A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading : 58.5 degree Vernier scale reading : 09 divisions Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data:

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Question

A spectrometer gives the following reading when used to measure the angle of a prism.

Main scale reading : 58.5 degree

Vernier scale reading : 09 divisions

Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data:

59 degree

58.59 degree

58.65 degree

58.77 degree

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Least count $(LC) = \frac{0 .5 degree}{30}$

Reading = Main scale reading + vernier scale reading

$= 58.5 + 9 \times \frac{0.5}{30}$

= 58.65 degree