Answer:
length of the string, l = 0.91 m = 91 cm
Given:
mass of string, M = 30 g =0.03 kg
Tension in string, T = 17 N
time taken for the pulse to travel, t = 40 ms = 0.04 s
Solution:
velocity of the pulse, v = [tex]\sqrt(\frac{T}{\frac{M}{l}})[/tex] (1)
Also, v = [tex]\frac{length of string(l)}{time(t)}[/tex] (2)
From eqn (1) and (2):
[tex]\frac{l}{t} = \frac{Tl}{M}[/tex]
Squaring both the sides of the above eqn, re-arrngingig and solving for length, l:
[tex]l^{2} = \frac{T\times l\times t^{2}}{m}[/tex]
[tex]l = \frac{17\times (0.04)^{2}}{0.03}[/tex]
length, l = 0.91 = 91 cm
