Answer :
The tension in the string for waves of frequency of 39 Hz to have a wavelength of 0.740 m is 1166 N.
The velocity(v) of a wave in a string is given by the following formula
V = 1/2L x √(T/μ) .........(i)
Here L is the length of rope
T is the tension
μ is the mass per unit length i.e, M/L
We know that v = f x λ
Where f is the frequency and λ is the wavelength
So, the equation becomes
f x λ = 1/2L x √(T/μ)
Putting f = 39 Hz, lambda = 0.740 m, L= 2.80 m and m = 0.125 kg
39 x 0.740 = 1/2(2.80) root T/(0.125/2.80)
On solving the above equation
T = 1166 N.
Hence, the tension in the string for waves of frequency of 39 Hz to have a wavelength of 0.740 m is 1166 N.
To know more about the "transverse wave in a string", refer to the link given below:
https://brainly.com/question/28203949?referrer=searchResults
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