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, 30We 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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