Question

A long spring whose one end is fixed is stretched from the other end and then left longitudinal waves of frequency $500Hz$ are produced. If the velocity of the wave is $250m/s$. Find the distance between two consecutive compressions and rarefaction.

• A. $1.25m$
• B. $0.5m$
• C. $2.5m$
• D. $2m$

Answer 1

The correct option is B $0.5m$

The distance between two consecutive compressions is the wavelength $\lambda$.

Given,

Frequency, $f=500Hz$

Velocity, $v=250m/s$

We know,

$v=\lambda f$

$250=\lambda \times 500$

$\lambda =\frac{250}{500}=0.5m$