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(A) The ray of light is refracted at the plane surface. Since the ray travels from a denser to a rarer medium,for an angle of incidence $(i)$ greater

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(A) The ray of light is refracted at the plane surface. Since the ray travels from a denser to a rarer medium,for an angle of incidence $(i)$ greater than the critical angle $(c)$,the ray undergoes total internal reflection.$(1)$ For $i Thus,$\delta = \sin^{-1}(\mu \sin i) - i$. This is a non-linear relation where $\delta$ increases with $i$. The maximum value of $\delta$ is $\delta_1 = \frac{\pi}{2} - c$,which occurs at $i = c$.$(2)$ For $i > c$,the ray is reflected,and the angle of deviation is $\delta = \pi - 2i$.This shows that $\delta$ decreases linearly with $i$. At $i = c$,$\delta_2 = \pi - 2c$,and at $i = \frac{\pi}{2}$,$\delta = 0$.Comparing these behaviors,the graph in option $(A)$ correctly shows the non-linear increase for $i  c$.

$A$ ray of light travels from a medium of refractive index $\mu$ to air. Its angle of incidence in the medium is $i$,measured from the normal to the boundary,and its angle of deviation is $\delta$. If $\delta$ is plotted against $i$,which of the following best represents the resulting curve?

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