Question

Figure given shows a sinusoidal wave on a string. In the frequency of the wave is $150Hz$, what is the velocity and wavelength of the given wave?

• A. $0.04m,10m{s}^{-1}$
• B. $0.06m,10m{s}^{-1}$
• C. $0.08m,24m{s}^{-1}$
• D. $0.08m,12m{s}^{-1}$

Answer 1

The correct option is D $0.08m,12m{s}^{-1}$

Given frequency of the wave, $\upsilon =150Hz$
From the figure, $\frac{5}{2}\lambda =20cm$
$\therefore$ wavelength of the wave,
$\lambda =\frac{40}{5}cm=8\times {10}^{-2}cm=0.08m$
Velocity of the wave,

$\nu =\upsilon \lambda =\left(150s^{-1}\right)(8\times {10}^{-2}m)=12m{s}^{-1}$