Solveeit Logo

Question

Question: When light ray undergoes two internal reflection inside a raindrop, which of the rainbow is formed?...

When light ray undergoes two internal reflection inside a raindrop, which of the rainbow is formed?

A

Primary rainbow

B

Secondary rainbow

C

Both (1) and (2)

D

Can’t say

Answer

Both (1) and (2)

Explanation

Solution

Intensity α (Amplitude)2

⇒ I α A2

When two waves (beams) of amplitude A1 and A2 superimpose, at maxima and minima, the amplitude of the resulting wave are (A1 + A2) and (A1 - A2) respectively. If the maximum and minimum possible intensities are Imax and Imin respectively, then

Imax α (A1 +A2 ) 2

and Imin α (A1 – A2 ) 2

Imax Imin =(A1+A2A1A2)2={A1A2+1A1A21}2\frac { I _ { \text {max } } } { I _ { \text {min } } } = \left( \frac { A _ { 1 } + A _ { 2 } } { A _ { 1 } - A _ { 2 } } \right) ^ { 2 } = \left\{ \frac { \frac { A _ { 1 } } { A _ { 2 } } + 1 } { \frac { A _ { 1 } } { A _ { 2 } } - 1 } \right\} ^ { 2 }

where A1A2=l4I=12\frac { A _ { 1 } } { A _ { 2 } } = \frac { \sqrt { l } } { \sqrt { 4 I } } = \frac { 1 } { 2 }

⇒ Imax = 9I, Imin = I