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Karnataka Board PUCPUC Science Class 11

A screw gauge has a pitch of 1.0 mm and 200 divisions on the circular scale. Do you think it is possible to increase the accuracy of the screw gauge arbitrarily by

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Question

A screw gauge has a pitch of 1.0 mm and 200 divisions on the circular scale. Do you think it is possible to increase the accuracy of the screw gauge arbitrarily by increasing the number of divisions on the circular scale?

Short/Brief Note
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Solution

`"least count" = "Pitch"/"number of divisions on circular scale"`

When number of divisions on circular scale is increased, least count is decreased. Hence, the accuracy is increased. However, this is only a theoretical idea.Practically speaking, increasing the number of ‘turns would create many difficulties.

As an example, the low resolution of the human eye would make observations difficult. The nearest divisions would not clearly be distinguished as separate. Moreover, it would be technically difficult to maintain uniformity of the pitch of the screw throughout its length.

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Chapter 1: Units and Measurements - Exercise [Page 11]

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NCERT Physics Part 1 and 2 [English] Class 11
Chapter 1 Units and Measurements
Exercise | Q 1.8 (b) | Page 11

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