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The figure shows two diagrams of same screw gauge, in first case nothing is kept in its jaw and in second a small ball is kept between jaws which diameter is required to be measured. The number of circular divisions on the shown screw gauge is $50$ . It moves $0.5 mm$ on main scale for one complete rotation and main scale has $\frac{1}{2} mm$ marks. The diameter of the balls is

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Important Questions on Measurement

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Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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:

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Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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,

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Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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:

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Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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:

MEDIUM

Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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:

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Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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:

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Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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

Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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:

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Science>Physics>Measurement>Vernier Caliper and Screw Gauge

A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it ?

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Science>Physics>Measurement>Vernier Caliper and Screw Gauge

The figure of a centimetre scale below shows a particular position of the Vernier calipers. In this position, the value of $x$ shown in the figure is (figure is not to scale):

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EASY

Science>Physics>Measurement>Vernier Caliper and Screw Gauge

A screw gauge has least count of

0.01 mm

and there are

50

divisions in its circular scale. The pitch of the screw gauge is:

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Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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

Science>Physics>Measurement>Vernier Caliper and Screw Gauge

Young's modulus of a perfect rigid body is

EASY

Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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)

EASY

Science>Physics>Measurement>Vernier Caliper and Screw Gauge

N

divisions on the main scale of a vernier calipers coincide with

(N + 1)

divisions of the vernier scale. If each division of main scale is

a

units, then the least count of the calipers is

EASY

Science>Physics>Measurement>Vernier Caliper and Screw Gauge

The vernier scale used for measurement has a positive zero error of $0.2 mm .$ If while taking a measurement it was noted that $0$ on the vernier scale lies between $8.5 cm$ and $8.6 cm$ . Vernier coincidence is $6,$ then the correct value of measurement is $cm .$

(least count $= 0.01 cm$ )

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Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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

Science>Physics>Measurement>Vernier Caliper and Screw Gauge

The length of an object is measured using a vernier system whose main scale is

30 cm

long with

600

divisions. If

19

divisions of the main scale coincide with

20

divisions of the vernier scale, then its least count is

MEDIUM

Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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

Science>Physics>Measurement>Vernier Caliper and Screw Gauge

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

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Important Questions on Measurement

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