Two waves having equations

${x_1} = a\sin (\omega \,t + {\phi _1})$, ${x_2} = a\sin \,(\omega \,t + {\phi _2})$

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

  • A$\frac{\pi }{6}$
  • B$\frac{{2\pi }}{3}$
  • C$\frac{\pi }{4}$
  • D$\frac{\pi }{3}$
AIPMT 2001, Medium
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