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Consider a home made vernier scale as sh...

Consider a home made vernier scale as shown in the figure. In this diagram, we are interested in measuring the length of the line PQ. If both the inclined are indentical and their angles are equal to `theta` then what is the least count of the instrument.

A

`L.C . = 2 t [ (1 - cos theta)/(cos theta) ]`

B

`L.C. = 2t [ (1 + cos theta)/(cos theta) ]`

C

`L.C. = l [ ( 1 - cos theta)/(cos theta) ]`

D

`L.C. = 1/2 [ (1 + cos theta) /( cos theta) ]`

Text Solution

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The correct Answer is:
D
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