First slide

Travelling wave

Question

The relation between time and displacement for two particles is given by
$y_{1} = 0 .06 \sin 2 π (1 .04 t + φ_{1}), y_{2} = 0 .03 \sin 2 π (1 .04 t + φ_{2})$
The ratio of the intensity of the waves produced by the vibrations of the two particles will be

Moderate

A

2 : 1
B

1 : 2
C

4 : 1
D

1 : 4

Solution

$\frac{I_{1}}{I_{2}} = \frac{a_{1}^{2}}{a_{2}^{2}} = {(\frac{0 .06}{0 .03})}^{2} = \frac{4}{1}$

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