Question

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

• A. $3\times {10}^{-3}m$
• B. $4\times {10}^{-3}m$
• C. $8\times {10}^{-3}m$
• D. $5\times {10}^{-3}m$

Answer 1

The correct option is A $3\times {10}^{-3}m$

From the graph,
Time period, $T=2\times {10}^{-6}s$.
Wavelength, $\lambda =\frac{Speed\left(v\right)}{Frequency\left(\nu \right)}=v\times T$
$\Rightarrow \lambda =1500\times 2\times {10}^{-6}$
$\therefore \lambda =3\times {10}^{-3}m$.