A tuning fork produces 4 beats per second with another tuning fork of frequency 256 Hz. The first one is now loaded with a little wax and the beat frequency is found to increase to 6 per second. What was the original frequency of the tuning fork?
252 Hz
A tuning fork produces 4 beats with a known tuning fork whose frequency = 256 Hz
So the frequency of unknown tuning fork = either 256 - 4 = 252 or 256 + 4 = 260 Hz
Now as the first one is loaded with wax its mass/unit length increases. So velocity will decrease.
So, its frequency decreases. As frequency decreases the beat frequency increases ( becomes 6 from 4)
So original frequency must be 252 Hz.
260 Hz is not possible as on decreasing the frequency the beats should decrease which is not happening here.