A uniform wire 20 ~m long and weighing 50 ~N hangs vertically. The speed of the wave at mid point of the wire is (acceleration due to gravity = g =10 ~ms ⁻² )

Step-by-step solution

m = 50 10 =5 ~kg ( W = mg ) Tension in the mid-point of the wire is: T = m 2 ~g = 5 2 10=25 ~N Speed of the wave at mid-point of the wire is: aligned v & = T = 25 ( 5 20 ) ( = m L ) v & =10 ~m / s aligned