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Question

In an instrument, there are 25 divisions on the vernier scale which coincides with 24th division of the main scale. 1 cm on main scale is divided into 20 equal parts. The least count of the instrument is

A
0.002 cm
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B
0.05 cm
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C
0.001 cm
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D
0.02 cm
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Solution

The correct option is A 0.002 cm
Its given that,
24 M.S.D.=25 V.S.D.
1 V.S.D.=2425M.S.D.

Least count is given by:
L.C.=1 M.S.D.1 V.S.D.
L.C.=1 M.S.D.2425M.S.D.
L.C.=125M.S.D.

As given, 1 M.S.D.=1/20 cm
L.C.=125×120 cm=0.002 cm

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