Dispersive power depends on the following:

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(A) The dispersive power $(\omega)$ of a prism is defined as the ratio of the angular dispersion $(\delta_v - \delta_r)$ to the mean deviation $(\delt

Vedclass · Accepted Answer

material of the prism

Vedclass · Answer

(A) The dispersive power $(\omega)$ of a prism is defined as the ratio of the angular dispersion $(\delta_v - \delta_r)$ to the mean deviation $(\delta_y)$.
Mathematically,$\omega = \frac{\delta_v - \delta_r}{\delta_y} = \frac{(\mu_v - 1)A - (\mu_r - 1)A}{(\mu_y - 1)A} = \frac{\mu_v - \mu_r}{\mu_y - 1}$.
From this formula,it is evident that the dispersive power depends only on the refractive indices $(\mu_v, \mu_r, \mu_y)$ of the material of the prism for different colors.
It is independent of the angle of the prism $(A)$,the shape of the prism,and the size of the prism.
Therefore,the correct option is $A$.

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