Two copper wires of radii r₁ and r₂ ( r₁ > r₂ ) are subjected to same tension and are plucked. Tansverse waves set up will

Step-by-step solution

The velocity of a transverse wave in a stretched wire is given by v = T , where T is the tension and is the linear mass density. The linear mass density can be expressed as = r^2 , where r is the radius of the wire and is the density of the material. Substituting into the velocity formula gives v = T r^2 = 1 r T . Since both wires are made of copper, their densities are the same. The tension T is also the same for both wires. Therefore, the velocity v is inversely proportional to the radius r , which means v 1 r .