Physics

Units and Measurements

Screw Gauge

The pitch of a screw gauge having 50 divisions on its circular

Question

Medium

Solving time: 3 mins

The pitch of a screw gauge having 50 divisions on its circular scale is $1 mm$ . When the two jaws of the screw gauge are in contact with each other, the zero of the circular scale lies 6 divisions below the line of graduation. When a wire is placed between the jaws, 3 linear scale divisions are clearly visible while 31st division on the circular scale coincides with the reference line. Find diameter of the wire.

Views: 5,998 students

Updated on: Jul 30, 2023

Book:

Mechanics Volume 1 (DC Pandey)

Text solutionVerified

LC = \frac{Pitch}{Number of divisions on circular scale}

= \frac{1 mm}{50} = 0.02 mm

Positive zero error

= n_{1}

(LC) or,

e = 6 \times 0.02 = 0.12 mm

Linear scale reading

= 3 (

pitch

) = 3 mm

Circular scale reading

= n_{2} (LC) = 31 \times 0.02

= 0.62 mm

Measured diameter of wire

= (3 + 0.62) mm

= 3.62 mm

∴

Actual diameter of wire

= 3.62 mm - 0.12 mm = 3.50 mm

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The pitch of a screw gauge having 50 divisions on its circular scale is

1 mm

. When the two jaws of the screw gauge are in contact with each other, the zero of the circular scale lies 6 divisions below the line of graduation. When a wire is placed between the jaws, 3 linear scale divisions are clearly visible while 31st division on the circular scale coincides with the reference line. Find diameter of the wire.

11 mins ago

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Question Text	The pitch of a screw gauge having 50 divisions on its circular scale is $1 mm$ . When the two jaws of the screw gauge are in contact with each other, the zero of the circular scale lies 6 divisions below the line of graduation. When a wire is placed between the jaws, 3 linear scale divisions are clearly visible while 31st division on the circular scale coincides with the reference line. Find diameter of the wire.
Updated On	Jul 30, 2023
Topic	Units and Measurements
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 6
Upvotes	700
Avg. Video Duration	7 min

Text solutionVerified

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