A tuning fork A of unknown frequency produces 5 beats s - 1 with a fork of known frequency 340 Hz . When fork A is filed, the beat frequency decreases to 2 beats s - 1 . What is the frequency of fork A ?

Step-by-step solution

Initially beat frequency = 5   Hz so, ρ A = 340 ± 5 = 345   Hz , or 335   Hz after filing frequency increases slightly so, new value of frequency of A > ρ A Now, beat frequency = 2   Hz ⇒ new ρ A = 340 ± 2 = 342   Hz , or 338   Hz hence, original frequency of A is ρ A = 335   Hz