Q. Ratio of amplitudes of the waves coming from two slits having widths in the ratio $4: 1$ will be

Wave Optics Report Error

A

$1: 2$

B

$2: 1$

C

$1: 4$

D

$4: 1$

Solution:

In a YDSE setup the light intensity on screen due to any slit is directly proportional to its slit width, so we use As Intensity $\propto$ slit width
$\frac{I_{1}}{I_{2}}=\frac{4}{1}$
$\Rightarrow \frac{a_{1}}{a_{2}}=\sqrt{\frac{I_{1}}{I_{2}}}=2$

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