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(B) Dispersive power $(\omega)$ is defined as the ratio of angular dispersion to the mean deviation.Mathematically, $\omega = \frac{\delta_2 - \delta_

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(B) Dispersive power $(\omega)$ is defined as the ratio of angular dispersion to the mean deviation.Mathematically, $\omega = \frac{\delta_2 - \delta_1}{\delta_{avg}}$, where $\delta_2$ and $\delta_1$ are the deviations of the extreme wavelengths and $\delta_{avg}$ is the deviation of the mean wavelength.Visually, the dispersive power is proportional to the angular spread between the extreme rays ($\lambda_1$ and $\lambda_2$) relative to the deviation of the mean ray $(\lambda_{avg})$.In diagram $B$, the angular separation between the rays corresponding to $\lambda_1$ and $\lambda_2$ is the largest relative to the deviation of the mean ray $\lambda_{avg}$.Therefore, diagram $B$ represents the case with the maximum dispersive power.

Consider the four different cases of dispersion of a light ray which has all the wavelengths from ${\lambda _1}$ to ${\lambda _2}$ (where ${\lambda _1} > {\lambda _2}$). The dotted line represents the light ray of wavelength ${\lambda _{avg}}$. Which ray diagram shows the maximum dispersive power?

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