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An experiment measures quantities $a, b$ and $c$ and $X$ is calculated from $X = \frac{a b^{2}}{c^{3}}$ If the percentage error in $a, b$ and $c$ are $\pm 1 %, \pm 3 %$ and $\pm 2 %$ respectively, the percentage error in $X$ will be-

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Important Questions on Measurement and Physics

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 1 - Measurement and Physics>EXERCISE>Q 29

If error in measurement of radius of a sphere is

1 %,

what will be the error in measurement volume?

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 1 - Measurement and Physics>EXERCISE>Q 30

A student measured the diameter of a wire using a screw gauge with least count

0.001 cm

and listed the measurements. The correct measurement is:

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 1 - Measurement and Physics>EXERCISE>Q 31

A physical quantity

ρ

is related to four observables

a, b, c

and

d

as follows :

ρ = \frac{a^{3} b^{2}}{\sqrt{c d}}

.The percentage errors of measurement in

a, b, c

and

d

are

1 %, 3 %, 4 %

and

2 %,

respectively. What is the percentage error in the quantity

ρ

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 1 - Measurement and Physics>EXERCISE>Q 32

A physical quantity is represented by

X = M^{a} L^{b} T^{- c}

. If the percentage of error in the measurements of

M, L, T

are

α %, β %

and

γ %

then the maximum percentage error in

X

is :

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IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 1 - Measurement and Physics>EXERCISE>Q 33

A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading :

0 mm

Circular scale reading :

52

divisions
Given that

1 mm

on main scale corresponds to

100

divisions of the circular scale. The diameter of wire from the above data is :

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 1 - Measurement and Physics>EXERCISE>Q 34

A student uses a simple pendulum of exactly

1 m

length to determine

g

, the acceleration due to gravity. He uses a stopwatch with the least count of

1

second for this and records

40

seconds for

20

oscillations. For this observation, which of the following statements is true?

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IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 1 - Measurement and Physics>EXERCISE>Q 35

In an experiment, the angles are required to be measured using an instrument.

29

divisions of the main scale exactly coincides with

30

divisions of the vernier scale. If the smaller division of the main scale is half-a-degree

(= 0.5 °)

, then the least count of the instrument is

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 1 - Measurement and Physics>EXERCISE>Q 36

A student performed the experiment of determination of focal length of a concave mirror by

u - v

method using an optical bench of

1.5 m

. The focal length of the mirror used is

24 cm

. The maximum error in the location of the image can be

0.2 cm

. The five sets of

(u, v)

values recorded by the student in (cm) are

(42, 56), (48, 48), (60, 40), (66, 33), (78, 39)

. The data set(s) that cannot come from experiments and is (are) incorrectly recorded, is(are)

An experiment measures quantities a, b and c and X is calculated from X=ab2c3 If the percentage error in a, b and c are ±1%,±3% and ±2% respectively, the percentage error in X will be-

Important Questions on Measurement and Physics

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An experiment measures quantities $a, b$ and $c$ and $X$ is calculated from $X = \frac{a b^{2}}{c^{3}}$ If the percentage error in $a, b$ and $c$ are $\pm 1 %, \pm 3 %$ and $\pm 2 %$ respectively, the percentage error in $X$ will be-