Q.

Two rays are incident on a spherical mirror of radius R = 5cm. parallel to its optical axis at a distance h1=0.5mmandh2=3cm from the optic axis. Determine the distance Δx  (approximately) between the points at which these rays intersect the optical axis after being reflected at the mirror.

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a

1.5 cm

b

0.2 cm

c

0.6 cm

d

1.0 cm

answer is C.

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Detailed Solution

Question Image

x=ODcosα=R2cosα=R.R2R2h2=R22R2h2

x1=52252(0.5)2=2.525cm

x2=5225232=252×4=3.125cm

Δx=x2x1=3.1252.525

=0.6cm

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