Standing Waves: You put a mass of 400 g on the string. (The string is 50 cm long and weights 12.5 g)What distance between adjacent nodes do you then expect for a frequency of 100 Hz? (Use g = 10 m/s2)not clear on how to go about this questions, as you calculate please give reason...as you always do thanks

Question
Asked Nov 9, 2019

Standing Waves: You put a mass of 400 g on the string. (The string is 50 cm long and weights 12.5 g)

What distance between adjacent nodes do you then expect for a frequency of 100 Hz? (Use g = 10 m/s2)

not clear on how to go about this questions, as you calculate please give reason...as you always do thanks

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Expert Answer

Step 1
Distance between two adjacent nodes is half of the wavelength of the wave.
The wave equation is,
Here, v is the speed of the wave, A is the wavelength and f is the frequency of the wave
The speed of propagation of wave in a string is given by
T
1=
Here, T is the tension in the string and u is the linear mass density
Equate the above two equations
T
af
T
1
1
(1)
2
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Distance between two adjacent nodes is half of the wavelength of the wave. The wave equation is, Here, v is the speed of the wave, A is the wavelength and f is the frequency of the wave The speed of propagation of wave in a string is given by T 1= Here, T is the tension in the string and u is the linear mass density Equate the above two equations T af T 1 1 (1) 2

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