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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 a uni4rqd/.md2 w pzt 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 largm4b4 26 z5s1 q(tjxnovpl6i ax c.fnl5er than the height of (xac.4jms l xn5fb562n4 to61 vizlq pa 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 ofsgpp3ad wu+w)/b /8p s $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

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 thevi//cci5w uuedv hfs 76:j i7tz(m j*/ 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/8fiq0 c6cvm wrth 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 ma5uu-xs:lsp*w,z wa1 bje+) vrgnitude, the number of heartbeats of an average adult hr ess lb1+:)u,-v paxwjuzw*5uman 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 y yp. rhf,acg.6pkh /xt 8l:f2one 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 calculation will give the answer with the most decit6s7pt58g *lzli(km zmal plakipl6(8*t 75g tms zzlces?

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 orb 03vtpd e9s(fder of magni(bt p fvs0d3e9tude of 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 $53.9 \pm 0.2$ meters in $10.019 \pm 0.07$ 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 shape ri7e )fppe)r0hxo; c:fl *do/of a cube with sides of $4.08 \mathrm{~m}$. 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 squar y9+fs dz-aey6e base 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 $9.3 \%$ 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 pencil is c ;s bb-bq/5:ro7bmghmeasured using part of a metre rule that is graduated in millmgbb -rsb ch ;7/b:q5oimetres, 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 $4.4 \% $ uncertainty in $V$ and a $2.8 \%$ 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) bnj ) stfd2fye:8;gf to be $22.8 \pm 1.6 \; cm$. 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 $1.0 \%$ and the uncertainty in $l$ is $2.6 \%$, 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

Mark Problem
18#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 8/29) Whole-Paper View Save Problem  
  The lengths of the sides oob1x bwv( ,q/j9egzk ;f a room 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 differe3he+vzf1u t,c nce ($V$) across a resistor is measured with a digital voltmeter to be $0.53 \; V$ . 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 quan:/odvgtii49 m tity which of the following can be oi /giv4td:9 mreduced?

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 ; b9fza lnr5 4e6t2vnncm, 37.9 cm, 38.1 cm, 38.2 cm. What is tna; 5lvnzf6n2 94 rtebhe 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 l lm /bg:au1cx5engths 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 merwoq v078v nmgw.f .71tsjkx /asured 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 quanti,h(hn avk xk(g; 3dkbik74gf 2 hwv,j.ty P as quantity Q varies is plotted. Theory states that P should vary linea;vd( ( kn4,gh. ,jkkbakxh27g hwif3vrly 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 tap*iq- r( l*i avf2u)xpie as shown belowr) p 2-av*xqi*(ifuli.

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 measur4dpuf9;a i/-62 a/ioicpcfags1 zx 9ced. The graph is a plot of weight versus mass that if z-c/cg4 xda9p /a pis;i 6afc2o9ui1ncludes 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 measure hki6 g;m+ q 8m)e)nxfw4vpsk1d, and the diagram shows the measured values with their uncertainties.6)8;+pkexmn w hfqg4i )1mks v

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 of 6%.d+i6e x) e0na6zzz, ve The radius of the sphere is 1.7 ± 0.3 cm. What is the percentage uncertainty in the mass of the sp,6d iexzzz6e0e)n+v ahere?  (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:x59gxy; cpqqj:t6z k)
$$
P=\frac{g h^2}{u^3}
$$
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 t+qewa0(3z yt3v.:o bp4 aotmz o measure the acceleration due to gravity produces the followimayaz t.+:e(p vztowq 343b o0ng 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 each mea zp6 ,odi/n)0lz1xh( q5itmtt joh d82surement has an uncertainx/(h6tjh to2 i)mo ndl1 0 ,zp8dit5zqty 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 yh,ltqwq*; haewp5-ir e4+,y $(2.0 \pm 0.1) \mathrm{kg}$, 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-negligible zero of(5e6yr4) gbf phmn,o(c r )e:dqbx5 sjfset error. Which of the following statements issc(e:hpyb)4m(d6 rjn5f x , qroe5)g b 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 fiv2d1 )nkajaqx lh 2/3yne 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:    

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 is 12.6 bb4*a6.6ycvd8vxn d d ± 0.2 cm long. How long is the remaini *vb.6 cdbd4 naxyvd68ng 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 $\pm 8 \%$. 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 ± 1.1 N is applied to an.,jyk wx47khx+1n7xp ma- jv,sw1mo mass of 2.0 ± 0.05 kg, causing it to accelerate. What is the percentage unc 7,pnv-hwy4xa 7mxwjxjs 1mk+ no,.1kertainty 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 10.0 ± 0.p6dahn0z t 2u-jsz;*q4 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

Total:39 mks Pass:23.4 mks Duration:Unlimited
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