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  • The equation of displacement of two waves are given as, <img alt="\begin{aligned} &\mathrm{y_1=10 \sin \left(3 \pi t+\frac{\pi}{3}\right) }\\ &\mathrm{y_2=5(\sin 5 \pi t+\sqrt{3}

The equation of displacement of two waves are given as,

\begin{aligned} &\mathrm{y_1=10 \sin \left(3 \pi t+\frac{\pi}{3}\right) }\\ &\mathrm{y_2=5(\sin 5 \pi t+\sqrt{3} \cos 5 \pi t) } \end{aligned}
Ratio of their amplitudes -
 

Option: 1

1:2


Option: 2

2:1


Option: 3

1:1


Option: 4

None


Answers (1)

best_answer

The equation e of displacements are-
\begin{aligned} & \mathrm{y_1=10 \sin (3 \pi t+\pi / 3)} \\ & \mathrm{y_2=5(\sin 5 \pi t+\sqrt{3} \cos 5 \pi t)} \end{aligned}

This can also be written as -

\begin{aligned} &\mathrm{ y_2=10 \sin (5 \pi t+\pi / 3) }\\ &\mathrm{ A_1=10 \text { and } A_2=10} \\ &\mathrm{ \frac{A_2}{A_1}=\frac{10}{10}=1: 1} \end{aligned}

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mansi

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