Question

A sound wave travels at the speed of $300\text{m/s}$ and has a frequency of $2000\text{Hz}$. Find the horizontal distance between consecutive wave crests.

• A. $7.5\times {10}^{-3}\text{m}$
• B. $1.5\times {10}^{-1}\text{m}$
• C. $7.5\times {10}^{-2}\text{m}$
• D. $1.5\times {10}^{-2}\text{m}$

Answer 1

The correct option is B $1.5\times {10}^{-1}\text{m}$

Wave velocity = Frequency $\times$ Wavelength
Wavelength $=\frac{\text{Wave velocity}}{\text{Frequency}}=\frac{300}{2000}=0.15\text{m}$
Distance between consecutive wave crests = Wavelength $=0.15$
$=1.5\times {10}^{-1}\text{m}$