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Q.

In a vernier calipers, N divisions of vernier scale coincide with (N – 1) divisions of main scale (in which one division represents 1mm). The least count is (in cm)

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a

N

b

N-1

c

$\frac{1}{N}$

d

$\frac{1}{10 N}$

answer is D.

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Detailed Solution

N-1 main scale division is N vernier divisions. So one vernier division is $\frac{N - 1}{N}$ main scale division.

least count is 1 M.S.D -1 V.S.D = $1 mm - \frac{N - 1}{N} mm$ = $\frac{1}{N} mm$ = $\frac{1}{10 N} cm$

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