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A point object is placed between two plane mirrors ‘a’ distance from one mirror and ‘b’ distance from other . The plane mirrors form an infinite number of images due to multiple reflections. The distance between n^th order images formed in the two mirrors is

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$\frac{n (a + b)}{2}$

$2 n (a - b)$

$2 n (a + b)$

$n (a + b)$

answer is B.

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Detailed Solution

For 1st order $2 a + 2 b = 2 (a + b)$
For 2nd order $4 a + 4 b = 2 .2 (a + b)$
Similar for nth order $2 n (a + b)$

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