In a resonant experiment, the successive positions of resonance occur at integer multiples of the wavelength. We can use this information to determine the wavelength and then calculate the frequency of the source using the formula:
Frequency (f) = Velocity of Sound (v) / Wavelength (λ)
Given: First position of resonance (n = 1): L1 = 15.4 m Second position of resonance (n = 2): L2 = 48.6 m Velocity of sound in air: v = 3400 m/s
To find the wavelength, we can use the formula: Wavelength (λ) = L2 - L1
λ = 48.6 m - 15.4 m λ = 33.2 m
Now, we can calculate the frequency using the formula: f = v / λ
f = 3400 m/s / 33.2 m
f ≈ 102.41 Hz
Therefore, the frequency of the source is approximately 102.41 Hz.