Show that when a string fixed at its two ends vibrates in 1 loops, 2 loops , 3 loops and 4 loops , the frequencies are in the ration `1:2:3:4.`

Explanation

In case of a string at two ends, we have proves in Art , what when the string vibrates in n loops, its frequency is `v_(n)=nv=(n)/(2l)sqrt((T)/(m)), i.e., v_(n)propn`
`:.` When the string fixed at its two ends vibrates in 1 loop, 2 loops, 3 loops and 4 loops, the frequencies are in the ration `1: 2: 3: 4.`