Question

The mass of a string is 2.00 10-3 kg, and it is stretched so the tension in it is 225 N. A transverse wave traveling on this string has a frequency of 260 Hz and a wavelength of 0.60 m. What is the length of the string?

Answer 1

0.21632 m

Step-by-step explanation:

f = Frequency = 260 Hz

`\lambda` = Wavelength = 0.6 m

v = Velocity =
`f\lambda`

T = Tension = 225 N

m = Mass of string =
`2* 10^(-3)\ kg`

L = Length of string

Velocity of wave is given by

`v=\sqrt{(T)/(m/L)}\\\Rightarrow L=(v^2m)/(T)\\\Rightarrow L=((260* 0.6)^2* 2* 10^(-3))/(225)\\\Rightarrow L=0.21632\ m`

The length of the string is 0.21632 m