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makkiz [27]
3 years ago
6

The mass of a string is 2.40×10-3 kg, and it is stretched so the tension in it is 120 N. A transverse wave traveling on this str

ing has a frequency of 260 Hz and a wavelength of 0.60 m. What is the length of the string?
Physics
1 answer:
ankoles [38]3 years ago
3 0

Answer:

Length of the string, l = 0.486 meters

Explanation:

It is given that,

Mass of the string, m=2.4\times 10^{-3}\ kg

Tension in the string, T = 120 N

Frequency of transverse wave, f = 260 Hz

Wavelength of the wave, \lambda=0.6\ m

The speed of a transverse wave (v) is given by :

v=\sqrt{\dfrac{T}{\mu}}........(1)

<em>Where,</em>

\mu=\dfrac{m}{l}

Also, speed of a wave, v=f\times \lambda.........(2)

From equation (1) and (2) :

l=\dfrac{f^2\lambda^2m}{T}

l=\dfrac{(260\ Hz)^2\times (0.6\ m)^2\times 2.4\times 10^{-3}\ kg}{120\ N}

l = 0.486 m

So, the length of the string is 0.486 meters. Hence, this is the required solution.

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