Question

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

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

Answer 1

The correct option is B $0.5m$

$f=500Hz$
$v=250m/s$
$v=f\times \lambda$
or, $250=500\times \lambda$
or, $\lambda =0.5m$
$\therefore$ distance between 2 consecutive compression = wavelength $=0.5m$