The transverse displacement of a string of a linear density 0.01 ~kg ~m ⁻¹ , clamped at its ends is given by Y_ (x, t) =0.03 ( 2 x 3 ) (60 t) , where x and y are in metres and time t is in seconds. Tension in the string is

Step-by-step solution

Transverse displacement y_ (x, t) =0.03 ( 2 x 3 ) 60 t . This is equation of standing wave. The standard equation of standing wave is y=a k x t Here, =60 , k=2 / 3 So, V= 60 2 3=90 So, T =90 T=90^2 T=90^2 10=81 ~N