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Least count of two screw gauges is same then.

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Important Questions on Experimental Physics

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Physics>General>Experimental Physics>Experimental Physics XI

In a screw gauge, there are

100

divisions on the circular scale and the main scale moves by

0.5 mm

on a complete rotation of the circular scale. The zero of circular scale lies

6

divisions below the line of graduation when two studs are brought in contact with each other. When a wire is placed between the studs,

4

linear scale divisions are clearly visible while 46^th division the circular scale coincide with the reference line. The diameter of the wire is ______

\times 10^{- 2} mm .

MEDIUM

Physics>General>Experimental Physics>Experimental Physics XI

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:

EASY

Physics>General>Experimental Physics>Experimental Physics XI

In an experiment to find out the diameter of wire using screw gauge, the following observation were noted:

Question Image

(a) Screw moves $0.5 mm$ on main scale in one complete rotation
(b) Total divisions on circular scale $= 50$
(c) Main scale reading is $2.5 mm$
(d) $45^{th}$ division of circular scale is in the pitch line
(e) Instrument has $0.03 mm$ negative error Then the diameter of wire is :

HARD

Physics>General>Experimental Physics>Experimental Physics XI

In an experiment to determine the acceleration due to gravity

g

, the formula used for the time period of a periodic motion is

T = 2 π \sqrt{\frac{7 (R - r)}{5 g}} .

The values of

R

and

r

are measured to be

(60 \pm 1) mm and (10 \pm 1) mm,

respectively. In five successive measurements, the time period is found to be

0.52 s

0.56 s

0.57 s

0.54 s

and

0.59 s

. The least count of the watch used for the measurement of time period is

0.01 s

. Which of the following statements (s) is (are) true?

EASY

Physics>General>Experimental Physics>Experimental Physics XI

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:

HARD

Physics>General>Experimental Physics>Experimental Physics XI

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

MEDIUM

Physics>General>Experimental Physics>Experimental Physics XI

A screw gauge of pitch

0.5 mm

is used to measure the diameter of uniform wire of length

6.8 cm

, the main scale reading is

1.5 mm

and circular scale reading is

7

. The calculated curved surface area of wire to appropriate significant figures is
[Screw gauge has

50

divisions on the circular scale]

EASY

Physics>General>Experimental Physics>Experimental Physics XI

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>General>Experimental Physics>Experimental Physics XI

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

HARD

Physics>General>Experimental Physics>Experimental Physics XI

$Assertion A :$ If in five complete rotations of the circular scale, the distance travelled on the main scale of the screw gauge is $5 mm$ and there are $50$ total divisions on a circular scale, then the least count is $0.001 cm .$

$Reason R :$
Least Count $= \frac{Pitch}{Total divisions on circular scale}$
In the light of the above statements, choose the most appropriate answer from the options given below.

MEDIUM

Physics>General>Experimental Physics>Experimental Physics XI

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>General>Experimental Physics>Experimental Physics XI

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>General>Experimental Physics>Experimental Physics XI

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,

EASY

Physics>General>Experimental Physics>Experimental Physics XI

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

HARD

Physics>General>Experimental Physics>Experimental Physics XI

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>General>Experimental Physics>Experimental Physics XI

Young's modulus of a perfect rigid body is

EASY

Physics>General>Experimental Physics>Experimental Physics XI

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:

MEDIUM

Physics>General>Experimental Physics>Experimental Physics XI

Student $A$ and student $B$ used two screw gauges of equal pitch and $100$ equal circular divisions to measure the radius of a given wire. The actual value of the radius of the wire is $0.322 cm$ . The absolute value of the difference between the final circular scale readings observed by the students $A$ and $B$ is _______.

[Figure shows position of reference $O$ when jaws of screw gauge are closed]

Given pitch $= 0.1 cm$ .

Question Image

MEDIUM

Physics>General>Experimental Physics>Experimental Physics XI

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:

MEDIUM

Physics>General>Experimental Physics>Experimental Physics XI

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:

Least count of two screw gauges is same then.

Important Questions on Experimental Physics

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