wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Three one dimensional mechanical waves in an elastic medium is given as and
y1=3Asin(ωtkx)
y2=Asin(ωtkx+π)
y3=2Asin(ωt+kx)
are superimposed with each other. The maximum displacement amplitude of the medium particle would be

A
4A
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 4A
It is very clear from the question that the waves 1 and 2 will always interfere destructively since, they are completely out of phase with respect to each other.

Therefore, the resultant wave will always have an amplitude of 3A - A = 2A

Now, this wave has to interact with the third wave, constructively to produce a wave that has the maximum amplitude.

This would only be possible if the resultant wave has an amplitude of 2A + 2A = 4A

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Phase Difference and Resultant Amplitude
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon