In a vernier calliper N divisions of vernier scale coincides with ( N − 1 ) divisions of the main scale (in which length of one division is 1 mm ). The least count of the instrument should be (in cm )

Question

In a vernier calliper N divisions of vernier scale coincides with ( N − 1 ) divisions of the main scale (in which length of one division is 1 mm ). The least count of the instrument should be (in cm ):

TestHub · Accepted Answer

Least count 1 M S D − 1 V S D = 1 M S D − ( N − 1 N ) M S D ∵ N V S D = ( N − 1 ) M S D ∴ 1 V S D = ( N − 1 N ) M S D ∴ Least count = 1 N M S D = ( 1 N ) × ( 1 10 ) c m = ( 1 10 N )

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