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

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

Option: 1

58.590


Option: 2

58.770


Option: 3

58.650


Option: 4

590


Answers (1)

best_answer

30V\! C\! D= 29M\! S\! D

1V\! C\! D=\frac{29}{30}M\! S\! D

Least \: count \: = 1M\! S\! D-1V\! C\! D

=\left ( 1-\frac{29}{30} \right )M\! S\! D= \frac{1}{30}\times 0.5^{\circ}

Reading = Main scale reading + Vernier scale reading × least count

=58.5^{\circ}+9\times \frac{0.5^{\circ}}{30}= 58.5^{\circ}+0.15^{\circ}= 58.65^{\circ}

Posted by

rishi.raj

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