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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 ofl sqdkf xrh58uw.0u0xqf ef6 0o8d/ -u power?

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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 large2s :hcd;jq rznu o,(i-r than the heigznhc2o:jqrs - , u(id;ht 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 ofnt97zyo5 *7fpl 8.,ahk0eme(gd jbj n 5zj8ut $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

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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 fundam+.:8astdv bd iental 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 approximatekc(u0 k*ho)ww ly $10^{12} \mathrm{~km}^3$ 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 +;jg8pl28wttv 5m cn lp 0 nd9c;vf:wgof magnitude, the number of heartbeats of an average adult vg wj;mtdlc+5n29gf ;:ct88l0 v pnwp 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 contains one fundamental unit andyrz+15:ubm;.jf fi m a 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 th+p (lgu 83tpnwe answer with the most decimal pla+gl 8uwp( npt3ces?

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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 l:+no ,uxpgt9 is the order of magnitude of the ratio between the mass of the car to, tgpu+l x9no: 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 $64.1 \pm 0.3$ meters in $5.177 \pm 0.04$ 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 sha/; mkl88gjbt gpe of a cube with sides of $2.31 \mathrm{~m}$. 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 square base of sif 28qqcp*e;e, qk;s;lwf4puo sl8kh;de $x$ 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 $7.1 \%$ and $h$ is measured to $6 \%$, 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 partx3e lz9hv. q4l+xa 4ve of a metre rule that is graduated in millimetres, as shown b3.ql xv+zhx9l 44eeavelow.

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 $3.7 \% $ uncertainty in $V$ and a $2.6 \%$ 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 mer80i cvy6oo yc)s*apo5mm +2nasured to be $20.0 \pm 1.1 \; cm$. 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 $1.6 \%$ and the uncertainty in $l$ is $3.5 \%$, 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 are esti+e;l 2/ 7ghtr0jek nlnmated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 difference zyzegi++oh /,i- 4. b ,tytggq9 yo9r/p 0isul($V$) across a resistor is measured with a digital voltmeter to be $0.45 \; V$ . 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 op;wa5x+mu i(sq 9wa8 tf the following can be reduced u;+wa9pa8xq( 5ws itm?

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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. )a:rjd)7 vk ola6agf1 The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of vj1 fa rk7ld)og:6a)athis measurement?

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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 ipkyq3 ma/(e3 as 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 eveidcd:p 0nmu-jldb7-4 nts, a and b, are measured to be $(5.1 \pm 0.1)s$ 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 qlowo)pyh z s gf/ //z( lphn)41b9geu7uantity Q varies is plotted. Theory states that P should vary linearly wil nphlzyzo)7)p/h/s o9ewb(/1 gg u f4th 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 measured using part ofbok cv9s * :ifey2l4(c a measuring tape as shown below*924 ck(sy f:c leiobv.

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 diffevugj sofm6+ 1:rent objects are independently measured. The graph is a plot ofm+v:o jsg u16f 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 plate are measure7kde)1:y-unfbk o h: dd, and the diagram shows the mk dh-fk1 :yd: ou7be)neasured values with their uncertainties.

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 soli2lw(di6k d9y atv1 b/kh( 8ngq,xml6kd sphere is measured with percentage uncertainty of 4%. The radius (hd 8,iy9v6mlqk/n ab wd1x6kgt(kl2 of the sphere is 6.0 ± 0.1 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 t 0f+n(sizvc89ewg r(m5l q f4shat:
$$
P=\frac{g h^2}{u^3}
$$
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 acceleration due to gravity pr ;9yexnqv/dzbsj) 2a/g9,whe oduces the following gh/)a z29b,/sndeqv9;wje yxresults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measureme3n06 ds(e0 e++jth4 uark ourcnt has an uncertainty oue3 de(c+a+j4trrk06u nso h0f $0.5 \mathrm{~cm} .$

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 pn( gk2miq.y) vtk,f ,zo+e ,m$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.3 \%$ 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-negf,7 ;plj .p.:rregnw.eq u-hsligible zero offset error. Which of the following statemhq;j.puf ,re ge..-r7:w nslp ents is 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 times. All of the measurements lie betify,xdl7jmi 0(, op te (5)fkuween $18.8 \mathrm{~cm}$ 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 5g8tl qmvrv;vxub1m-3yg)pq r0 7n .qqc 6e4m± 0.5 cm long is cut from a longer piece that is 12.6 ± 0.g7r1tg v)65yl4v 8ueqqv-0b qm ;cxpmqnmr 3.2 cm long. How long 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 3 \%$. 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 ± 0.5 N is appwvnng k57tp, k(-o (vmlied to a mass of 2.0 ± 0.12 kg, causing it to accelerate. What is the percenk twm - (v5n(7kpvo,ngtage 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 mg )cg e4+p r/43ldxgf9ml)cigfo,xm(,ds pe :easured to be 10.0 ± 1.7 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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