SATHEE: Optics Question 948

Optics Question 948

Question: A horizontal ray of light passes through a prism of $μ = 1.5$ whose apex angle is $4^{\circ}$ and then strikes a vertical mirror M as shown. For the ray after reflection to become horizontal, the mirror must be rotated through an angle of:

Options:

A) $2^{o}$

B) $3^{o}$

C) $4^{o}$

D) $1^{o}$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $δ = (μ - 1) A = (1.5 - 1) (4) = 2^{o}$

$i = δ = 2^{o}$

Let the mirror be rotated by an angle $θ$ so that $i^{'} = (2^{o} + θ)$

Then, $δ_{t o t a l} = 180^{o}$

or $δ + 180^{o} - 2 i^{'} = 180^{o}$

$∴$ $δ = 2 i^{'}$

or $2^{\circ} = 2 (2 + θ)$

$θ = - 2^{o}$

Here negative sign implies that $i$ gets decreased or $i^{'} = 0$ i.e., light should fall normally on mirror.

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Optics Question 948

Question: A horizontal ray of light passes through a prism of μ=1.5 whose apex angle is 4∘ and then strikes a vertical mirror M as shown. For the ray after reflection to become horizontal, the mirror must be rotated through an angle of:

Options:

Answer:

Solution:

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Question: A horizontal ray of light passes through a prism of $μ = 1.5$ whose apex angle is $4^{\circ}$ and then strikes a vertical mirror M as shown. For the ray after reflection to become horizontal, the mirror must be rotated through an angle of: