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Question

Question: The relation between time and displacement for two particles is given by – y<sub>1</sub> = 0.06 sin ...

The relation between time and displacement for two particles is given by – y1 = 0.06 sin 2p (0.04t+f1),

y2 = 0.03 sin 2p (0.04t+f2)

The ratio of the intensity of the waves produced by the vibrations of the two particles will be –

A

2 :1

B

1 : 2

C

4 : 1

D

1 : 4

Answer

4 : 1

Explanation

Solution

I µ a2 , I1I2=(a1a2)2=(0.060.03)2=4:1\frac{I_{1}}{I_{2}} = \left( \frac{a_{1}}{a_{2}} \right)^{2} = \left( \frac{0.06}{0.03} \right)^{2} = 4:1