Two waves of same frequency and same amplitude from two monochromatic source are allowed to superpose at a certain point. If in once case the phase difference is $0{^\circ}$ and in other case is $\pi/2$, the ratio of the intensities in the two cases will be

Question

Dr. Abubacker · Accepted Answer

(b) From $I_{R} = I_{1} + I_{2} + 2\sqrt{I_{1}I_{2}}\cos\phi$
When $\phi = 0{^\circ},\ I_{R} = I + I + 2\sqrt{II}\cos{0{^\circ} = 4I}$
When $\phi = 90{^\circ}$
$I_{R}^{'} = I + I + 2\sqrt{II}\cos{90{^\circ} = 2I}$
$\frac{I_{R}}{I_{R}^{'}} = \frac{4I}{2I} = 2:1$

Q. Two waves of same frequency and same amplitude from two monochromatic source are allowed to superpose at a certain point. If in once case the phase difference is $0{^\circ}$ and in other case is $\pi/2$, the ratio of the intensities in the two cases will be

Explanation

Reviewed by Dr. Abubacker

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