Question

A light ray is incident on the surface of a sphere of refractive index n at an angle of incidence \(\theta_0\). The ray partially refracts into the sphere with angle of refraction \(\phi\) and then partly reflects from the back surface. The reflected ray then emerges out of the sphere after a partial refraction. The total angle of deviation of the emergent ray with respect to the incident ray is \(a\). Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

List-I		List-II
P	If \(n = 2\) and \(\alpha = 180°\), then all the possible values of \(\theta_0\) will be	I	\(30\degree\) or \(0\degree\)
Q	If \(n = √3\) and \(\alpha= 180°\), then all the possible values of \(\theta_0\) will be	II	\(60\degree\) or \(0\degree\)
R	If \(n = √3\) and \(\alpha= 180°\), then all the possible values of \(\phi_0\) will be	III	\(45\degree\) or \( 0\degree\)
S	If \(n = \sqrt2\) and \(\theta_0 = 45°\), then all the possible values of  \(\alpha\) will be	IV	\(150\degree\)
			\[0\degree\]

• A. P → 5; Q → 2; R→ 1; S→ 4
• B. P → 5; Q → 1; R→ 2; S→ 4
• C. P → 3; Q → 2; R→ 1; S→ 4
• D. P → 3; Q → 1; R→ 2; S→ 5

Answer 1

The Correct Option is A

The correct option is (A):P → 5; Q → 2; R→ 1; S→ 4