Question

If a sound wave of time period $T$ travels with a velocity $V$, then the wavelength is given by :

• A. $\frac{V}{T}$
• B. $VT$
• C. $\frac{1}{VT}$
• D. $\frac{T}{V}$

Answer 1

The correct option is B $VT$

Wavelength is the distance travelled by the wave during the time a particle completes one vibration.

Therefore, if $\lambda$ be the wavelength and $T$ the time period, then the wave travels a distance $\lambda$ in time $T$.

Hence,

$Wavevelocity=\frac{Distance}{Time}$

$V=\frac{\lambda }{T}$

$\Rightarrow \lambda =VT$