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习题练习:Kognity IB Physics A.0 Measurements & Uncertainty

 作者: admin   总分: 39分  得分: _____________

答题人: 游客未登录  开始时间: 24年09月04日 22:27  切换到: 整卷模式

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1#
 
单选题 ( 1.0 分) (组内1/10) 切至整卷模式 搜藏此题  
第 1 题组 (共 10 题 10 分)
  Which of the following could be a unit of powe:yt(v-jft 7hrhm j,ko . ;t.sor?

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2#
 
单选题 ( 1.0 分) (组内2/10) 切至整卷模式 搜藏此题  
  By approximately how many powers of ten is the height of a human p)37f j;b*39sy mcfis e jxvk/larger than the heicevmk3*sy )x 9 j;3jfsbi7/f pght of a grain of sand?

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3#
 
单选题 ( 1.0 分) (组内3/10) 切至整卷模式 搜藏此题  
  What is the value of 3ub96ik8vksl; av k+l $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

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4#
 
单选题 ( 1.0 分) (组内4/10) 切至整卷模式 搜藏此题  
  Which of the following is a 6alv4nmt:.fnle., 8qka/ wjwfundamental unit in the SI system?

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5#
 
单选题 ( 1.0 分) (组内5/10) 切至整卷模式 搜藏此题  
  The volume of the Earth is approximat8q.a;9jo qz c+p oc/czely $10^{12} \mathrm{~km}^3$ and the volume of a grain of sand is approximately $1 \mathrm{~mm}^3$. To the nearest order of magnitude, if the Earth was hollow, how many grains of sand could it contain?

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6#
 
单选题 ( 1.0 分) (组内6/10) 切至整卷模式 搜藏此题  
  A farmer in Tanzania has an average life expectancy of 62 years. Which of the following is an estimate of his lifetime in seconds?

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7#
 
单选题 ( 1.0 分) (组内7/10) 切至整卷模式 搜藏此题  
  Estimate, to the nearest order of magnitude, the number of heartbeatq9, egy6no j4 y, vxe,lmc/lb/s of an average m,, l//xn9q4c jb eev 6lygo,yadult human in a day.

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8#
 
单选题 ( 1.0 分) (组内8/10) 切至整卷模式 搜藏此题  
  Which of the following-fx yunl c +nlv0/ + pc9a13dexyx7/wg contains one fundamental unit and one derived unit?

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9#
 
单选题 ( 1.0 分) (组内9/10) 切至整卷模式 搜藏此题  
  If A=10.0 and B=0.50, which calculation will give the answer with the most decim )syf4 n,n31aywzk(c fehp72 1yw+rztal 2kny,asr4( f+zhyw1zt7n3yc1 w )e pfplaces?

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10#
 
单选题 ( 1.0 分) (组内10/10) 切至整卷模式 搜藏此题  
  A car has a mass of 1000kg. A mouse has a mass of 10g. What is thl xza w )(88 9lqiwzzbkka6 tp729z:tfe order of magn2t wlfka(xlzb wki pz)8zq 9z7t8:9a6itude of the ratio between the mass of the car to that of the mouse?

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11#
 
填空题 ( 1.0 分) (组内1/29) 切至整卷模式 搜藏此题  
第 2 题组 (共 29 题 29 分)
  A train travels $48.0 \pm 0.8$ meters in $10.040 \pm 0.08$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Leave your answer to two significant figures, without units and without the $\pm$ symbol.)

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12#
 
填空题 ( 1.0 分) (组内2/29) 切至整卷模式 搜藏此题  
  A water tank is the shapo6 + ni)tzr;sfe of a cube with sides of $3.01 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Give your answer without a unit and to 2 significant figures)

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13#
 
填空题 ( 1.0 分) (组内3/29) 切至整卷模式 搜藏此题  
  A pyramid has a squarh6+2s n 1rotqee base of side $x$ and height $h$. The volume $V$ of the pyramid is given by the expression:
$$V=\frac{x^2 h}{3}$$
If $V$ is measured to $3.1 \%$ and $h$ is measured to $1 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

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14#
 
单选题 ( 1.0 分) (组内4/29) 切至整卷模式 搜藏此题  
  The length of a pencil is measured using part of a metre rule ,cl ,v2lj)t,sgumh 0jthat is graduated in millimetres, as sh j ,)c,jvg m2l0thsu,lown below.

What is the length of the pencil?

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15#
 
填空题 ( 1.0 分) (组内5/29) 切至整卷模式 搜藏此题  
  The volume $V$ of a cone of height $h$ and radius $r$ is given by the expression:
$$V=\frac{\pi r^2 h}{3}$$
In a particular experiment, there is a $5.7 \% $ uncertainty in $V$ and a $0.8 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

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16#
 
填空题 ( 1.0 分) (组内6/29) 切至整卷模式 搜藏此题  
  The radius of a balloon is measured tnegt:qf oeli :xgs)1; , omg/(o be $11.9 \pm 1.1 \; cm$. What is the percentage uncertainty in the calculated volume of the balloon?  (数值) % (Remember to keep three significant figures and exclude the $\%$ symbol with your answer and treat the balloon as a sphere)

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17#
 
填空题 ( 1.0 分) (组内7/29) 切至整卷模式 搜藏此题  
  The period $T$ of oscillation of a pendulum of length $l$ is given by:
$$T=2 \pi \sqrt{\frac{l}{g}} .$$
If the uncertainty in $g$ is $0.7 \%$ and the uncertainty in $l$ is $2.1 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign and keep two significant figures)

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18#
 
填空题 ( 1.0 分) (组内8/29) 切至整卷模式 搜藏此题  
  The lengths of the sides of a room areo)xp :(y 5hajgxlrh nk4+su-/ estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 1 \%$. What is the absolute uncertainty in the volume of the room?  (数值)  $m^3$ (Give your answer in $\mathrm{m}^3$ to two significant figures, without a unit.)

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19#
 
填空题 ( 1.0 分) (组内9/29) 切至整卷模式 搜藏此题  
  The potential differxkwwxr cn 5bw5c; 6s --isr;m,ence ($V$) across a resistor is measured with a digital voltmeter to be $0.34 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank and keep two significant figures.)

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20#
 
单选题 ( 1.0 分) (组内10/29) 切至整卷模式 搜藏此题  
  By averaging three measurements of the same quantity which of the ff+69e zs vt.o;jee djeh*.2hkollowing can b vfh.osj;ej+6e he.kdt92ez*e reduced?

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21#
 
单选题 ( 1.0 分) (组内11/29) 切至整卷模式 搜藏此题  
  A student measures a distance four times. The readings are 37j 43kphk,6jdt0s1g ta .8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurem,hjj01a4tkk3 d g6 tpsent?

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22#
 
单选题 ( 1.0 分) (组内12/29) 切至整卷模式 搜藏此题  
  A student measures two lengths av9zsn mkv69m r1wi.v+ s follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

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23#
 
单选题 ( 1.0 分) (组内13/29) 切至整卷模式 搜藏此题  
  The time for two events, a and b, are measured to be0jw* zzaxwfm1u /0j5k x-ux(e $(5.1 \pm 0.1)s$ and $(4.9 \pm 0.1)s$ respectively. In which of the following quantities is the fractional(percent) uncertainty the smallest?

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24#
 
单选题 ( 1.0 分) (组内14/29) 切至整卷模式 搜藏此题  
  The variation of quantity P as quantity Q varies is plotteu;8m+) l-p0xset od8d f 6bk+/yum+b bcmel5rd. Theory states that P should vary lineard5-em ;ts/+ ur ybck8 m0b x+udfbm)6ep8lol+ ly with Q.


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25#
 
单选题 ( 1.0 分) (组内15/29) 切至整卷模式 搜藏此题  
  The length of a pencil is mxf4g m4e*qmk )easured using part of a measuring tape as shown below.mm *xq)4fkge4

What is the length of the pencil?

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26#
 
单选题 ( 1.0 分) (组内16/29) 切至整卷模式 搜藏此题  
  The masses and weights of different osm3 dk6h, e c)+nzms.jbjects are independently measured. The graph is,+ e 6s3z)sc jndkhm.m a plot of weight versus mass that includes error bars.

What do these experimental results suggest?

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27#
 
单选题 ( 1.0 分) (组内17/29) 切至整卷模式 搜藏此题  
  The resistance $R$, and cross-sectional area $A$, of equal lengths of wire are measured at constant temperature and a graph of $R$ against $\frac{1}{A}$ is plotted. Which one of the following graphs would be obtained if $R$ is directly proportional to $\frac{1}{A}$ and if there is a significant systematic error in the measurement of $R ?$


本题所包含的其它图片:

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28#
 
填空题 ( 1.0 分) (组内18/29) 切至整卷模式 搜藏此题  
  The lengths of the sides of a rectangular platemp i*e3dfp3sy5 fng -. are measured, and the diagram shows the measured values with their uncertaintiesffidp- emp g3.n *5sy3.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

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29#
 
填空题 ( 1.0 分) (组内19/29) 切至整卷模式 搜藏此题  
  The density of a solid sphere is m2hmm uf+v6n70:k b jwtk5by q 12i3yaoeasured with percentage uncertainty of 5%. The radius of the af +bm1iy6bku:5y2h2t0qv 73omnk jw sphere is 3.1 ± 0.5 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

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30#
 
单选题 ( 1.0 分) (组内20/29) 切至整卷模式 搜藏此题  
  Experimental data has shown thakv)ah, ( ytoy7t:
$$
P=\frac{g h^2}{u^3}
$$
where $g$ is a constant. If the percentage uncertainties in $h$ and $u$ are $a$ and $b$ respectively, what is the percentage uncertainty in $P ?$

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31#
 
单选题 ( 1.0 分) (组内21/29) 切至整卷模式 搜藏此题  
  An experiment used to measure the accelerati 0 x6sbbs0tp6ion due to gravity produces the follot0s xp6 is0b6bwing results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
Which of the following statements is true about these data?
Are there random or systematic errors, both, or neither?
(Acceleration due to gravity, $g$, on Earth is usually taken as $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

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32#
 
填空题 ( 1.0 分) (组内22/29) 切至整卷模式 搜藏此题  
  A rectangle was drawn using a ruler, such that each mea6r;/z.ok 5 uxknz/ahxsurement has an uncertain5ho.n/kuk z6xaz; rx/ty of $0.5 \mathrm{~cm} .$

What is the absolute uncertainty in the area of the entire rectangle (i.e. combined small and big rectangles), in $\mathrm{cm}^2$ ?    $cm^2$ (Do not write units with the answer. Give your answer to 2 significant figures.)

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33#
 
填空题 ( 1.0 分) (组内23/29) 切至整卷模式 搜藏此题  
  For an object of mass 9bh7 ah7abkh ,$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.5 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

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34#
 
单选题 ( 1.0 分) (组内24/29) 切至整卷模式 搜藏此题  
  An ammeter has a non-negligible zero offs.ajuh;q7*b0j d*zj dg6zljs. et error. Which of the following statements iszdl *zgudj 67 ;hjqb.*as0jj. correct?

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35#
 
填空题 ( 1.0 分) (组内25/29) 切至整卷模式 搜藏此题  
  A student measures a length five tim:jg; mt8+ m2h i *kx9snlu dn+xjq-u)kes. All of the measurements lie between $18.8 \mathrm{~cm}$ and $19.2 \mathrm{~cm}$. What should the student quote as the absolute uncertainty in the length? The absolute uncertainty is    $cm$ (Do not include the $\pm$ symbol nor the unit)

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36#
 
单选题 ( 1.0 分) (组内26/29) 切至整卷模式 搜藏此题  
  A piece of string 9.5 ± 0.5 cm l t9 jdw+6z(ee rvoh40xong is cut from a longer piece that is 12.6 ± 0.5 cm long. How lo04wj+ xe vdehrz6( ot9ng is the remaining piece of string?

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37#
 
填空题 ( 1.0 分) (组内27/29) 切至整卷模式 搜藏此题  
  A current of value $I$ flows through a resistor of resistance $R$ and the power dissipated is $I^2 R$. The value of $I$ has an uncertainty of $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (Give your answer correct to two significant figures without the % sign.)

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38#
 
填空题 ( 1.0 分) (组内28/29) 切至整卷模式 搜藏此题  
  A force of 10.0 ± 0.6 N is applied to a mass of 2.0 ± 0.22 kg, causing rbcn *9;:(qy3l9 v qddzlhrn; it to accelerate. What is the pev dqrqcynh; (9*d 3 zlrl9b;:nrcentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

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39#
 
填空题 ( 1.0 分) (组内29/29) 切至整卷模式 搜藏此题  
  The radius of a circle of wire is measured to ewze761z , eyxbe 10.0 ± 0.7 cm.
What is the percentage error in the area of the loop?  (数值) %
What is the percentage error in the circumference of the loop?  (数值) %

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