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  • The equation of displacement of two waves are given as, <img alt="y_1=10 \mathrm\,{sin}\left(3 \pi t+\frac{\pi}{3}\right)" src="https://entrancecorner.oncodecogs.com/gif.latex?y_1%3D10%20%5Cma

The equation of displacement of two waves are given as, y_1=10 \mathrm\,{sin}\left(3 \pi t+\frac{\pi}{3}\right)
y_2=5(\sin 5 \pi t+\sqrt{3} \cos 5 \pi t)
Ratio of their amplitudes 

 

Option: 1

1:2


Option: 2

2:1


Option: 3

1:1


Option: 4

None


Answers (1)

best_answer

The equations of displacements are

y_1={10 \sin (3 \pi t+\pi / 3)}

y_2={5(\sin 5 \pi t+\sqrt{3} \cos 5 \pi t)} \\

This can also be written as 

y_2=10 \sin (5 \pi t+\pi / 3) \\

A_1=10 \text { and } A_2=10 \\

\frac{A_2}{A_1}=\frac{10}{10}=1: 1

 

Posted by

Ritika Harsh

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