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A horizontal ray of light passes through a prism P of index 1.50 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:

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1°

6°

18°

4°

answer is C.

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Detailed Solution

The deviation produced by each prism, $δ = (μ - 1) A = (1.50 - 1) \times 4 = 2^{\circ}$
To counterbalance this deviation, the minor should be rotated by 1°.

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