Question

The relation between time and displacement for two particles is given by Y₁ = 0.06 sin 27`pi` (0.04t + `phi_1`), y2 = 0.03sin 27`pi`(0.04t +  `phi_2`). The ratio of the intensity of the waves produced by the vibrations of the two particles will be ______.

पर्याय

• 2: 1

• 1: 2

• 4: 1

• 1: 4

Answer 1

The relation between time and displacement for two particles is given by Y₁ = 0.06 sin 27`pi` (0.04t + `phi_1`), y2 = 0.03sin 27`pi`(0.04t +  `phi_2`). The ratio of the intensity of the waves produced by the vibrations of the two particles will be 4: 1.

Explanation:

`"I"_1/"I"_2= ("a"_1^2)/ ("a"_2^2) = (0.06/0.03)^2 = 4/1`