Question

In case of a transverse wave in a string

• A. If $\frac{\lambda }{2\pi }>A_0$ , maximum particle speed is more than the wave speed
• B. $\frac{\lambda }{2\pi }=A_0$ , maximum particle speed is equal to the wave speed
• C. In harmonic wave, wave velocity is constant
• D. In harmonic wave, particle speed is constant

Answer 1

Answer: (B), (C)

The correct options are
B $\frac{\lambda }{2\pi }=A_0$ , maximum particle speed is equal to the wave speed
C In harmonic wave, wave velocity is constant

Maximum particle speed $=\omega A$
ωA0
For a medium wave velocity is constants.

Waves velocity $=\omega /k$

Equating the two, equations we get,

$⟹\omega A=\omega /k$

$⟹A=1/k$

(ωK)⇒ωK=ωA0=λ2πA0 $⟹A=\lambda /2\pi$

For a medium wave velocity is constants.