Q.

One main scale division of a Vernier calipers is ‘a’ cm and nth division of the Vernier scale coincide with (n-1)th division of  the main scale. The least count of the calipers in mm is:

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a

10nan−1

b

n−110na

c

10an−1

d

10an

answer is D.

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Detailed Solution

Given : 1MSD= a cm nVSD=(n-1)MSD ⇒1VSD=n-1nMSD=n-1na  LC =1MSD-1VSD=a-n-1na=ancm =10anmm
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One main scale division of a Vernier calipers is ‘a’ cm and nth division of the Vernier scale coincide with (n-1)th division of  the main scale. The least count of the calipers in mm is: