Q. Two waves represented by the following equations are travelling in the same medium $y_{1} = 5\sin{2\pi(75t - 0.25x)},\ y_{2} = 10\sin{2\pi(150t - 0.50x)}$ The intensity ratio $I_{1}/I_{2}$ of the two waves is
A) 1 : 2
B) 1 : 4
C) 1 : 8
D) 1 : 16
Explanation
(b) $\frac{I_{1}}{I_{2}} = \frac{a_{1}^{2}}{a_{2}^{2}} \Rightarrow \frac{I_{1}}{I_{2}} = \frac{25}{100} = \frac{1}{4}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.