Two travelling waves of equal amplitudes and equal frequencies move… | JEE Main 2022 (24 Jun, Shift 2)

Q72JEE Main 2022 · 24 JUN · SHIFT 2Easy

Stationary Waves & Vibrating Strings

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.

Numerical answer type. Work it out, then open the answer.

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Answer: 5

Amplitude at $x$ : $|10\cos\pi x|$ .
At $x = \frac{4}{3}$ : $10\left|\cos\frac{4\pi}{3}\right| = 10 \times \frac{1}{2} = 5\text{ cm}$ .

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Stationary Waves & Vibrating Strings question from JEE Main 2022 (24 Jun, Shift 2)

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