A string has mass per unit length of 10⁻⁶ ~kg / cm The equation of simple harmonic wave produced in it is Y=0.2 (2 x+80 t) m . The tension in the string is

Step-by-step solution

Wave velocity, v= T T = v ^2 = v ^2 10⁻⁶ Given, =10⁻⁶ ~kg / cm =10⁻⁴ ~kg / m T = v ^2 10⁻⁴...(i) Given, Y=0.2 (2 x+80 t) , Comparing with standard equation, y=A (K x+ t) =80 aligned K & = v v & = K aligned aligned & v= 80 2 & v=40 ~m / s aligned From equation (i) aligned & T =(40)^2 10⁻⁴ & ~T =0.16 ~N aligned