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# the diameter of wire X is twice that of wire Y and tension in X is 4 times that of Y the ratio of velocity of waves in X and Y is

Norman Manchu
151 Points
3 years ago
Wave velocity though can be given by the ratio of w by k it can also be expressed as the root of ratio of trtension and mass Here's how!
$\large v=^{\sqrt{\frac{T}{m}}}=^{\sqrt{\frac{T}{ \rho V}}}=^{\sqrt{\frac{T}{ \rho \pi r^{2}l}}}$
Thus v1|v2=√T1x(r2)^2|√T2x(r1)^2=1:1