The refractive indices of red,yellow,and viol | vedclass

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(A) The dispersive power $\omega$ of a prism is given by the formula: $\omega = \frac{\mu_v - \mu_r}{\mu_y - 1}$,where $\mu_v, \mu_r, \mu_y$ are the r

Vedclass · Accepted Answer

$0.034$ and $0.064$

Vedclass · Answer

(A) The dispersive power $\omega$ of a prism is given by the formula: $\omega = \frac{\mu_v - \mu_r}{\mu_y - 1}$,where $\mu_v, \mu_r, \mu_y$ are the refractive indices for violet,red,and yellow colors respectively.For the first prism:$\omega_1 = \frac{1.5318 - 1.5140}{1.5170 - 1} = \frac{0.0178}{0.5170} \approx 0.034$.For the second prism:$\omega_2 = \frac{1.6852 - 1.6434}{1.6499 - 1} = \frac{0.0418}{0.6499} \approx 0.064$.Thus,the dispersive powers are $0.034$ and $0.064$ respectively.

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