EASY

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The value of one angstrom is equal to meter.

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Important Questions on Measurement and Physics

MEDIUM

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

Diameter of a steel ball is measured using a Vernier calipers which has divisions of 0.1 cm on its main scale (MS) and 10 divisions of its Vernier scale (VS) match 9 divisions on the main scale. Three such measurements for a ball are given as:

S.No.	MS (cm)	VS divisions
1.	0.5	8
2.	0.5	4
3.	0.5	6

If the zero error is - 0.03 cm, then mean corrected diameter is:

MEDIUM

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

The least count of the main scale of a screw gauge is

1 mm .

The minimum number of divisions on its circular scale required to measure

5 μm

diameter of a wire is:

HARD

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

A specially designed Vernier caliper has the main scale least count of

1 mm

. On the Vernier scale, there are 10 equal divisions and they match with 11 main scale divisions. Then, the least count of the Vernier caliper is:

MEDIUM

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

The pitch of the screw gauge is

1 mm

and there are

100

divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies

8

divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while

72^{nd}

division on circular scale coincides with the reference line. The radius of the wire is

MEDIUM

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

The pitch and the number of divisions, on the circular scale, for a given screw gauge are

0.5 mm

and

100

respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies

3

divisions below the mean line.

The readings of the main scale and the circular scale, for a thin sheet, are

5 .5 mm

and

48

respectively, the thickness of this sheet is:

HARD

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

There are two vernier calipers both of which have $1 cm$ divided into $10$ equal divisions on the main scale. The Vernier scale of one of the calipers $(C_{1})$ has $10$ equal divisions that correspond to $9$ main scale divisions. The Vernier scale of the other caliper $(C_{2})$ has $10$ equal divisions that correspond to $11$ main scale divisions. The readings of the two calipers are shown in the figure. The measured values (in $cm$ ) by calipers $C_{1}$ and $C_{2}$ respectively, are

Question Image

EASY

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

The dimension of light year

EASY

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

The nearest star to our solar system is

4.3

light years away. The distance of this star in Parsec is (Mean distance between the earth and the sun

= 1.5 \times 10^{11} m

and one light year

= 9.46 \times 10^{15} m)

MEDIUM

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

If the screw on a screw-gauge is given six rotations, it moves by

3 mm

on the main scale. If there are

50

divisions on the circular scale the least count of the screw gauge is:

EASY

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

The least count of the main scale of a vernier calipers is

1 mm

. Its vernier scale is divided into

10

divisions and coincide with

9

divisions of the main scale. When jaws are touching each other, the

7^{th}

division of the vernier scale coincides with a division of the main scale and the zero of vernier scale is lying right side of the zero of the main scale. When this vernier is used to measure the length of the cylinder the zero of the vernier scale between

3.1 cm

and

3.2 cm

and

4^{th}

VSD coincides with the main scale division. The length of the cylinder is (VSD is vernier scale division)

MEDIUM

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

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

0.001 cm

. The main scale reading is

5 mm

and

25^{t h}

division of circular scale coincides with reference line. If screw gauge has a zero error of

- 0.004 cm

, the correct diameter of the ball is

HARD

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

Consider a Vernier calipers in which each

1 cm

on the main scale is divided into

8

equal divisions and a screw gauge with

100

divisions on its circular scale. In the Vernier calipers,

5

divisions of the Vernier scale coincide with

4

divisions on the main scale and in the screw gauge, one complete rotation of the circular scale moves it by two divisions on the linear scale. Then:

EASY

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

In a screw gauge,

5

complete rotations of the screw cause it to move a linear distance of

0.25 cm

. There are

100

circular scale divisions. The thickness of a wire measured by this screw gauge gives a reading of

4

main scale divisions and

30

circular scale divisions. Assuming negligible error, the thickness of the wire is

EASY

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

A screw gauge has

50

divisions on its circular scale. The circular scale is

4

units ahead of the pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of

0.5 mm

is noticed on the pitch scale. The nature of zero error involved and the least count of the screw gauge, are respectively:

MEDIUM

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

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^{t h}

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^{t h}

division coincides with the main scale line?

HARD

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

The diameter of a cylinder is measured using a vernier callipers with no zero error. It is found that the zero of the vernier scale lies between

5.10 cm

and

5.15 cm

of the main scale. The vernier scale has

50

divisions equivalent to

2.45 cm

. The

24^{th}

division of the vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is,

MEDIUM

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

While measuring length of an object it was observed that the zero of the vernier lies between

1.4

and

1.5

of the main scale and the fifth vernier division coincides with a main scale division. If the length of the object measured is

l

, then the value of

(l - 1.4)

in terms of the least count

C

of the instrument is

MEDIUM

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

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

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

The diameter of a cylinder is measured using a vernier callipers with no zero error. It is found that the zero of the vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The vernier scale has 50 divisions equivalent to 2.45 cm. The 24^th division of the vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is

HARD

Physics>Mechanics>Measurement and Physics>Length, Mass and Time Measurement

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

The value of one angstrom is equal to meter.

Important Questions on Measurement and Physics

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