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Measuring Length

A spherometer...

Question

A spherometer has 10 threads per cm and its circular scale has 50 divisions. The least count of the instrument is

A

0.01 c m

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B

0.02 c m

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C

0.002 c m

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D

0.2 c m

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Solution

The correct option is C $0.002 c m$
The least count of the spherometer, $L C =$ pitch/ total number of circular divisions $= \frac{p}{n}$
Here, pitch $p = 1 / 20 = 0.1 c m$ and $n = 50$
Thus, $L C = \frac{0.1}{50} = 0.002 c m$

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