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Q.

A diver looking up through the water sees the outside world contained in a circular horizon. The refractive index of water is 43and the diver’s eyes are 15cm below the surface of water. Then the radius of the circle is:

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a

157cm

b

455cm

c

457cm

d

457cm

answer is D.

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Detailed Solution

Given,

Question Image

μ=43; h=15cm ; R=?

sin⁡90∘sin⁡C=μ⇒sin⁡C=1μ=RR2+h2=34

⇒16R2=9R2+9h2

⇒7R2=9h2

⇒R=37h=37×15=457 cm

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