A string of length 2 x is stretched by 0.1 x and the velocity of a transverse wave along it is v . When it is stretched by 0.4 x , the velocity of the wave is

Question

A string of length 2 x is stretched by 0.1 x and the velocity of a transverse wave along it is v . When it is stretched by 0.4 x , the velocity of the wave is, 5 6 v, 11 7 v, 32 7 v, 27 6 v

MARKS App · Accepted Answer

Wave speed v = T μ = T L M v 2 v 1 = T 2 L 2 T 1 L 1 = k x 2 l 0 + x 2 k x 1 l 0 + x 1 v 2 v 1 = 0.4 x 2 x + 0.4 x 0.1 x 2 x + 0.1 x v 2 v = 4 24 1 21 = 32 7 v 2 = 32 7 v

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