to contract to half of its proper lengthc j uvrnz(s/z6*5hhm 5 (as observed by a stationary object)?

A. $0.50 \; c$

B. $0.65 \; c$

C. $0.78 \; c$

D. $0.87 \; c$

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36#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The length of a spaceship is 10 m when it is at rest. If t.wup;4ug hd.n he spaceship travels by you wit;.uhu 4gpn dw.h a speed of 0.70c, what length does it appear to you?

A. $5.5 \; m$

B. $7.1 \; m$

C. $12 \; m$

D. $18 \; m$

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37#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The closest star to our solar system is Alpha Centauri, which is 4.30 light yea,yvl lsv7z2sel// u.b rs away. A spaceship with a constant sl/lv2/7, ssbeu yv. lzpeed of 0.800c relative to the Earth travels toward the star. What distance does the space ship travel according to a passenger on the ship?

A. $2.58 \; ly$

B. $3.52 \; ly$

C. $4.12 \; ly$

D. $4.30 \; ly$

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38#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The closest star to our solewu* w ef)i mt7+.+jn gwc7k9lar system is Alpha Centauri, which is 4.30 light years away. A spaceship with a constant speed of 0.800c relative to the Earth travels toward the star. How much time would elapse on a clock on board the spacet.uc7e k * fg i9enj+w7)wl+wmship?

A. $3.23 \; y$

B. $4.40 \; y$

C. $5.15 \; y$

D. $5.38 \; y$

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39#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The closest star to our solar system is Alpha Centauri, whick2 tk6:q1u lksr0 ts4sh is 4.30 light years away. A spaceship with a constant speed of 0.800c relative to the Earth travels toward the star. How much time woulu rsts 4kq6:lkt21k0 sd elapse on a clock on the Earth?

A. $3.23 \; y$

B. $4.40 \; y$

C. $5.15 \; y$

D. $5.38 \; y$

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40#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An electron is traveling at 0.85c. What is its mass?a vls8 :7f+vs -d8/eg nama2uo (The rest mass is $9.11 \times 10^{-31} \; kg$.)

A. $1.4 \times 10^{-29} \; kg$

B. $7.2 \times 10^{-30} \; kg$

C. $1.7 \times 10^{-30} \; kg$

D. $2.4 \times 10^{-30} \; kg$

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41#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What is the speed of a proton i p ec +zwwf0.2a 790ankoqcfh,f its mass is twice its rest mass?

A. $0.50 \; c$

B. $0.68 \; c$

C. $0.73 \; c$

D. $0.87 \; c$

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42#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If the velocity of your spaceship goes from 0.3 c to 0.6 c, then your maot+r4/tw3n tw ss will increasto+t t4rnw/ w3e by

A. 19%.

B. 38%.

C. 100%.

D. 200%.

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43#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What is the momentum in grujonhdy .;uqg-h 5 fm- -t64anmj4:$kg \cdot m/s$ of a proton when it is moving with a speed of 0.60c?

A. $1.2 \times 10^{-19} \; kg \cdot m/s$

B. $1.5 \times 10^{-19} \; kg \cdot m/s$

C. $3.0 \times 10^{-19} \; kg \cdot m/s$

D. $3.8 \times 10^{-19} \; kg \cdot m/s$

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44#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

During a reaction, an elems64 iz3 3ntp8vtwvp/ gent loses $4.8 \times 10^{-28} \; kg$ of mass. How much energy (in Joules) is released?

A. $4.3 \times 10^{-11} \; J$

B. $1.4 \times 10^{-19} \; J$

C. $1.6 \times 10^{-36} \; J$

D. $5.3 \times 10^{-45} \; J$

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45#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

During a reaction, $1.7 \times 10^{-4} \; J$ of energy is released. What change of mass would cause this?

A. $5.1 \times 10^{-4} \; kg$

B. $1.5 \times 10^{-13} \; kg$

C. $4.8 \times 10^{-18} \; kg$

D. $1.9 \times 10^{-21} \; kg$

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46#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How much energy would be released if 2.0 kg of material was lost during a reac1up6tqdfq xe :.- i)yztio) .1zpt: qid-y6exfuq n?

A. $1.8 \times 10^{17} \; J$

B. $1.5 \times 10^{16} \; J$

C. $6.0 \times 10^{8} \; J$

D. $4.7 \times 10^{-8} \; J$

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47#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The amount of energy equivalent to two kilogram /i0p +hk;aovdxm, d8m-djty1 d 2mbd ;of mass at rest is

A. $18 \times 10^{16} \; J$.

B. $3.0 \times 10^{8} \; J$.

C. $9.0 \times 10^{16} \; J$.

D. none of the given answers

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48#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The atomic bomb that was dropped b.5axgyam+rw6;mbp:v +;isson Nagasaki in 1945 killed 140,000 people, helping to end Wo 6sxvw+;y :+sgpm5m.;airb barld War II on the next day. It released energy equivalent to that of 20,000 tons of TNT explosive. How much mass was converted to energy when this took place? (1000 tons of TNT = $4.3 \times 10^{12} \; J$) Incidentally, modern H-bombs have energy yields 1000 times as much!

A. $1 \; g$

B. $10 \; g$

C. $100 \; g$

D. $1 \; kg$

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49#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The kinetic energy of a proton is 80% of its tys4/7o:iie4le (ddfz9d;dvon zd ;5 i otal energy. What is the speed of theodi e ;vi;:4on 4didsd/ze fy(l5dz 97 proton?

A. $0.02 \; c$

B. $0.87 \; c$

C. $0.98 \; c$

D. $1.0 \; c$

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50#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The kinetic energy of a proton is 80% of its total po wxz*+whd/-.j3dxo+qg , vk energy. What is the momentum ghk3xvq,w+xjwo p+/ z -d.d*oin $kg \cdot m/s$ of the proton?

A. $5.0 \times 10^{-19} \; kg \cdot m/s$

B. $2.5 \times 10^{-19} \; kg \cdot m/s$

C. $5.0 \times 10^{-18} \; kg \cdot m/s$

D. $2.5 \times 10^{-18} \; kg \cdot m/s$

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51#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What energy is release6w*4gscnz-lnwh23 c h ds p8yn3qm1+j d (in MeV) during a reaction in which $1.67 \times 10^{-25} \; kg$ of material is converted to energy?

A. $5.0 \times 10^{-14} \; MeV$

B. $4.1 \times 10^{-7} \; MeV$

C. $3.1 \times 10^{-4} \; MeV$

D. $9.4 \times 10^{4} \; MeV$

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52#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How much mass is lost durinqp *mi-78h bmrryz d).g a reaction in which $1.7 \times 10^{8} \; MeV$ of energy is released?

A. $1.8 \times 10^{-8} \; kg$

B. $5.7 \times 10^{-9} \; kg$

C. $1.9 \times 10^{-17} \; kg$

D. $3.0 \times 10^{-22} \; kg$

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53#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What is the total energy of an electr c,o1odjbb(e 8on moving with a speed of 0.95c?

A. $2.6 \times 10^{-13} \; J$

B. $8.2 \times 10^{-14} \; J$

C. $1.1 \times 10^{-13} \; J$

D. $1.2 \times 10^{-14} \; J$

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54#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How many joules of energy are requxqa t0ja; 9woz hwxez5*3 zo)kw/-x*fired to accelerate one kilogram of mass from rest to a velocie0t*xoa3; -w/zxhak) wq9 * ofzxzwj5ty of 0.866 c?

A. $1.8 \times 10^{17} \; J$

B. $9.0 \times 10^{16} \; J$

C. $3.0 \times 10^{3} \; J$

D. none of the given answers

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55#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

In a nuclear plant, wjk p(i 1vyn65nn- 8f*j*lavq $1017 J$ of energy is available from mass conversion. How much mass was lost?

A. $0.1 \; kg$

B. $1 \; kg$

C. $10 \; kg$

D. $100 \; kg$

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56#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An electron is accelel,f6bu l.* cljwg5 lk5rated through 100 kV. By what factor has its mass increased with respect to its rest mass 5 llk56lgw.*cju,lfb?

A. 1.20

B. 1.55

C. 4.25

D. 8.00

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57#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

You are in a rocket traveling away from the Sun at 0.95c. Yo:lac 7jc:i(yd u measure the speed of light yad:c: 7li(jcfrom the Sun to be

A. 0.05c.

B. 0.95c.

C. 1.0c.

D. cannot be determined without knowing the frequency of the light

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58#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Two spaceships are traveling through space at 0.60 c relative to the Eartz)s klidz9)9abo a lh5 t9+a3gf9c,uuh. If the ships are headed directly toward each other, what is their approach velocity, as measured by a persono9udhg))uzacf59 93 t +la, lz9ikbsa on either craft?

A. $1.2 \; c$

B. $c$

C. $0.60 \; c$

D. none of the given answers

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59#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A fast spaceship is tr;1n yuiv(ez1 ,s 4,vyp; )vik xrzpf,waveling with a speed of 0.80c. How fast would light travel from the headlights of the ship relative to a stationary observeryw iv kxzpy r1 4u;1,s,(p evi,nfv)z;?

A. $0.20 \; c$

B. $0.80 \; c$

C. $1.0 \; c$

D. $1.8 \; c$

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60#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spaceship moves away fdab35 8h0qbk aa oo,(trom the Earth with a speed of 0.80c. The spaceship then fires a missile with a speed of 0.50c relative to the spaceship. What is the velocity of the missile measur k8qt3a( ,o a0doabhb5ed by observers on the Earth if the missile is fired away from the Earth?

A. $0.30 \; c$

B. $0.50 \; c$

C. $0.93 \; c$

D. $1.3 \; c$

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61#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spaceship moves aw*k8lkuomna tcj:i,x:1 7wt4 aay from the Earth with a speed of 0.80c. The spaceship then fires a missile with a speed of 0.50c relative to the spaceship. What is the velocity of the missile i7ac u: ttk:w o*8jlm4k na1,xmeasured by observers on the Earth if the missile is fired toward the Earth?

A. $0.30 \; c$

B. $0.50 \; c$

C. $0.93 \; c$

D. $1.3 \; c$

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总分:61分及格:36.6分时间:不限时

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