The ratio of intensities of two waves producing interference is $9: 4$, then the ratio of the resultant…

The ratio of intensities of two waves producing interference is $9: 4$, then the ratio of the resultant maximum and minimum intensities will be $\left(\cos \frac{\pi}{3}=\frac{1}{2}\right)$
  1. $4: 9$
  2. $9: 4$
  3. $25: 1$
  4. $5: 1$

Solution

$\frac{I_{1}}{I_{2}}=\frac{9}{4}$ $\therefore \frac{a_{1}}{a_{2}}=\frac{3}{2}$ $\frac{a_{1}+a_{2}}{a_{1}-a_{2}}=\frac{3+2}{3-2}=\frac{5}{1}$ $\therefore \frac{\left(a_{1}+a_{2}\right)^{2}}{\left(a_{1}-a_{2}\right)^{2}}=\frac{25}{1}$

Asked in: MHT CET 2020 (20 Oct Shift 1)

Practice more Wave Optics questions on Aicharya