Question

If an object is placed between two plan mirrors a distance 2b, apart, the object is situated at mid-point between mirrors, the position of nth image formed by the one of the mirrors with respect to the object​

Answer 1

Explanation:

2b+n will be the distance of the nth image formed where n is the distance of image from the first mirror

Answer 2

The position of nth image formed by the one of the mirrors with respect to the object​ is 2nb

Explanation:

• As seen in the figure attached

• The first image is at distance b from the mirror

• The second image is at distance 3b from the opposite mirror

• i.e. second image is at distance 4b from the object (4b=2×2b)

• Similarly we can see that third image will be at distance 5b from the opposite mirror

• i.e. the third image will be at distance 6b from the object
• 6b = 2 × 3b
• Therefore, we can say that the nth image will be at distance 2 × nb or 2nb distance from the object

Hope this answer is helpful.

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