Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave…

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=10cosπxsin(2πt)/Tcm. The amplitude of the particle at x=4/3 cm will be _____ cm.

MARKS Content Team · Accepted Answer

Correct answer: 5. Amplitude is the maximum displacement from the mean position, for that sin(2πt)/T=1 Therefore, A=10cos4/3π=10×1/2= 5 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 $y = (10 \cos π x \sin \frac{2 π t}{T}) cm$ . The amplitude of the particle at $x = \frac{4}{3} cm$ will be _____ $cm .$

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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=10cosπxsin2πtTcm. The amplitude of the particle at x=43 cm will be _____ cm.

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