Solveeit Logo

Question

Question: Two waves having equations x<sub>1</sub> = a sin(wt + f<sub>1</sub>), x<sub>2</sub> = a sin(wt + f<...

Two waves having equations

x1 = a sin(wt + f1), x2 = a sin(wt + f2)

If in the resultant wave the frequency and amplitude remain equal to those of superimposing waves. Then phase difference between them is –

A

p/6

B

2p/3

C

p/4

D

p/3

Answer

2p/3

Explanation

Solution

R = a = a2+a2+2a2cosϕ\sqrt { a ^ { 2 } + a ^ { 2 } + 2 a ^ { 2 } \cos \phi }

\ f =2π3\frac { 2 \pi } { 3 }