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Identify the prism formula from the following.(a) μ=⁡\(\frac {sin [ \frac {A – \delta_m}{2} ] }{ sin⁡(\frac {A}{2}) } \)(b) μ=⁡\(\frac {sin [ \frac {A + \delta_m}{4} ] }{ sin⁡(\frac {A}{2}) } \)(c) μ=⁡\(\frac {sin [ \frac {A + \delta_m}{2} ] }{ sin⁡(\frac {A}{2}) } \)(d) μ=⁡\(\frac {sin [ \frac {A + \delta_m}{2} ] }{ cos⁡(\frac {A}{2}) } \)I have been asked this question in a job interview.This is a very interesting question from Ray Optics topic in section Ray Optics and Optical Instruments of Physics – Class 12

Answer» RIGHT choice is (c) μ=⁡\(\frac {SIN [ \frac {A + \delta_m}{2} ] }{ sin⁡(\frac {A}{2}) } \)

For explanation I would say: The refractive index of the MATERIAL of the prism is given as:

 μ=⁡\(\frac {sin [ \frac {A + \delta_m}{2} ] }{ sin⁡(\frac {A}{2}) } \)

Where A ➔Angle of the prism and δm ➔angle of minimum deviation. This is known as the prism formula.


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