If an object is placed between two plane mirrors at a distance $2 b$ apart, the object is situated at midpoint between mirrors. The position of nth image formed by one of the mirrors with respect to the object is:

n b

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2 n b

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3 n b

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4 n b

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Solution

The correct option is C $2 n b$
In general, the 'n'th image in a mirror is formed as a result of reflection of the 'n-1'th image of the opposite mirror. As shown in the figure, the first image formed due to the object is formed at a distance 'b' behind the mirrors and the consecutive images are formed at a distance '2b' behind the previous image.
So, the distance of the 'n'th image from the object is 2nb

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If an object is placed between two plane mirrors at a distance 2b apart, the object is situated at midpoint between mirrors. The position of nth image formed by one of the mirrors with respect to the object is:

If an object is placed between two plane mirrors at a distance $2 b$ apart, the object is situated at midpoint between mirrors. The position of nth image formed by one of the mirrors with respect to the object is: