The critical angle \( \theta_c \) is given by the formula: \[ \sin \theta_c = \frac{n_2}{n_1} \] Here, \( n_1 = 2 \) (glass), \( n_2 = 1 \) (air), so \[ \sin \theta_c = \frac{1}{2} \Rightarrow \theta_c = \sin^{-1} \left( \frac{1}{2} \right) \Rightarrow \theta_c = 30^\circ \]
The correct answer is option (A): \(30°\)
Give reasons:
(i) The sky appears dark to passengers flying at very high altitudes.
At very high altitudes, passengers are above the atmosphere where there is less scattering of sunlight. As a result, they do not see the scattered blue light and the sky appears dark, similar to the condition experienced by astronauts in space.
(ii) 'Danger' signal lights are red in color.