Q 11-14-007NEETJEE MainMedium
For the wave $y = 0.1\sin(100\pi t - 2\pi x)$ (SI units), the maximum speed of a particle of the medium is
Answer: (C) $10\pi$ m/s
Concept. Each particle performs SHM, so its maximum speed is $A\omega$ (not the wave speed $\omega/k$).
Step 1. Read off. $A = 0.1$ m, $\omega = 100\pi$ rad/s.
Step 2. Maximum particle speed.
$$v_{\max} = 0.1 \times 100\pi = 10\pi\ \text{m/s}$$
Answer. $10\pi$ m/s (Option C).
Solution by Sreeraj P, M.Sc Physics