1) A tuning fork undergoes resonance when it vibrates in its harmonic frequency. A tuning fork has many different harmonics. They are called first harmonic, second harmonic, third harmonic etc. Corresponding to each harmonic the tube length(column of air) changes and so we can have multiple tube lengths corresponding to multiple harmonics or frequency at which the tuning fork starts resonating.
2) The speed of sound in an ideal gas is given by,
where,
=Adaiabatic constant of the gas
=The universal gas constant= 8.314 J/mol K
=The absolute temperature in K
=Molar weight of the gas in kg/mol
For air, and so,
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