Ray Optics and Optical Instruments - Result Question 1

1. A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source I. When the mirror is rotated through a small angle θ, the spot of the light is found to move through a distance y on the scale. The angle θ is given by

[2017]

(a) yx

(b) x2y

(c) xy

(d) y2x

Show Answer

Solution:

  1. (d) When mirror is rotated by angle θ reflected ray will be rotated by 2θ.

According to the condition,

yx=2θ⇒θ=y2x

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