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Question

In a theodolite, the circular main scale is divided into degrees and each degree is divided into six parts. If the theodolite is to have a least count 20", then_________main scale divisions are divided into______vernier scale divisions.

A
29, 30
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B
60, 59
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C
59, 60
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D
30, 29
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Solution

The correct option is A 29, 30
We know that,

Least count=sn

Here, Least count,LC=20′′

s=1o6=(60×60)′′6 [1o=60=(60×60)′′]

20=10×60n

n=30

In case of theodolite, n divisions of vernier scale are equal to (n - 1) divisions of main scale.

(30) divisions of vernier scale are divided into (29) divisions of the main scale.

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