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Two plane mirrors $M_{1}$ and $M_{2}$ each of these length $2 m$ and are separated from one another by 1cm. A ray of light is incident at one end of mirror $M_{1}$ at angle $45 °$ . How many reflections, the ray will have before going out from the other end

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101

100

201

200

answer is C.

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Detailed Solution

L = 2m = 200 cm

$d = 1cm$

$θ = 45 °$

$n = \frac{L}{d \tan θ}$

$n = \frac{200}{1 \times \tan 45 °} = \frac{200}{1 \times 1}$

$n = \frac{200}{1} = 200$

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