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  4. A point object is placed midway between two plane mirrors distance 'a' apart. The plane mirrors form an infinite number of images due to multiple reflections. The distance between n text th order image formed in the two mirrors is

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Q. A point object is placed midway between two plane mirrors distance $'a'$ apart. The plane mirrors form an infinite number of images due to multiple reflections. The distance between $n^{\text {th }}$ order image formed in the two mirrors is

Ray Optics and Optical Instruments

Solution:

The distance of the $n^{\text {th }}$ order image formed by one mirror is at a distance of $(2 n-1) \frac{a}{2}$ from the mirror. Distance between the two $n^{\text {th }}$ order images
image
$=(2 n-1) \frac{a}{2}+a+(2 n-1) \frac{a}{2}=2 n a$