Question

A wave with a frequency of $30Hz$ travels along a string at a speed of $36meterpersecond$ and reflects off from a free end. How far (in m) is the first node from the end of the string ?

Answer 1

Given, frequency of the wave, $f=30Hz$
Speed of the wave, $v=36m/s$


$\lambda =\frac{v}{f}=\frac{36m/s}{30}=1.2m$

As the wave reflects from free end of the string it means there will be antinode.

We know that the distance between antinode and the next node, $=\frac{\lambda }{4}$
$\frac{\lambda }{4}=\frac{1.2}{4}=0.3m$

Final answer: $\left(0.30\right)$