A transparent cube of side d, made of a material of refractive index `mu_(2)` , is immersed in a liquid of refractive index `mu_(1)(mu_(1)ltmu_(2))`. . A ray is incident on the face AV at an angle `theta` (shown in the figure). Total internal refraction takes place at point E on the face BC. Then must satisfy:

Options

A. `theta lt sin^(-1)sqrt((m_(2)^(2))/(m_(1)^(2))-1)`
B. `theta gt sin^(-1)(mu_(1))/(mu_(2))`
C. `theta lt sin^(-1).(m_(1))/(mu_(2))`
D. `theta gt sin^(-1)sqrt((mu_(2)^(2))/(mu_(1)^(2))-1)`

Answer

A