A string of length 1 m and mass per unit length o.oo1kg/m is hanging vertically. A small pulse is generated at its lower end. The pulse reaches the top end in approximately: (g=10m/s^2)
(1) 1/sqrt(10) s
(2) 3/sqrt(10) s
(3) 2/sqrt(10) s
(4) sqrt(5)/2
I have been taught that speed of pulse is v = √(T/μ), but here tension varies at each point therefore I cannot just simply apply the formula. I think integration would be needed, I tried but ended up nowhere. Can someone help me find the time?