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PRACTICE：Kognity IB Physics A.0 Measurements & Uncertainty
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 Author: admin    Total: 39 Marks  Marks Earned: _____________

User Name: No Login  Start Time: 24年08月21日 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 bes 1 w4lofvu*2h a unit of power?

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 -4kbcbob 0,v jj*n c2pa human larger than the height of a grain of san *kcb-4,0npvcjbbo2j d?

Correct Answer:     Click here for detailed solution
Mark Problem
3#
 
Single-Choice ( 1.0 marks) (No. in Group 3/10) Whole-Paper View Save Problem  
  What is the value of .svc.p yg1c mrgjv0.3$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

Correct Answer:    
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Mark Problem
4#
 
Single-Choice ( 1.0 marks) (No. in Group 4/10) Whole-Paper View Save Problem  
  Which of the followin7n/5 ,9h ce j1iskhjzxg is a fundamental unit in the SI system?

Correct Answer:     Click here for detailed solution
Mark Problem
5#
 
Single-Choice ( 1.0 marks) (No. in Group 5/10) Whole-Paper View Save Problem  
  The volume of the Ea,eo5y rrnfh (8rth is approximately $10^{12} \mathrm{~km}^3$ 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 nearest order of magnitude, the number of heartb)(luzlxow. y7 k4endgx:m5v l ky;3x:eats of an average adult human in a d)g 4x u75n w:x (zx v.ly:km;eylkdlo3ay.

Correct Answer:    
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Mark Problem
8#
 
Single-Choice ( 1.0 marks) (No. in Group 8/10) Whole-Paper View Save Problem  
  Which of the following contains one fundamental unit and one derived unit?gql j4i d/alz/t9s/)s

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 calculation will give the answer with to 2l1uh6xi( 2d94jfw td;0pejwcw:n phe most decimalu(i d1 j4xo d t e9p2jl6:0;h2wfcwwnp places?

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 o;eudj3c4o g0) -js,-snly ogif 10g. What is the order of magnitudeuj le o, 4g0;s-n y3)gjco-dis of the ratio between the mass of the car to that of the mouse?

Correct Answer:     Click here for detailed solution
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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 $73.3 \pm 0.3$ meters in $6.119 \pm 0.04$ 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 with sides w6d7g md df0108gnany of $4.39 \mathrm{~m}$. Each side is measured with an uncertainty of $0.5 \%$. 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:    
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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 ofc, aq c sn06.q5+ cqo)acpr1-ax,cwxg 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 $5.7 \%$ and $h$ is measured to $5 \%$, 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 mesve26nq.vl4 l tre rule that is graduated in millimetr 2ln4.vqvse l6es, 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 $6.3 \% $ uncertainty in $V$ and a $1.6 \%$ 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
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Mark Problem
16#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 6/29) Whole-Paper View Save Problem  
  The radius of a balloon ink*v vudfabm 11:4p *ss measured to be $12.6 \pm 0.5 \; cm$. 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 $1.7 \%$ and the uncertainty in $l$ is $6.1 \%$, 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 s,ea1cbowro (* x7ot(bides of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. 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 differel 4xve/jh: s/wnce ($V$) across a resistor is measured with a digital voltmeter to be $0.25 \; V$ . 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 whic-za)oyr:ux n l* .9vkmh of the following can be reducedz:lu9nm kvx-a).r y*o?

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 are 37.8 cm, 37/7e m)5xsn2wn4 jurme .9 cm, 38.1 cm, 38.2 cm. What is the best estwj /s nmem)2 7urx54neimate of this measurement?

Correct Answer:     Click here for detailed solution
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Mark Problem
22#
 
Single-Choice ( 1.0 marks) (No. in Group 12/29) Whole-Paper View Save Problem  
  A student measures two l;5cjc 24ztuul*d52 a wo3 nkxa 0hypt8engths as follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
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 m8r5bci + n( tn*bfsxu9v1 nse1easured 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?

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 quanscdeh ;f jxn35k 8w5vzn2,.f wtity Q varies is plotted. Theory states that P shouhn8jvf2.sk 5 3z;fe x nwdwc,5ld vary 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 tape as shyjt0h*u mv2 zg,2 x,yoown below,xuy2 *hzg2,o tj m0vy.

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 diffeg7 9nn u mj7au0bi/oa;rent objects are independently measured. The graph is a plot of weight mogu ;ij n 9ban707/uaversus mass that includes error bars.

What do these experimental results suggest?

Correct Answer:     Click here for detailed solution
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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 rectangular plate are mc /; 9/fkedh5ilgal8 neasured, and the diagram shows the measured values with their uic le8haf59/;g n/dlk ncertainties.

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
本Practice题目来源于https://webassign.org，学生可刷题练习，扫右侧二维码或加微信xxxxxxxxxx，获取更多资料
教师可以抽题组卷或一键复制本试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力
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 is measured with percentage u 5s yyy35q; rjlslovq -p*s(4oncertainty of 6%. The radius of the sphere is 2.1 ± 0.4 cm. What is the percl rq*q(5yyp;s3j- 4o lovssy 5entage uncertainty 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 shb vnaiyp/;t; 2own that:
$$
P=\frac{g h^2}{u^3}
$$
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 sugcp5+ uzzgxw72 0h;acceleration due to gravity produces the followig5s;u+gch p0xw z7zu2 ng 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
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教师可以抽题组卷或一键复制本试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力
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 ruler, such that each measuremej:qh1s 6nbz l 8m7k3xcnt has an uncertainty c1n7qb68jz xs3:mlhk 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
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教师可以抽题组卷或一键复制本试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力
Mark Problem
33#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 23/29) Whole-Paper View Save Problem  
  For an object of mass *b;mjv1 m t2q 2tqsz:rd2o7je$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.6 \%$ 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-negligibneph8t9 lr eju6rw.7nx03.awle zero offset error. Which of the following statements.nnr89 u hj w.xew7l3ptr60ea is correct?

Correct Answer:     Click here for detailed solution
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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 measurements tx 6 mvubvr5k,*hvo+ u hf i6yx62d5p2lie 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 ± 0.3 cm long is cut from a longer piece that is 12.6 ±lc ;k,7imis(p 0.1 cm long. How long is the remaining piece of s;km7is i(c,l ptring?

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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 2 \%$. 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 ± 1.4 N is applied to a mass of 2.0aztk )l0l) im94tqg 0orf2o 8g ± 0.20 kg, causing it to accelerate. What is the percentage uncertainty of its acceo4a qgof02gkzr) m08tt9 ill) leration?  (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 10.0 ± 1.9 c7a;j8dbos:wj8g9+ g mxjo+uo)sd s t;m.
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
本Practice题目来源于https://webassign.org，学生可刷题练习，扫右侧二维码或加微信xxxxxxxxxx，获取更多资料
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