# Measurement Errors worksheet

Physics Measurement Errors worksheet.

You can find MCQ (Multiple choice questions) related to Measurement errors in Physics in this page.

You can check yourself by choosing a best answer among the given alternatives.

The correct answer for the questions is given at the bottom of the page.

Physics Measurement Errors worksheet:

1> The size of hydrogen is in the order of:

a> 10 -14 m

b> 10 -10 m

c>10 -19 m

d>10 -24/ m

2>The size of nucleus of an atom is of the order of:

a>10 -14 m

b>10 -10 m

c>10 -15 m

d> 10 -24 m

3> The ratio of nucleus to the volume os the atom is of the order of :

a>10 10 m

b>10 -10 m

c>10 -12 m

d> 10 -18 m

4>The radius of earth is of the order of:

a>10 10 m

b>10 7 m

c>10 15 m

d>10 19 m

5>The nucleus of an atom has a diameter 1/10000 times that of atomic diameter, then if density of ordinary matter is 10 3 kg/m 3 , the density of nuclear matter is of the order of:

a> 10 3 kg/m 3

b> 10 7 kg/m 3

c> 10 15 kg/m 3

d> 10 -15 kg/m 3

6> The diameter of red blood corpuscles is of the order of:

a>10 -3 m

b>10 -5 m

c>10 -7 m

d>10 -9 m

7> The time takes by sunlight to travel from sun to earth is of the order of:

a>1 s

b>10 -1 s

c>10 s

d>10 3 s

8>The time taken by sunlight to cross a window plane of 3mm thickness is:

a >10 -8 s

b>10 -11 s

c>10 -15 s

d>10 0 s

9>The number of significant figures in 0.314*10 ssuupp 4 /ssuupp m is:

a> 2

b> 3

c> 4

d> 6

10> The number of significant figures in 100 vibrations of a simple pendulum is:

a> 1

b>2

c> 3

d> No significant figures involved.

11> Of the following observations the most accurate is:

a> 4*10 3 kg

b>4.0*10 3 kg

c>4.0*10 2 kg

d>4.0000*10 3 kg

12> The value 0f 9.99m+0.069m according to idea of significant figures is:

a>10.059 m

b>10.0 m

c> 10.06 m

d> 10.05 m

13>The value of 9.99 m – 0.069 m according to idea of significant figure is :

a> 9.92 m

b> 9.921 m

c>9.91 m

d> 9.9

14> The volume of a sphere is 2.25 m 3 the volume of 50 such spheres according idea of significant figure is:

a> 112.50 m 3

b> 112.5 m 3

c> 112 m 3

d> 11*10 1 m 3

15> The random error can be eliminated by:

a>careful observation

b> Eliminating the cause of error

c> Taking arithmetic mean of a large of number of observations.

d> Measuring the quantity with more than one device.

16> The zero error of a vernier calipers is:

a> Constant error

b> Systematic error

c> Random error

d> Gross error

17> A student performs an experiment of a simple pendulum and measures time for 10 vibrations. If he measure the time for a 100 vibration the error in the measurement of time period will be reduced by a factor of:

a> 10

b>90

c>100

d>1000

18> A student performs an experiment and repeats the experiment 5 times. If he repeats the experiment 20 times , The error in the measurement will be reduced by a factor of:

a> 0

b> 4

c> 2

d> 16

19>The least count of an instrument is 0.01 cm taking all the precautions , The most probable error in the measurement can be:

a> 0.0005 cm

b> 0.01 cm

c> 0.05 cm

d> 0.02 cm

20>The length of a rod is (8.00 +- 0.5)cm. When two such rods are connected end to end ; The length of the combination may be correctly expressed as:

a> (16.00 +- 0.05) cm

b> (16.00 +- 0.00) cm

c> (16.00 +- 0.10) cm

d> 16.1 cm

21> The length of a rod is (8.00 +- 0.05) cm when two such rods are placed parallel to each other with one end coinciding, The difference between their other ends may be most correctly expressed as:

a> 0.00 +- 0.00

b> 0.00 +- 0.05

c> 0.00 +- 0.25

d> 0.00 +- 0.10

22> The time taken by a pendulum to complete 25 vibrations is 88.0 seconds then the time period of the pendulum up to proper significant figures is:

a>3.520 s

b> 3.52 s

c> 3.5 s

d> 4 s

23> Out of the following observed readings , the one which is most precise is:

a> 2025 gm

b> 202.5 * 10 1 gm

c> 20.25 * 10 gm

d> 2.025 * 10 gm

24> if y=a.b , the maximum percentage error in the measurement of “y” will be:

a> $\left(\dfrac{\Delta a}{a}\times 100 \% \right) \div \left(\dfrac{\Delta b}{b} \times 100\ \%\right)$

b> $\left(\dfrac{\Delta a}{a}\times 100 \%\right) \times \left(\dfrac{\Delta b}{b} \times 100 \%\right)$

c> $\left(\dfrac{\Delta a}{a}+ \dfrac{\Delta b}{b}\right) \times 100\%$

d>$\left(\dfrac{\Delta a}{a}- \dfrac{\Delta b}{b}\right) \times 100\%$

25> if y=a/b , the maximum percentage error in measurement of “y” will be:

a> $\left(\dfrac{\Delta a}{a}\times 100 \% \right) \div \left(\dfrac{\Delta b}{b} \times 100 \%\right)$

b> $\left(\dfrac{\Delta a}{a}\times 100 \%\right) \times \left(\dfrac{\Delta b}{b} \times 100 \%\right)$

c> $\left(\dfrac{\Delta a}{a}+\dfrac{\Delta b}{b}\right) \times 100\%$

d>$\left(\dfrac{\Delta a}{a}- \dfrac{\Delta b}{b}\right) \times 100\%$

26> if y=a+b the maximum percentage error in the measurement of y will be:

a> $\left(\dfrac{\Delta a}{a} + \dfrac{\Delta b}{b}\right) \times 100 \%$

b>$\left(\dfrac{\Delta a}{a} - \dfrac{\Delta b}{b}\right) \times 100 \%$

c>$\left(\dfrac{\Delta a}{a+b}+\dfrac{\Delta b}{a+b}\right) \times 100\%$

d>$\left(\dfrac{\Delta a}{a+b}-\dfrac{\Delta b}{a+b}\right) \times 100\%$

27> If y=a-b , The maximum percentage error in the measurement of y will be:

a> $\left(\dfrac{\Delta a}{a} + \dfrac{\Delta b}{b}\right) \times 100 \%$

b>$\left(\dfrac{\Delta a}{a} - \dfrac{\Delta b}{b}\right) \times 100 \%$

c>$\left(\dfrac{\Delta a}{a-b}+\dfrac{\Delta b}{a-b}\right) \times 100\%$

d>$\left(\dfrac{\Delta a}{a-b}-\dfrac{\Delta b}{a-b}\right) \times 100\%$

28> If y=a n , The maximum percentage error in measurement of y is:

a>$n \%$

b> $n \dfrac{\Delta a}{a} \times 100 \%$

c>$\left(\dfrac{\Delta a}{a}\right)^n \times 100 \%$

d> $\dfrac{1}{n}\left(\dfrac{\Delta a}{a}\right) \times 100 \%$

29> If a physical quantity x is represented as x=M a L b T c , And the maximum percentage error in measurement in M L T are x y and z % respectively , The total percentage error in X is:

a> (xa+yb-zc)%

b>(xa+yb+zc)%

c> (xa-yb-zc)%

d> (x+y+z)%

30> The error in the measurement of the radius of a sphere is 1%, then the error in the measurement of it’s volume is:
a> 1%

b> 3%

c> 4 pi %

d> 4/3 pi %

31> The error in the measurement of the radius of a sphere is 0.3% , what is percentage error in measurement of it’s surface area?

a> 0.3%

b> 0.6%

c> 0.9%

d> 4/3 pi (0.3) ^2 %

32> The measured mass and volume of a body are 22.42 gm and 4.7 cm^3 , with possible errors 0.01 gm and 0.1cm^3 , the maximum error in density is about:

a> 0.2%

b> 2%

c> 5%

d> 10%

33> The length , breadth and thickness of a block is measured 50 cm , 2.0 cm and 1.0 cm. If accuracy in measurement of length is +-1 cm in breadth is +-0.1 cm and thickness is +-0.001 cm , Then what is the percentage error in the measurement of volume:

a> 8%

b> 0.8%

c> 10%

d> 12.25%

34> The least count of a stop watch is 0.5 sec, the time of 40 oscillations of a pendulum is measured to be 50 s. What is the maximum error in that measurement?

a> 1 %

b> 2.5%

c> 0.25%

d> 10%

35> The density of a material of a cube is calculated by measuring it’s mass and a side. What is the maximum percentage error in the density if the errors in measurement of a side and mass are 2%nand 5% respectively?

a> 13%

b> 11%

c> 7%

d> 3%

36> The heat generated in a circuit is given by Q=i^2Rt Joule , where i is current , R is resistance and t is time , If the percentage errors in measuring i , R and t are 3%, 2% and 1% respectively. The maximum error in measuring heat will be:

a> 9%

b> 12%

c> 6%

d> 18%

37> While measuring the acceleration due to gravity by a simple pendulum , a student makes a positive error of 1% in length of the pendulum and a negative error of 3% in the value of time period. The percentage error in the measurement of g by the relation g=4pi^2(l/t^2) will be:

a> 2%

b>4%

c>7%

d>10%

38> The percentage error in the measurement of mass and speed are 2% and 3% respectively ,. How much will be the maximum error in the estimation of kinetic energy ( 1/2 mv^2) obtained by measuring mass and speed?

a>11 %

b> 8%

c>5%

d>4%

39> An experiment measured quantities of a,b,c and X is calculated from the formula X= ab^2/c^3 . The percentage error in a,b,c are +-1% , +-3% , +-2% respectively. The percentage error in X can be:

a> +-13%

b>+-7%

c>+-4%

d>+-1%

40> The relative density of a material is found to by weighting it first in air and then in water by using formula:

relative density= weight in air/(weight in air – weight in water)

If the weight in air is 10.0+-0.1 gm and weight in water is 5.0+-0.1 gm then the maximum permissible percentage error in relative density is:

a> 1%

b>2%

c>3%

d>5%

1>b     2>a     3>c     4>b     5>c     6>b     7>d      8>b       9>b      10>d      11>d

12>c      13>a      14>c      15>c      16>b      17>a      18>c      19>b      20>c      21>d

22>b      23>d      24>c      25>c      26>c      27>c      28>b      29>b      30>b      31>b

32>b      33>a      34>a      35>b       36>a      37>c      38>b      39>a      40>d

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