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Question: In an experiment the angles are required to be measured using an instrument. 29 divisions of the mai...

In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a-degree (=0.5°), then the least count of the instrument is-

A

One minute

B

Half minute

C

One degree

D

Half degree

Answer

One minute

Explanation

Solution

29 MSD = 30 V.SD

1 VSD = 2930\frac { 29 } { 30 } MSD

L.C = 1 MSD – 1VSD

\binom { Because 1 ^ { \circ } \rightarrow 60 \mathrm {~min} } { \therefore \quad 0.5 ^ { \circ } \rightarrow 30 \mathrm {~min} } = 30 min 2930×30\frac { 29 } { 30 } \times 30 min

= 1 min