Question
In: Physics
A violin string 20.0 cm long with mass 4.8 g and tension 48 N, fixed at...
A violin string 20.0 cm long with mass 4.8 g and tension 48 N, fixed at both ends, oscillates in its n=2 mode. What is the wavelength in air of the sound emitted by this vibrating string? ( The speed of the sound in air is 343 m/s.)
The answer is 1.534 m, not sure how to find it.
Solutions
Expert Solution
Length L = 20 cm = 0.2 m
mass M = 4.8 g = 4.8 x10 -3 kg
Linear density m = M/L
= 0.024 kg / m
Tension T = 48 N
Speed of sound V = 343 m/s
For n=2 mode the frequency f = (2/2L) 
[T/m]
= (1/0.2) [48/(0.024)]
= 223.6 Hz
The wavelength in air of the sound emitted by this vibrating
string 
= V / f
= 343 / 223.6
= 1.534 m
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