The wavelength of the sound emitted from a tuning fork at 27.3 ^oC is 1m. What will be the wavelength in the same medium at 0 ^oC?
[Answer : 95 cm]
NO LINKS PLEASE

Question

The wavelength of the sound emitted from a tuning fork at 27 3
oC is 1m What will be the wavelength in the same medium
at 0 oC?
[Answer : 95 cm]
​ NO LINKS PLEASE

Sayantan · Accepted Answer

Dear Student,

The frequency of a tuning fork depends on its material and
dimensions, as such it is given by the following formula

f=12πL2AYρwhere:ρ density of the material the fork is made ofY: Young's modulus of that materialL: Length of the prongsA: cross section area of the prongsYoung's modulus, or modulus of elasticity is directly proportional to temperature
Thus, we obtainf∝1/Tor, λ∝Tapplying this,λ'λ=273300
3or, λ'100=0 95or, λ'=95 cm
Regards

The wavelength of the sound emitted from a tuning fork at 27.3 oC is 1m. What will be the wavelength in the same medium at 0 oC? [Answer : 95 cm] ​ NO LINKS PLEASE

The wavelength of the sound emitted from a tuning fork at 27.3 ^oC is 1m. What will be the wavelength in the same medium at 0 ^oC?
[Answer : 95 cm]
NO LINKS PLEASE