Q. Two waves having the intensities in the ratio of 9:1 produce interference. The ratio of maximum to minimum intensity is equal to
A) $10:8$
B) 9:1
C) 4:1
D) 2:1
Explanation
(c) $\frac{I_{1}}{I_{2}} = \frac{a^{2}}{b^{2}} = \frac{9}{1}$
$\therefore\ \ \ \frac{a}{b} = \frac{3}{1}$
$\frac{I_{\max}}{I_{\min}} = \frac{(a + b)^{2}}{(a - b)^{2}} = \left( \frac{3 + 1}{3 - 1} \right)^{2} = 4:1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.