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

Question

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

1 : 1 : 1 : 1

1 : 2 : 3 : 4

4 : 3 : 2 : 1

1 : 4 : 9 : 16

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