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PRACTICE：Kognity IB Physics A.0 Measurements & Uncertainty

  Author: admin    Total: 39 Marks  Marks Earned: _____________

User Name: No Login  Start Time: 24/08/21 21:19  Switch to Whole-Paper Mode

Mark Problem
1#
 
Single-Choice ( 1.0 marks) (No. in Group 1/10) Whole-Paper View Save Problem  
第 1 题组 (共 10 题 10 分)
  Which of the following could be a unit of powe)x;1 tzecry lm xg4h*.r?

Correct Answer:     Click here for detailed solution
Mark Problem
2#
 
Single-Choice ( 1.0 marks) (No. in Group 2/10) Whole-Paper View Save Problem  
  By approximately how many powers of ten is the height of a human larger th:*o oo8o y;.h l(tkgaean the height of a grain o a;k tgeo(*y.8o :ohlof sand?

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Mark Problem
3#
 
Single-Choice ( 1.0 marks) (No. in Group 3/10) Whole-Paper View Save Problem  
  What is the value ofqg qn(dn9osf gv2i3 :( $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

Correct Answer:    
Mark Problem
4#
 
Single-Choice ( 1.0 marks) (No. in Group 4/10) Whole-Paper View Save Problem  
  Which of the following is a fundamental unitiri-luz0zh+-gf)1 sqzm2 bt5mpu8d14g /m ec in the SI system?

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Mark Problem
5#
 
Single-Choice ( 1.0 marks) (No. in Group 5/10) Whole-Paper View Save Problem  
  The volume of the Earth is approximatefw6w2 x7o-j33f bo0nhbn i vm*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?

Correct Answer:    
Mark Problem
6#
 
Single-Choice ( 1.0 marks) (No. in Group 6/10) Whole-Paper View Save Problem  
  A farmer in Tanzania has an average life expectancy of 62 years. Which of the following is an estimate of his lifetime in seconds?

Correct Answer:    
Mark Problem
7#
 
Single-Choice ( 1.0 marks) (No. in Group 7/10) Whole-Paper View Save Problem  
  Estimate, to the neareslq /o- s/7:vthlhgcg3aqo s2 0t order of magnitude, the number of heartbeats of an average al//t-al s :shocv03 gg7qhqo2dult human in a day.

Correct Answer:    
Mark Problem
8#
 
Single-Choice ( 1.0 marks) (No. in Group 8/10) Whole-Paper View Save Problem  
  Which of the following contains ojg; a;(kmpip92+r4v9qcn inane fundamental unit and one derived unit?

Correct Answer:     Click here for detailed solution
Mark Problem
9#
 
Single-Choice ( 1.0 marks) (No. in Group 9/10) Whole-Paper View Save Problem  
  If A=10.0 and B=0.50, which calcuo; ;azpm7r m yy fi+(kovdj: e/k4o+bh9e2u5glation will give the answer with the most decimal ib kv +(o moy;7a:e4e/p ;+25j zmfugkhd9ryoplaces?

Correct Answer:     Click here for detailed solution
Mark Problem
10#
 
Single-Choice ( 1.0 marks) (No. in Group 10/10) Whole-Paper View Save Problem  
  A car has a mass of 1000kg. A mouse has a mass of 10g. W80h4f vw4a +nt7brsiev6 qo k8hat is the order of magnitude of the ratio between the mass of the q v4t4nvk8b8rhos ewf7ia0+6 car to that of the mouse?

Correct Answer:     Click here for detailed solution
Mark Problem
11#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 1/29) Whole-Paper View Save Problem  
第 2 题组 (共 29 题 29 分)
  A train travels $44.0 \pm 0.5$ meters in $4.178 \pm 0.04$ seconds. What is the absolute uncertainty in its speed?  (数值)  (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:     Click here for detailed solution
Mark Problem
12#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 2/29) Whole-Paper View Save Problem  
  A water tank is the shape of a cube wn,o 7*+uirpwgpj2y:,jg.sr0x at qy x2g)cb7ith sides of $4.16 \mathrm{~m}$. Each side is measured with an uncertainty of $2.1 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:    
Mark Problem
13#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 3/29) Whole-Paper View Save Problem  
  A pyramid has a square base of sidc,publy:u1 /x 3.wplye $x$ 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 $3.2 \%$ and $h$ is measured to $6 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

Correct Answer:     Click here for detailed solution
Mark Problem
14#
 
Single-Choice ( 1.0 marks) (No. in Group 4/29) Whole-Paper View Save Problem  
  The length of a pencil is measured using part of a metre rule that iskc1i0,b: d w *xx1khvr graduated in millimet*1h w k,xxri:kb0v 1dcres, as shown below.

What is the length of the pencil?

Correct Answer:     Click here for detailed solution
Mark Problem
15#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 5/29) Whole-Paper View Save Problem  
  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 $4.8 \% $ 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)

Correct Answer:     Click here for detailed solution
Mark Problem
16#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 6/29) Whole-Paper View Save Problem  
  The radius of a balloon gjw2u .8ay 6yois measured to be $25.4 \pm 0.6 \; cm$. What is the percentage uncertainty in the calculated volume of the balloon?  (数值) % (please exclude the $\%$ symbol with your answer and treat the balloon as a sphere)

Correct Answer:     Click here for detailed solution
Mark Problem
17#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 7/29) Whole-Paper View Save Problem  
  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 $1.4 \%$ and the uncertainty in $l$ is $2.3 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (please only fill in numerical value without the % sign)

Correct Answer:     Click here for detailed solution
Mark Problem
18#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 8/29) Whole-Paper View Save Problem  
  The lengths of the sides of a room are ei 4q(, sqr6j6mrih7t9adz h-ostimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. What is the absolute uncertainty in the volume of the room?  (数值)  $m^3$ (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:     Click here for detailed solution
Mark Problem
19#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 9/29) Whole-Paper View Save Problem  
  The potential difference3j a:vv lslnqlyx.oib63 .*e6 ($V$) across a resistor is measured with a digital voltmeter to be $0.49 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:     Click here for detailed solution
Mark Problem
20#
 
Single-Choice ( 1.0 marks) (No. in Group 10/29) Whole-Paper View Save Problem  
  By averaging three measurements of the same quantity :/c cwy4b:eas v,,tiv which of the following can besw4vt ,c:,vya c /i:be reduced?

Correct Answer:     Click here for detailed solution
Mark Problem
21#
 
Single-Choice ( 1.0 marks) (No. in Group 11/29) Whole-Paper View Save Problem  
  A student measures a distance four times. The readings a x.42rhdlcchz:0 i.fmfz 9ws/ re 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cmr d 40/h9xfsci 2z wfczl..h:m. What is the best estimate of this measurement?

Correct Answer:     Click here for detailed solution
Mark Problem
22#
 
Single-Choice ( 1.0 marks) (No. in Group 12/29) Whole-Paper View Save Problem  
  A student measures two lengths as fo6,a+c o0a8 wx ue+vqeullows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

Correct Answer:     Click here for detailed solution
Mark Problem
23#
 
Single-Choice ( 1.0 marks) (No. in Group 13/29) Whole-Paper View Save Problem  
  The time for two events, a and b, are measured to4f femx d1ij34 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?

Correct Answer:     Click here for detailed solution
Mark Problem
24#
 
Single-Choice ( 1.0 marks) (No. in Group 14/29) Whole-Paper View Save Problem  
  The variation of quantity P as quantity Q varies ,b +svnz 6b4*jvir4yris plotted. Theory states that P should nbvb+ ,svjz6* yr4i r4vary linearly with Q.


Correct Answer:     Click here for detailed solution
Mark Problem
25#
 
Single-Choice ( 1.0 marks) (No. in Group 15/29) Whole-Paper View Save Problem  
  The length of a pencil is measured using part of a measuring taprvoxsir v x*3fb/7/9 ie as shown below. 9x73/ irbix sr*fvov/

What is the length of the pencil?

Correct Answer:     Click here for detailed solution
Mark Problem
26#
 
Single-Choice ( 1.0 marks) (No. in Group 16/29) Whole-Paper View Save Problem  
  The masses and weights of different objects are independently mes f7g 4 tn 7 hmu*z848ut,f0ipzab1onhasured. The graph is a plot of weight versus massnahsf7pfb0gu4tz7*ni8 m8 uz4h ot1 , that includes error bars.

What do these experimental results suggest?

Correct Answer:     Click here for detailed solution
Mark Problem
27#
 
Single-Choice ( 1.0 marks) (No. in Group 17/29) Whole-Paper View Save Problem  
  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 $R ?$
A B

C D

Correct Answer:     Click here for detailed solution
Mark Problem
28#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 18/29) Whole-Paper View Save Problem  
  The lengths of the sides of a rectangulb92 udj32an w2x*z7xwz. pqtg ar plate are measured, and the diagram shows the measured values with 2x7dqz.*a2 u9b w3g2ptn jwx ztheir uncertainties.

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

Correct Answer:     Click here for detailed solution
Mark Problem
29#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 19/29) Whole-Paper View Save Problem  
  The density of a solid sphere,6 i9 glq2ba5scohn9e is measured with percentage uncertainty of 4%. The radius of the sphere is 4.9 ± 0.3 cm. What is the percentage un9o,2s9 chabqi6g nel5 certainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

Correct Answer:     Click here for detailed solution
Mark Problem
30#
 
Single-Choice ( 1.0 marks) (No. in Group 20/29) Whole-Paper View Save Problem  
  Experimental data has shown that:bwnq 1+i9xcq0
$$
P=\frac{g h^2}{u^3}
$$
where $g$ is a constant. If the percentage uncertainties in $h$ and $u$ are $a$ and $b$ respectively, what is the percentage uncertainty in $P ?$

Correct Answer:     Click here for detailed solution
Mark Problem
31#
 
Single-Choice ( 1.0 marks) (No. in Group 21/29) Whole-Paper View Save Problem  
  An experiment used to measure the acceleration due to gravity produces the fot+ paapfur.wibs0:9fb 9ez7 c8n:o7 jllowinopf j.9:zbai8r wte+bc7u 07ns:p fa 9g 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 $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

Correct Answer:     Click here for detailed solution
Mark Problem
32#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 22/29) Whole-Paper View Save Problem  
  A rectangle was drawn using a ruler0n.soimb n; 3/i9aem l, such that each measurement has an uncertainty 3omma9i ebln/ni0;. s 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 $\mathrm{cm}^2$ ?    $cm^2$ (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:     Click here for detailed solution
Mark Problem
33#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 23/29) Whole-Paper View Save Problem  
  For an object of mass z5 bo3bw/ (uyt$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.6 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

Correct Answer:     Click here for detailed solution
Mark Problem
34#
 
Single-Choice ( 1.0 marks) (No. in Group 24/29) Whole-Paper View Save Problem  
  An ammeter has a non-negligible zero offset error. Which k *8ebgzhm8z-of the following statementk8he *mb-z8g zs is correct?

Correct Answer:     Click here for detailed solution
Mark Problem
35#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 25/29) Whole-Paper View Save Problem  
  A student measures a length five times. All of the measurbsdenb 5,n ((f-vmy /kements 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    $cm$ (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:    
Mark Problem
36#
 
Single-Choice ( 1.0 marks) (No. in Group 26/29) Whole-Paper View Save Problem  
  A piece of string 9.5 ± 0.5 cm long is cut from a longer piece that ip: ;ym7. mbn)v. whf0eqnrl3d s 12.6 ± 0.2 cmqyb.rml vnf ;pwm d0)n.h3:7e long. How long is the remaining piece of string?

Correct Answer:     Click here for detailed solution
Mark Problem
37#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 27/29) Whole-Paper View Save Problem  
  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 $\pm 5 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:    
Mark Problem
38#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 28/29) Whole-Paper View Save Problem  
  A force of 10.0 ± 1.3 N is applied to a mass of 2.0 ± 043ogw fy.a f9 qutl2 -f(,k2v unhae i(0qqxb5.15 kg, causing it to accel02 -yi9f qq(3wueu5, a lh2 fbxn4aq.vfo(ktg erate. What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

Correct Answer:     Click here for detailed solution
Mark Problem
39#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 29/29) Whole-Paper View Save Problem  
  The radius of a circle of wire is measured to be 10uyp(s a9.w rw2p6kkka8h ;la: .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) %

Correct Answer:     Click here for detailed solution
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