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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 urpss1 *yau7 0h4q/ewu nit 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 p;f3ya.hymfeux 0ta4 ( owers of ten is the height of a human larger than the heixa. ye(mt4f ;0 haf3yught 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 ofc0g9l ,og2np*hff:nu $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

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 the SI syste;xdwpfmv4( 0km xx pau)z:a1 y;zb( 0uc0n3eom?

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 approximatemt+m lr-kk;x x*(6 qrw31i xmpo xn-)tly $10^{12} \mathrm{~km}^3$ 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 magnitanf9d a3x( q2rude, the number of heartbeats of an averageqa3f2(dra 9nx 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 derive1 vl5(i* dw64; cdu 0/trt w6efstbmpnd 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 wiz 8,up ,erin3q-st(wyll give the answer with the most decimal places? (-ywent3 i r,8uqzps,

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 .gfv/prse/i5n 0cgz9 u m4lk. is the order of magnitude of the n./r4ck 0fli/e5g.pz ug 9msvratio 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 $46.2 \pm 0.3$ meters in $10.759 \pm 0.04$ 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/ l.p s4*y6lktuifc( 5tbo,eq of a cube with sides of $4.30 \mathrm{~m}$. Each side is measured with an uncertainty of $0.4 \%$. 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 bass t4p;r 8-bytne 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 $8.6 \%$ 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 met)r r cb 1j7k9o-afr)bwre rule that is graduated in millimetres, aobrw)9kr rj -b1f7a)c s 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 $6.0 \% $ uncertainty in $V$ and a $3.4 \%$ 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 isk 7ahby.ld-.p measured to be $19.0 \pm 1.3 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $3.9 \%$, 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 room are edpkj 86 vy98gastk )c,stimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 ycdpjj2f/j/ 7($V$) across a resistor is measured with a digital voltmeter to be $0.11 \; V$ . 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 sameo+q /u-rmwlj:hs h --cg5wlx0kn .sv4 quantity which of the following can be rgswkv 4h-j: wruc./n5l o+mhx-l q-s0educed?

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 z vfx 6(9b0mlccm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuremen(6xml9f zcv0bt?

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 uru 8.: (dmce sjfl,+h mhyn*9lengths 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 +) pqsf odu;7il )vrwk(dr +,mand 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 plottedc7ut: )tp xl3dc/k/qq. Theory states that P should v7:d/3p l ktq qcuc)tx/ary 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 shown belowds 5j05xy:ffy8fz5a eylb+ i;.5:sy+fa fdf yl5y805zeb j xi;

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 ah5 n9s3ac16j d-iwm odxxz 7/measured. The graph is a plot of weight versus m xhwd5msc3/ 6-az j1iao79ndx ass 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 plateid on5e-k) ;2j4kghnu are measured, and the diagram shows the measured values with th ejnk-2i on5g ;udk)4heir 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 percentagpmh3 0k8k 3mow7s pzw8e uncertainty of 3%. The radius of p388w7kp zo30 m hkwsmthe sphere is 5.1 ± 0.2 cm. 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 than*:e1jto l q5w 50ynwct:
$$
P=\frac{g h^2}{u^3}
$$
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 (+;gqf4jekb: :f7ov cm5hmrx the acceleration due to gravity produces the following resurbc+ exm4:fgq(7m ;f5h:vk jo lts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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, sv/,3rp9 - sosnugm2he .zb 9cduch that each measurement has an uncertainty of,ov. 2 m spb-csde z3/rghu9n9 $0.5 \mathrm{~cm} .$

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 masftdw;1 wpm) 1ms $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.0 \%$ 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 of the following statxsd:ur9.oim 0,qh.z/e m 7wlla5 /gpdvs(gh 8ements is correcsp/ 0: miwxval q z9l.. hsgmeou gr/5h7(d8d,t?

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 times. All of the measurements li(dqka5 bcqr:1h9 o,xoi f b*(le 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 ± 0.4 cm long is cut from a longh(x/w60 j o8 was2pfl rr5n-pcer piece that is 12.6 ± 0.4 cmswf26 pl8 -rh5pjrcn(o /0axw long. 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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 7 \%$. 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 ± 0.2 N is applied to a mass of 2.0 ± t6,vqk+ncwz3 0.20 kg, causing it to accelerate. What is the percentage uncertainty of c,q6wn 3zkt+ vits 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 nhgvzt14e4 vb 0+jw5wof wire is measured to be 10.0 ± 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

Total:39 mks Pass:23.4 mks Duration:Unlimited
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