Concepts Of Physics MCQ Edition [Volume 1]PhysicsDispersion and Spectra

The angular dispersion caused by a prism

Options

Aincreases when the average refractive index increases
Bincreases when the average refractive index decreases
Chas no relationship with the average refractive index
Dremains constant regardless of whether the average refractive index increases or decreases

Correct answer

A. increases when the average refractive index increases

Step-by-step solution

The angular dispersion produced by a thin prism is given by = ( _v - _r)A , where _v and _r are the refractive indices for violet and red light respectively, and A is the angle of the prism. The dispersive power of the material of the prism is defined as = _v - _r - 1 , where is the average refractive index (usually for yellow light). Rearranging this, we get _v - _r = ( - 1) . Substituting this into the expression for angular dispersion, we obtain: = ( - 1)A From this relation, it is evident that for a given angle

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