Two wires, made up of same material, are of equal lengths but their radii are in the ratio 1 : 2 . On stretching each of these two string by the same tension, the ratio between their fundamental frequencies is

Question

Two wires, made up of same material, are of equal lengths but their radii are in the ratio 1 : 2 . On stretching each of these two string by the same tension, the ratio between their fundamental frequencies is, 1 : 2, 2 : 1, 1 : 4, 4 : 1

MARKS App · Accepted Answer

Here, ρ 1 = ρ 2 ; r 1 r 2 = 1 2 , T 1 = T 2 n 1 = 1 2 l r 1 T 1 π ρ 1 ; n 2 = 1 2 l r 2 T 2 π ρ 2 n 1 n 2 = r 2 r 1 = 2

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