1. Tardigrade
  2. Question
  3. Physics
  4. Two waves having equation x1=a sin (ω t-k x+φ1) x2=a sin (ω t-k x+φ2) If in the resultant wave the frequency and amplitude remain equal to amplitude of superimposing waves, the phase difference between them is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Two waves having equation
$x_{1}=a \sin \left(\omega t-k x+\phi_{1}\right) $
$x_{2}=a \sin \left(\omega t-k x+\phi_{2}\right)$
If in the resultant wave the frequency and amplitude remain equal to amplitude of superimposing waves, the phase difference between them is

AIPMTAIPMT 2001Waves

Solution:

Resultant amplitude $=2 a(1+\cos \phi)= a$
$\therefore(1+\cos \phi)=1 / 2 ; \cos \phi=-\frac{1}{2} ; \phi=\frac{2 \pi}{3} \text {. }$