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JEE Main 2011 (AIEEE) · Reflection & Mirrors

Reflection & Mirrors question from JEE Main 2011 (AIEEE)

Q51JEE Main 2011 · AIEEEMedium

Reflection & Mirrors

A car is fitted with a convex side-view mirror of focal length $20\text{ cm}$ . A second car $2.8\text{ m}$ behind the first car is overtaking the first car at a relative speed of $15\text{ m/s}$ . The speed of the image of the second car as seen in the mirror of the first one is:

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Answer: (a)

Convex mirror: $f = +0.2\text{ m}$ , $u = -2.8\text{ m}$ .
$m = \frac{f}{f - u} = \frac{0.2}{0.2 + 2.8} = \frac{1}{15}$
$v_I = m^2 v_O = \frac{1}{225} \times 15 = \frac{1}{15}\text{ m/s}$
So the answer is (a).

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