two tuning forks A and B produce 10 beats per second. on loading a small ring on one prong of B again 10 beats per second are produced.what was the frequency of B before loading small ring if now frequency of B is 430Hz? give reason for your answer
When we consider a system of forks, the frequency of the beats can be found as
Then, we have to consider that when the mass increases the frequency decreases thus
Then, since we know that , we use the second equation for the beat frequency and we consider that to find the value of fA and then determine fB:
With the last result, this will only work if we consider that to solve the last equation (otherwise we would get the same frequency for fB and f'B and this would not be consistent with the physical phenomena of the increase of frequency as a result of adding mass to an oscillating system):
In conclusion, we find that fB = 450 Hz.
Reference:
Comments
Leave a comment