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  4. 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.

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Q. 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 $y=\left(10 \cos \pi x \sin \frac{2 \pi t}{T}\right) cm$
The amplitude of the particle at $x=\frac{4}{3} cm$ will be ______$cm$.

JEE MainJEE Main 2022Waves

Solution:

$10 \cos \left(\frac{4 \pi}{3}\right)$