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Image Formation by a Point Object

A plane mirro...

Question

A plane mirror of length $8$ cm is moving with speed $3 m / s$ towards a wall in situation as shown in figure. Size of spot formed on the wall is $32 / x$ cm. Find the value of x.

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Solution

Size of the spot $= A^{'} B^{'} = 4 c m + 12 c m$
$= 16 c m$
$⟹ \frac{32}{x}$
$⟹ \frac{32}{x} = 16$
$⟹ x = 2$

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