a) speed of sound in air at room temperature
b) speed of sound in air at 0oC
Answer:
According to the question, the frequency of the tuning fork is
f = 512 Hz
a) When the first maxima are taken into account, the air column length is l = λ/4
or, λ = 4l
We know that the speed of sound is
v = f λ
v = 348.16 m/s
b) It is known that,
$ v\alpha \sqrt{T} $
$ \frac{v}{{{v}_{0}}}=\sqrt{\frac{273+20}{273+0}}=\sqrt{\frac{293}{273}} $
$ {{v}_{0}}=338m/s $