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PRACTICE：Kognity IB Physics A.0 Measurements & Uncertainty
本Practice来源于https://webassign.org，是在线Practice的打印版，您也可以访问本平台网站(https://webassign.org/)直接在线完成(注册并登录账号后在首页左侧输入试卷号 564 即可在线作答)，，作答电子化后可随时回放，查看每题答案与详细解析，搜藏保存任意题目；教师使用本平台可以抽题组卷或一键复制他人试卷，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。本试卷的直接作答链接 https://webassign.org/test564.html
 Author: admin    Total Marks: 39 mks  Marks Awarded: _____________

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 coul9hk-g mp/r3k sd be 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 a human dd( c5ey., -xynfg ax8larger than the height of a grain of sag8c5nx a.x,y( dfdye-nd?

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 iwxkq2j:- 4 zv$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

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 unit in xyv lkal b+6nm1./rpd y,wa5/ 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 Earth is approximattriz.irhmttzg - i:/jcw**;3y*ee9 kely $10^{12} \mathrm{~km}^3$ 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:    
本Practice全部题目来源于https://webassign.org，学生可自助刷题练习，扫右侧二维码加微信，获取学习资料，答疑辅导
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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 hk8te/ , zln4lx4t cs3yeartbeats of an average adult4st ky/, c8l3lxzne4t 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 one f kt2p*ffo.9 k5rlzza62.op pzundamental 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 calculation will give the answer wx2 jy aepd4,+cith the most decimaxp ,ec4+jday2 l 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 mousendh92le kaouw3-a7 d w4z(w2d has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of9nk2d4de- 3uhaao7wlz (wwd 2 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 $50.7 \pm 0.5$ meters in $4.952 \pm 0.07$ 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 shap) ggin eok1m4,e of a cube with sides of $4.19 \mathrm{~m}$. Each side is measured with an uncertainty of $0.9 \%$. 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 ofdpqi6ftx - 6ocuv 2;r- 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 $6.5 \%$ and $h$ is measured to $1 \%$, 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 measure g* ua;34plszvd using part of a metre rule that is graduated in millimetres, assz;v 3u*p4la g 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 $4.3 \% $ uncertainty in $V$ and a $2.2 \%$ 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 is measured to .8wswl tu(l8 ibe $11.6 \pm 0.6 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $5.6 \%$, 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
本Practice全部题目来源于https://webassign.org，学生可自助刷题练习，扫右侧二维码加微信，获取学习资料，答疑辅导
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Mark Problem
18#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 8/29) Whole-Paper View Save Problem  
  The lengths of the sidesc(xxo 6, tmfb* of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 1 \%$. 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 difference (l8 ,e jn**;t ot3b8bz 9k ,dhkaxqwy1qs0o4sl$V$) across a resistor is measured with a digital voltmeter to be $0.69 \; V$ . 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 zj /j/)km;cxuwhich of the following can be redz/ujj ;)/ xcmkuced?

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 foubk9yf/ mrk8a) te/zl(r times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. W lf(myb e8z9k)// rakthat 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 let+:bwk uru q32ngths 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 mear,nh /cm1.1hax j6maosured 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 quantity Q varies is plotted. Theory states hjf2mo)f,lyyx uld 8 -owf a.j,+e* k/that P should vary lineaj,d )l .,jl8hyxma u2+*foo /-kefw yfrly 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 meu956x( 7w johcxg wv/masured using part of a measuring tape as shown below.gm(u/7wxj 6xc5hv 9w o

What is the length of the pencil?

Correct Answer:     Click here for detailed solution
本Practice全部题目来源于https://webassign.org，学生可自助刷题练习，扫右侧二维码加微信，获取学习资料，答疑辅导
教师可以抽题组卷或一键复制他人试卷，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
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 measeb+y gi.jgksx o;)*: rured. The graph is ao):r g;bi.ygj+e k*xs plot of weight versus mass 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 rectangular plate are measured, andohplb.1.yzr.u: ho4v (v *(kfpgpwq6 the diagram shows the measured values with their hq1 f.(pp.4uow:6 py g(b.klv h ozr*vuncertainties.

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 is measured with percentage uncertainty opmt0ln nt5)j,vxe(8 fba(tc (f 1%. The radius of the sphere is 4.8 ± 0.2 cm. What is the percentage uncertainty in thp(jtn(tcnba tle) 8x0vm ,(5f e mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

Correct Answer:     Click here for detailed solution
本Practice全部题目来源于https://webassign.org，学生可自助刷题练习，扫右侧二维码加微信，获取学习资料，答疑辅导
教师可以抽题组卷或一键复制他人试卷，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
30#
 
Single-Choice ( 1.0 marks) (No. in Group 20/29) Whole-Paper View Save Problem  
  Experimental data has shown / m qe4cy2sgat8qlo55va w x 3fcn382cthat:
$$
P=\frac{g h^2}{u^3}
$$
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 accelert demcv71jr7 wt-ro5 h0 (wkywl- h31xation due to gravity produces the following vm01we7tl-kh5r( jhrw-wxcod y71t 3results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 a3ut3yayky z.:q1cp t3 ruler, such that each measurement has an uncertainty o.qkp au31y yyt3:3zt cf $0.5 \mathrm{~cm} .$

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 masuv ; zrqdjh3ch 3l)17zs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.7 \%$ 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 ofqnnp8wfgg kv8;34 q g9fset error. Which of the following statements is correct;g34v9npkg8wfqg8 qn ?

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:5c +5th6-x jxwwv7 ) kehcetp times. 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    $cm$ (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:    
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教师可以抽题组卷或一键复制他人试卷，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
36#
 
Single-Choice ( 1.0 marks) (No. in Group 26/29) Whole-Paper View Save Problem  
  A piece of string 9.5 ± 0.2 cm long is cut from a longer piece that is 1 d bp eygs;v1.4znk/.z2.6 ± 0.5 cm lon.zk sevnby.zp 1dg4;/g. 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 $\pm 3 \%$. 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 tohwu s(y pf1 k;0u9tm(n a mass of 2.0 ± 0.12 kg, causing it to accelerate. What is the percentage uncertainty of its accelerationu(u; mh 0ysnw1t k(9pf?  (数值) % (do not include the percent sign in your result)

Correct Answer:     Click here for detailed solution
本Practice全部题目来源于https://webassign.org，学生可自助刷题练习，扫右侧二维码加微信，获取学习资料，答疑辅导
教师可以抽题组卷或一键复制他人试卷，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
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 ±y -pz8 ziq2k7 lqyug;3 1.4 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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