Question

displacement of plane mirror = 2 x displacement of image
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Answer 1

Answer:

All measurements are in centimetres.

Let the point object be at a distance (x, 0) such that x is greater than 2.

When the mirror is at position x=-2, object distance = x - (-2) = x+2.

Image distance = x+2.

When the mirror is at position x=2, object distance = x-2

Image distance = x-2

Difference between image distances = |x-2 - (x+2)| = 4

Amplitude shall be half of this distance = 4/2 =2.

Hence, the amplitude of the image shall also be 2cm.