A turning fork produces two maxima n equals 1 and n equals 3 separatred by 48 cm Find the frequency of the tuning fork?

To find the frequency of the tuning fork, we can use the formula for the difference in positions of the maxima in a standing wave, which is given by ( \Delta y = \frac{(n_2 - n_1) \lambda}{2} ). Here, ( n_1 = 1 ), ( n_2 = 3 ), and ( \Delta y = 48 , \text{cm} = 0.48 , \text{m} ). Thus, ( 0.48 = \frac{(3 - 1) \lambda}{2} ) leads to ( \lambda = 0.48 , \text{m} ). The frequency ( f ) is then calculated using ( f = \frac{v}{\lambda} ), where ( v ) (the speed of sound) is approximately ( 343 , \text{m/s} ). Therefore, ( f = \frac{343}{0.48} \approx 715.5 , \text{Hz} ).