Answer:
m = 5.54 grams.
Explanation:
It is given that,
Length of a string, l = 1 m
Mass, m = 130 g = 0.13 kg
Time, t = 66 ms = 0.066 s
The speed of a wave is given by :
[tex]v=\sqrt{\dfrac{T}{\mu}}[/tex]
T is tension, T = mg
T = 0.13 kg × 9.8 m/s² = 1.274 N
[tex]\mu[/tex] is mass per unit length, [tex]\mu=\dfrac{m}{l}[/tex]
Let t is time. It can be given by :
[tex]t=\dfrac{l}{v}\\\\t=\dfrac{l}{\sqrt{\dfrac{T}{(m/l)}} }\\\\m=\dfrac{Tt^2}{l}\\\\m=\dfrac{1.274\times 0.066^2}{1}\\\\m=0.00554\ kg[/tex]
or
m = 5.54 grams
So, the mass of the string is 5.54 grams.
