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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 could be abrn h; pfkhb(ga +/bw1+1ps2a unit of power?

Correct Answer:     Click here for detailed solution
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Mark Problem
2#
 
Single-Choice ( 1.0 marks) (No. in Group 2/10) Whole-Paper View Save Problem  
  By approximately how many powers of:/ iamvifv(/ g ten is the height of a human larger than the height of a grain of saf ig/a(m/ :ivvnd?

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; 9hieb ieqo(( $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

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 following isdg- 6qofdq n0mx3gu8 ( 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 Earth is a) va2vtxl6z,r6d- abv pproximately $10^{12} \mathrm{~km}^3$ 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:    
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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 mun,405f9w/4 zu nld p.cdt1 yckpij6cagnitude, the number of heartbeats of an averapz4 lc1k9t nd6p.wf/ idncj5c04,y uuge adult 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 fund,r 5hmvh c-k4fims 5:uamental unit and one derived unit?

Correct Answer:     Click here for detailed solution
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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 the mom *vx7 i 4jo0hf)jji;qst decimalj 7hjifmqv xj40;o) i* 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 10 dn 7mthvnw(;bfo),3f00kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio betwf(dn t m, whovn3;b)f7een the mass of the 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 $60.4 \pm 0.5$ meters in $3.761 \pm 0.06$ 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.)

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 oua7w )y 4nt(m .o,cwtwf a cube with sides of $5.03 \mathrm{~m}$. Each side is measured with an uncertainty of $0.6 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Give your answer without a unit and to 2 significant figures)

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 basu-fj18nsc g9 uk+tw.se 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 $7.1 \%$ and $h$ is measured to $3 \%$, 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 penciln/*y(ssr3 u bw is measured using part of a metre rule that is graduated in millimetres, as shown beywr*/us 3(nbslow.

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 $5.1 \% $ uncertainty in $V$ and a $2.9 \%$ 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 +se7a6wh.:-jwdrok d to be $17.4 \pm 0.9 \; cm$. 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)

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 $1.1 \%$ and the uncertainty in $l$ is $5.8 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign and keep two significant figures)

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 esti9 -g:b8skopio3ejo 0cmated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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.)

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 differen4db2;n ldjlc ay e2c;(ce ($V$) across a resistor is measured with a digital voltmeter to be $0.79 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank and keep two significant figures.)

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 measuremenfog.p i-dj c:*z(hp(wts of the same quantity which of the following can be reduced?(c(zh pjo.- wf ig:d*p

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. Thqi n c7k4j;5jee readings are 37.8 cm, 37.9 cm, 38.1 cm, 745n c;ejqjik38.2 cm. 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 follo+) u*v7h2f;p nzmxzfows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
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 mea4; sfdwlos9wrnmv8+* ,p(azme)o;l g+3 kfht sured 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
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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 state,/n3.zfch cins that P should vary linearly with n cfcihn,z/3. 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 partk ;t+sh gu6x6u of a measuring tape as shown belowut 6k+6 xs;ghu.

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 are3h b/wk4h4p+svaup z: 3cd9 ve independently measured. The graph is a plot of weight versus mass that includv34v+ckd9pehs3 :ua h/zb4 w pes 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 rec3l9; r4roe -lwirm og/tangular plate are measured, and the diagram shows the measu3 mi o9rw lol/re-4g;rred values with their 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
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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 of5t6d1gpnpfs6v3k n 0qibg -t i+l m1s0 5%. The radius of the sphere is 2.3 ± 0.2 c5vl0s16bgd3 1tqi ft s+pn -ikgpmn6 0m. What is the percentage 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 shown thof 7 3etih)noz ur ut0f tz8mj1:*./gtat:
$$
P=\frac{g h^2}{u^3}
$$
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 produc3biovp6 j qv+k5gns4 3es the following results:p vq3ji4og+6skvnb 35
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 ruler, b 8;zn.;y shsrsuch that each measurement has an uncertaintys z;nbsr8. ;hy 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.)

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
33#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 23/29) Whole-Paper View Save Problem  
  For an object of mass 0o )kxsrizvyc1 e/:hz4n9:k9 und-dl$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $9.0 \%$ 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 pu 6v, o0n 2;fuos9nsvof the following statements is cuv;on n 0,sovfup 29s6orrect?

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 fiv qe j.8,xpch+9tcd6b4 mqrr3ae 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    $cm$ (Do not include the $\pm$ symbol nor the unit)

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,z3 6napth ay )ue+x7f ± 0.2 cm long is cut from a longer piece that is 12.6 ± 0.4 cm long. How t h7zapx+6uf,3)y nea 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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 7 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (Give your answer correct to two significant figures without the % sign.)

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 ± 1.6 N is applied to a mass of 2.0 ± 0.12 kg, caust6 fdq1fjcq*gfp 17: ying it to accelerate. What is the percentage un1fc1:fdty g*f7 6qjpqcertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

Correct Answer:     Click here for detailed solution
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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 to5awj2vh j79uw. vj hpu4 -8led be 10.0 ± 0.3 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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