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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 ofzw55xdp csa:: 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 r;eohcfxc ,-, he;oyhkn 376 l.y;ejn of ten is the height of a human larger than the heighc;7. ol h; -rxejn6ey;nckohyh,f,3 et of a grain of sand?

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 ofz;4o k* c1otrxu .q;bq $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

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 fundamenthdfcv2/;(pb-k;ceo dg02l 0pki 3 fpbal 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 Earthdi xl.2uv1 p z9gni,:.sa*lbopg 6rs7 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 oz+ledd.m de g)d3 jb7mhr*w2.f magnitude, the number of heartbeats of an avergewd.*m.bh7lj2zr d e)3m + ddage 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 fundamental unit and one derived r cp2dzc*3c(/rezb t2 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 ca+que885w oz rxkn,mc 0lculation will give the answer with the most decimaounqz mr x+ 0wc,e885kl 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 of 10g. What is the order of mfl(kl ra27nts 7 (x/yqagnitude of 7y7s( 2nk(tqxarf/ll the ratio between 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 $82.9 \pm 0.5$ meters in $7.781 \pm 0.05$ 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 sidudgz.uzr -v+ j fy c/ gg;m5wy*g42 zpmb5cf45es of $2.49 \mathrm{~m}$. 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:    

Mark Problem
13#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 3/29) Whole-Paper View Save Problem  
  A pyramid has a square ba ot,7 *3tcu 2nsv 1yjedn:t/rxse 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 $7.8 \%$ 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 metre rule that is graduatyy6:,j nm slnf)f8h+ med in millimetres, as shown below. 6:n+ hnlyfsj)8 fmmy,

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 $5.2 \% $ uncertainty in $V$ and a $1.7 \%$ 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 ballrp 9* egn kuc-m n/cj76ebw1i)oon is measured to be $23.6 \pm 0.5 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $5.7 \%$, 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 roo*c8ze r:g9;3vo maz bam are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 7 \%$. 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 differea bq2i2v 72xjsvc9dsm7 heg.5nce ($V$) across a resistor is measured with a digital voltmeter to be $0.44 \; V$ . 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 measure1 a rlyoa2 xwpknb 7as8x);k*m. 0+lxpments of the same quantity which of the following can bexkp.l78w2 oaas xy;p rx)*bn0m1kla+ 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 dist )i9:a5mcqs qhance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the m5iahcs qq:9) 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 lenp nnq40l-uf4g8uq 8 f-z,wd ongths 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,vwu 8 2l;95u9n)af5t-uwgza ghwgu z ; 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?

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 that yf 2blpt8 na6,P should vary b t8pf,lnay62 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 showca,sj gr3f/du/t 1*8 / tm)se.xokbv wn below) ,8 3fmb ov/1atdkusws t. *ec//jxrg.

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 independe/ yui(287p;lkw 4 ectqet6mbpntly measured. The graph is a plot of weight versus mamk 2(ti ;7cp b8t6qywp4lu/eess 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 rd cg8-b*ec s,sectangular plate are measured, and the diagram shows 8,cs -g bs*cedthe measured 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

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 percentiau/k h c.6u6vly- 7orage uncertainty of 3%. The radius of the sphere is 1.8 ± 0.1 cm. What - .crl vukah7o6iu/6yis 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 th 6vvj(n 8;e,:i- mzranm +iowzat:
$$
P=\frac{g h^2}{u^3}
$$
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 fx;q*yyg1b dt kg0hizrf90)si1:pv -p ollow0 yhpz)tgg*rx1yi 9vki:q1- 0d;bpsfing 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 ruler, such that e-a)gfc9.ygf(x6hja yt e x9 d nxut)*/ach measurement has an uncertainty ofne f*tgy( juda)xh6x9f )/.x9gty-ca $0.5 \mathrm{~cm} .$

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 2pngz1; +ylx7w qym.zdb 3 njuc 44(c.wkf7jg$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.1 \%$ 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 of the follo7c/d ac,sa6t xwing statements is cot/6c s,caxad7rrect?

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 ti mo-kmzxd3m7yxa* k* +gzo4a8mes. 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:    

Mark Problem
36#
 
Single-Choice ( 1.0 marks) (No. in Group 26/29) Whole-Paper View Save Problem  
  A piece of string 9.5 ± 0.1 cm long is cut from a longer piece that is 12.6 ±mjj8q,1ts+my ls/s eqbx(r(b 9y y.7 n 0.7 cm long. How long is the remaining piece of string ,79sm e/sj t1rqm y.q8(yjx +(nybsbl?

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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 8 \%$. 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 ± 1.2 N is applied to a mass of 2.0 ± 0.11 kkv1bxrxt7g dddk q na )0dv-axl64*14g, causing it to accelerate. What is the percentage uncertainty of its ac01*)dta 7xxkdrd6nkgb ladx4 v1q 4v-celeration?  (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 ± 0.5 7 j3d5rpy vw8 ao2u(ppcm.
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

Total:39 mks Pass:23.4 mks Duration:Unlimited
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