Underwater problem

Classical Mechanics Level 2

A diver at a depth of 12 m in water sees the sky in a cone of semi vertical angle

tan^ -1 (3/4) sin^ -1 (4/3) sin^ -1 (3/4)

Shobhit Singh by Shobhit Singh , 20, India

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2 solutions

Rwit Panda
Jan 20, 2016

Refractive index of water is approximately 4 3 \frac{4}{3} , which should have been mentioned.

Taking the semi vertical angle as θ \theta , and applying Snell's Law

4 3 × sin ⁡ θ = s i n ( π 2 ) \frac{4}{3}\times\sin\theta = sin(\frac{\pi}{2})

So, sin ⁡ θ = 3 4 \sin\theta = \frac{3}{4}

So, θ = s i n − 1 ( 3 4 ) \theta = sin^{-1}(\frac{3}{4})

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Kushagra Sahni
Dec 31, 2015

The refractive index of water should be given.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

U should remember it

Hemant Lakhotia - 2 years, 5 months ago

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