Physics - Wave on String Question with Solution | TestHub

For a stationary wave on a string, the distance between two consecutive nodes is $\frac{\lambda }{2}$.

Given that there are 3 nodes along the length of the string, the number of loops (segments) formed between these nodes is $3-1=2$.

The total length of the string $L$ is equal to the sum of the lengths of these loops:

$L=2\times \frac{\lambda }{2}=\lambda$

Given $L=90$ cm, we get:

$\lambda =90$ cm

Answer: 90 cm