Letn = Frequency of the tuning fork
n1=Frequency of the wire corresponding to length of L1 (39.5 cm)
n2=Frequency of the wire corresponding to length of L2 (40.5 cm)
The frequency of wire is inversely proportional to its length
Hence,n1>n2
So, n1/n2=n+4 / n−4 [ since number of beats = 4]
But, n1/n2=L2/L1
n+4 / n−4 = 40.5/39.5
40.5n−162=39.5n+158
n=320 HzAns:Frequency of the tuning fork=320 Hz