EASY

MHT-CET

IMPORTANT

Earn 100

Two full turns of the circular scale of a screw gauge cover a distance of $1 mm$ on its main scale. The total number of divisions on the circular scale is $50 .$ Further, it is found that the screw gauge has a zero error of $- 0.03 mm$ While measuring the diameter of a thin wire, a student notes the main scale reading of $3 mm$ and. the number of circular scale divisions in line with the main scale as $35 .$ The diameter of the wire is

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Important Questions on Measurements

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Competitive Thinking>Q 68

The circular divisions of shown screw gauge are $50$ . It moves $0.5 mm$ on the main scale in one rotation. The diameter of the ball is

Question Image

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Competitive Thinking>Q 69

A screw gauge with a pitch of

0.5 mm

and a circular scale with

50

divisions is used to measure the thickness of a thin sheet of aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the

45^{th}

division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is

0.5 mm

and the

25^{th}

division coincides with the main scale line?

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MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Competitive Thinking>Q 70

A student measured the diameter of a small steel ball using a screw gauge of the least count

0.001 cm .

The main scale reading is

5 mm

and zero of circular scale division coincides with

25

divisions above the reference level. If screw gauge has a zero error of

- 0.004 cm,

the correct diameter of the ball is

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Competitive Thinking>Q 71

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is

0.5 mm

and there are

50

divisions on the circular scale. The reading on the main scale is

2.5 mm

and that on the circular scale is

20

divisions. If the measured mass of the ball has a relative error of

2 %,

the relative percentage error in the density is

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Competitive Thinking>Q 72

A force

\vec{F}

is applied on a square plate of length

L

. If the percentage error in the determination of

L

3 %

and in

F

4 %,

the permissible error in the calculation of pressure is

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Competitive Thinking>Q 73

The density of the material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively

1.5 %

and

1 %,

the maximum error in determining the density is:

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Competitive Thinking>Q 74

In the determination of Young's modulus

(Y = \frac{4 M L g}{π l d^{2}})

by using Searle's method, a wire
of length

L = 2 m

and diameter

d = 0.5 mm

is used. For a load,

M = 2.5 Kg,

an extension

l = 0.25 mm

in the length of the wire is observed. Quantities

d

and

l

are measured using a screw gauge and a micrometer, respectively. They have the same pitch of

0.5 mm .

The number of divisions on their circular scale is

100 .

The contributions to the maximum probable error of the measurement are

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Competitive Thinking>Q 75

If the time period of a simple pendulum is

T = 2 π \sqrt{\frac{l}{g}},

then the fractional error in acceleration due to gravity is

Important Questions on Measurements

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