Consider interference between two sources of intensities I and 4I. What will be the intensity at points where phase differences are: - Noon Academy

Consider interference between two sources of intensities I and 4I. What will be the intensity at points where phase differences are:

Physics | Previous year Chemistry Question Paper

Consider interference between two sources of intensities I and 4I. What will be the intensity at points where phase differences are:

Ans: We know that, $I=a^{2}+b^{2}+2 a b \cos \phi$
Where, $a$ and $b$ are amplitudes of two coherent waves that are having phase difference of $\phi$ .
Here $a^{2}=I, b^{2}=41$

$\begin{array}{l} \Rightarrow|=|+4 \mid+2 \sqrt{\mid} \sqrt{4 \mid} \cos \phi \\ \Rightarrow|=5|+4 \mid \cos \phi \end{array}$

When, $\phi=\frac{\pi}{2}$

$\begin{array}{l} \Rightarrow|=5|+4 \mid \cos \frac{\pi}{2} \\ \therefore|=5| \end{array}$

Therefore, the intensity will be five times more.

i

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