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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

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

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
576-2312_1.PNG
Vikas TU
14149 Points
3 years ago
Acc to the question, Least count = 1 main scale division - 1 vernier scale division

= 1/2 - 29/60 = 1/60

Now the angle of the prism from the above data where

Main scale reading : 58.5 degree
Vernier scale reading : 09 divisions

= 58.5 + 9*(1/60) = 58.5 + 9/60 = 58.5 + 0.15 = 58.65 degree. (Ans)

Therefore, option C is correct

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