Question

A sound wave has a frequency of $4700$ Hz and travels along a steel rod. If the distance between compressions, or regions of high pressure, is $1.1$ m, what is the speed of the wave?

• A. $5170m/s$
• B. $6270m/s$
• C. $5100m/s$
• D. $2170m/s$

Answer 1

Answer: (A)

$5170m/s$

The relationship between the velocity of the sound, its wavelength and frequency is given by the formula $v=\lambda \times f$,
where, $v$ - velocity of the wave
$\lambda$- wavelength of the wave
$f$ - frequency of the wave.
In the question it is given that the frequency is $4700$ Hz and wavelength is $1.1$ m.
The speed of the sound $v$ is $=\lambda \times f=1.1m\times 4700Hz=5170m/s$.
Hence, the speed of the wave is $5170$ m/s.