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In the figure shown a thin parallel beam of light is incident on a plane mirror m1 at small angle 'θ'. m2 is a concave mirror of focal length 'f '. After three successive reflections of this beam the x and y coordinates of the image is :

(A)  x = f – d, y = fθ

(B)  x = d + f, y = fθ

(C)  x = f – d, y = – f θ

(D)  x = d – f, y = – f θ

1 Answer

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Best answer

Correct option  (D)  x = d – f, y = – f θ

Explanation :

After Ist reflection (from plane mirror)

Parallel beam of light strick on a concave mirror.

After IInd reflection (from concave mirror)

Image is formed at focus and shifted by a distance f θ (⟂ to principal axis)

For IIIrd reflection

Object is placed at a distance | f.d| from a plane mirror. 

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