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Two simple harmonic waves of equal amplitude 8 cm and equal frequency 10 Hz travel in the same direction. The resultant amplitude is also 8 cm. The phase difference between the individual waves is ______ degrees.

Asked in JEE Main 29th Jan 1st Shift 2023 · Resultant amplitude and phase

Answer: 120

Step-by-step solution

For two equal amplitudes a, the resultant is A=2a cos φ/2.

8=2×8 cos φ/2 gives cos φ/2=1/2, so φ/2=60° and φ=120°.

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