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valentina_108 [34]
3 years ago
5

The end of a horizontal rope is attatched to a prong of an electricity driven tuning fork that vibrates at 100hz. The other end

passes over a pulley and supports a 2-kg mass. The linear mass of the rope is 0.75kg/m. What is the wavelength of a transverse wave on the rope?
A. 0.25m
B. 0.16m
C. 0.12m
D. 1.2m
Physics
1 answer:
Darina [25.2K]3 years ago
5 0

here since string is attached with a mass of 2 kg

so here tension force in the rope is given as

T = mg

here we will have

T = 2(9.8) = 19.6 N

now we will have speed of wave given as

v = \sqrt{\frac{T}{\mu}}

here we will have

v = \sqrt{\frac{19.6}{0.75\times 10^{-2}}}

v = 16.33 m/s

now we know that frequency is given as

F = 100 Hz

now wavelength is given as

\lambda = \frac{v}{F}

\lambda = \frac{16.33}{100} = 0.16 m

so wavelength will be 0.16 m

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