Thank you for reporting, we will resolve it shortly
Q.
When a string fixed at its both ends vibrates in $1$ loop, $2$ loops, $3$ loops and $4$ loops, the frequencies are in the ratio
Waves
Solution:
When the string vibrates in loops $n$, its
frequency is, $\upsilon_{n}= \frac{nv}{2L}$
where $L$ is the length of the string and $v$ is the velocity of the wave.
$\therefore $ When the string fixed at its both ends vibrates in $1$
loop, $2$ loops, $3$ loops and $4$ loops, the frequencies are in the ratio $1 : 2 : 3 : 4$.