Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant…

Question

Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the √3 times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)

MARKS Content Team · Accepted Answer

Correct answer: 60. When two waves of the same frequency superimpose, the resultant amplitude is given by A_(resultant )=√(A12+A22+2A_1A_2cosϕ) ⇒√3 A=√(A^2+A^2+2A^2cosϕ) ⇒3A^2=2A^2+2A^2cosϕ ⇒cosϕ=1/2 ∴ϕ=60° ∴Phase difference =60 degree

Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the $\sqrt{3}$ times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)

Solution

Relevant Questions

Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the 3 times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)

Solution

Relevant Questions

Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the $\sqrt{3}$ times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)