Waves

In a stationary wave that forms as a result of reflection of waves from an obstacle the ratio of the amplitude at an antinode to the amplitude at node is K. Find the percent of Total Energy reflected.

8 Answers

1
rishabh ·

amplitude of node = 0 . then k = ∞ ?

71
Vivek @ Born this Way ·

No. The amplitude isn't exactly zero.

262
Aditya Bhutra ·

is it k2-1k2+1 ?

71
Vivek @ Born this Way ·

I too did it using the fact how the Amplitudes and the Energy for a wave are related . We have expression for the Amplitude of the reflected wave and from there we can get it.

Did you do the same way or else?

21
Swaraj Dalmia ·

let wave be x=Asin(wt)
reflected wave=Bsin(wt+Ï€) [B due to loss of energy,Ï€ phase change due to reflection]
therefore eqn. of stationary wave=Asinwt-Bsinwt=(A-B)sin(wt)

Therefore amplitude at node should be 0.

71
Vivek @ Born this Way ·

Aditya, Post you solution please.

262
Aditya Bhutra ·

but i really dont remember the logic behind my answer.

71
Vivek @ Born this Way ·

You just answerd it 4 days ago?

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