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If p divisions on the venier scale of vernier calipers correspond to q main scale divisions `(p gt q)`, derive an expression ofr the least count of th

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If p divisions on the venier scale of vernier calipers correspond to q main scale divisions `(p gt q)`, derive an expression ofr the least count of the instrument in terms of p and q. If 1 M.S.D. = k mm, express the least count in cm.
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(i) Least count = 1 M.S.D. - 1 V.S.D.
(ii) L.c.`= {(p-q)/(p)}M.S.D. = (k(p-q))/(10p)cm`
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