Question

The given graph shows the displacement versus time relation for a wave travelling with a velocity of $1500m{s}^{-1}$ . Calculate the wavelength of the disturbance.

• A. 1 mm
• B. 1.5 mm
• C. 3 mm
• D. 4.5 mm

Answer 1

The correct option is C

3 mm

Given, Velocity of the wave, V = $1500m{s}^{-1}$
From the graph,
Time period, $T=2\times {10}^{-6}s$ (Time for one complete cycle)
We know, $wavelength=\frac{Velocity}{Frequency}$

$\therefore Wavelength=Velocity\times Timeperiod$ $(T=\frac{1}{f})$

$\lambda =V\times T$
$\lambda =1500\times 2\times {10}^{-6}$
$\lambda =3\times {10}^{-3}m=3mm$