Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by y = 10 cos π x sin 2 π t T cm . The amplitude of the

Question

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by y = 10 cos &#960; x sin 2 &#960; t T cm . The amplitude of the particle at x = 4 3 cm will be _____ cm .

Quantrex Academy · Accepted Answer

Correct answer: 0

Amplitude is the maximum displacement from the mean position, for that sin 2 &#960; t T = 1 Therefore, A = 10 cos 4 3 &#960; = 10 &#215; 1 2 = &#160; 5 &#160; cm

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by y = 10 cos π x sin 2 π t T cm . The amplitude of the particle at x = 4 3 cm will be _____ cm .

Correct answer

Step-by-step solution

More from Waves and Sound

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by y = 10 cos &#960; x sin 2 &#960; t T cm . The amplitude of the particle at x = 4 3 cm will be _____ cm .

Correct answer

Step-by-step solution

More from Waves and Sound

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by y = 10 cos π x sin 2 π t T cm . The amplitude of the particle at x = 4 3 cm will be _____ cm .