The frequency of fork A is 3% more than the frequency of a standard fork where as the frequency of fork B is 3% less. The fork A and B produce 6 beats per second. The frequency of standard fork will be -

Options

A. 100 Hz
B. 103 Hz
C. 97 Hz
D. 106 Hz

Answer

A

Explanation

Let the frequency of standard fork is x
` n_A = x + ( 3x ) /(100) `
` n _ B = x - ( 3x ) /(100)`
` n_A - n _ B = x + ( 3x ) /(100) - x + ( 3x ) /(100) = 6 `
` x = 100 ` Hz