Two tuning forks A and B sounded together give 6 beats per second. When at resonance tube closed at one end, the two forks give resonance when the air columns are 24 cm and 25 cm respectively. Calculate the frequencies of forks.
Show Hint
Beat frequency equals the difference of the two frequencies.
Step 1: For a closed organ pipe,
f (1)/(L)
Step 2: Ratio of frequencies,
(f₁)/(f₂)=(L₂)/(L₁)=(25)/(24)
Step 3: Given beat frequency,
|f₁-f₂|=6
Step 4: Solving gives,
f₁=120 Hz, f₂=124 Hz