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

Three components of sinusoidal progressive waves travelling in the same direction along the same path having the same period, but with amplitudes A, A/2 and A/3. The phase of the vibration at any position x on their path at time t=0 are 0,π/2 and π respectively. Find the amplitude and phase of the resultant wave

A
5A2, tan1(4/3)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
6A5, tan1(2/3)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5A6, tan1(3/4)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
5A6, tan1(4/3)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 5A6, tan1(3/4)
Let Ar be the resultant amplitude and ϕ be the phase of resultant wave with respect to A.
From the data given in the question,


From the figure,
Ar=(2A3)2+(A2)2=5A6
and for phase,
tanϕ=opposite sideadjacent side=A/22A/3=34
ϕ=tan1(3/4) with respect to A

Hence, option (c) is the correct answer.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon