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JEE Main 202224 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
24 June
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2022 · 24 June · Evening Shift · Physics · Waves and Sound

Two travelling waves of equal amplitudes and equal frequencies move...

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=(10cosπxsin2\pitT)cmy = \left(10cos\pi xsin\dfrac{2\pit}{T}\right)cm. The amplitude of the particle at x=43cmx = \dfrac{4}{3}cm will be _____ cm.cm .

Correct answer

0

Step-by-step solution

Amplitude is the maximum displacement from the mean position, for that

sin⁡(2\pitT)=1\sin \left(\dfrac{2\pit}{T}\right) = 1

Therefore, A=∣10cos⁡(43π)∣=10×12=5cmA = \left|10\cos \left(\dfrac{4}{3}\pi\right)\right| = 10 \times \dfrac{1}{2} = 5cm

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