Transverse waves are generated in two uniform wires A and B of same material by attaching their free ends to a vibrating source of frequency 200 Hz. The cross-sectional area A is half that of B, while the tension on A is twice that on B. The ratio of the wavelengths of the transverse waves in A and B is

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1:2

2 :1

1:2

2:1

answer is D.

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Detailed Solution

as n is constant v1λ1=v2λ2 n=p2lTπr2ρ=p2lTAρ ∴ v1v2=λ1λ2=T1T2×A2A11/2 =2TT×A(A/2)1/2=21

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