Question

The displacement y (in cm) produced by a simple harmonic wave is

$y=\frac{10}{\pi }sin⟮2000\pi t-\frac{\pi x}{17}⟯$

The periodic time and maximum velocity of the particles in the medium will respectively be

[CPMT 1986]

• A. 10^-3 sec and 330 m/sec
• B. 10^-4 sec and 20 m/sec
• C. 10^-3 sec and 200 m/sec
• D. 10^-2 sec and 2000 m/sec

Answer 1

The correct option is C

10^-3 sec and 200 m/sec

Comparing with $y=asin(\omega t-kx)\Rightarrow a=\frac{10}{\pi },\omega =200\pi$

$\therefore v_{max}=a\omega =\frac{10}{\pi }\times 2000\pi =200m/sec$

and $\omega =\frac{2\pi }{T}\Rightarrow 200\pi =\frac{2\pi }{T}\Rightarrow T={10}^{-3}sec$