wave_mechanics progressive_waves Question 10

Question: The relation between time and displacement for two particles is given by $ y _{1}=0.06\sin 2\pi (0.04t+{\varphi _{1}}) $ , $ y _{2}=0.03\sin 2\pi (1.04t+{\varphi _{2}}) $ The ratio of the intensity of the waves produced by the vibrations of the two particles will be

[MP PMT 1991]

Options:

A) 2 : 1

B) 1 : 2

C) 4 : 1

D) 1 : 4

Show Answer

Answer:

Correct Answer: C

Solution:

$ I\propto A^{2}\propto \frac{1}{d^{2}} $

Therefore $ A\propto \frac{1}{d} $