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  • A light wave travels from medium 1 with a velocity of 2 x 108 m/s to medium 2 with a velocity of 1.5 x 108 m/s. If the angle of incidence is 30 degrees, what is the angle of r

A light wave travels from medium 1 with a velocity of 2 x 108 m/s to medium 2 with a velocity of 1.5 x 108 m/s. If the angle of incidence is 30 degrees, what is the angle of refraction?

Option: 1

5 degrees


Option: 2

10 degrees


Option: 3

22 degrees


Option: 4

60 degrees


Answers (1)

Using the formula

\frac{\sin (i)}{\sin (r)}=\frac{V _1}{V _2},

we can find

\sin (\mathrm{r})=\frac{V _2}{V_ 1} \quad \times \sin (\mathrm{i}).

Substituting values,\sin (r)=(\left(1.5 \times 10^8 \mathrm{~m} / \mathrm{s}\right) /\left(2 \times 10^8 \mathrm{~m} / \mathrm{s}\right)) \times \sin (30)=0.75 \times 0.5=0.375

Taking the inverse sine,

we get the angle of refraction as approximately 22 degrees.

 
 

Posted by

Kshitij

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