In a vernier callipers, one main scale division is x cm and n division

1.	In a vernier callipers, one main scale division is x cm and n divisions of the vernier scale coincide with (n – 1) divisions of the main scale. The least count (in cm) of the callipers is(A) \(\Big(\frac{n-1}{n}\Big)x\) (B) \(\frac{nx}{(n - 1)}\) (C) \(\frac{x}{n}\) (D) \(\frac{x}{(n-1)}\)
Answer» Answer is (C) \(\frac{x}{n}\) One main scale division, 1 M.S.D. = x cm One vernier scale division, 1 V.S.D. = \(\frac{(n-1)x}{n}\) Least count = 1 M.S.D. – 1 V.S.D. = \(\frac{nx-nx+x}{n}\) = \(\frac{x}{n}\) cmm.

In a vernier callipers, one main scale division is x cm and n divisions of the vernier scale coincide with (n – 1) divisions of the main scale. The least count (in cm) of the callipers is(A) \(\Big(\frac{n-1}{n}\Big)x\) (B) \(\frac{nx}{(n - 1)}\) (C) \(\frac{x}{n}\) (D) \(\frac{x}{(n-1)}\)

Answer»

Answer is (C) \(\frac{x}{n}\)

One main scale division, 1 M.S.D. = x cm

One vernier scale division,

1 V.S.D. = \(\frac{(n-1)x}{n}\)

Least count = 1 M.S.D. – 1 V.S.D.

= \(\frac{nx-nx+x}{n}\) = \(\frac{x}{n}\) cmm.

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In a vernier callipers, one main scale division is x cm and n divisions of the vernier scale coincide with (n – 1) divisions of the main scale. The least count (in cm) of the callipers is(A) \(\Big(\frac{n-1}{n}\Big)x\) (B) \(\frac{nx}{(n - 1)}\) (C) \(\frac{x}{n}\) (D) \(\frac{x}{(n-1)}\)

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