A vibrating string of certain length l under a tension T resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length 75 cm inside a tube closed at one end. The string also generates 4 beats per second when excited along with a tuning fork of frequency n. Now when the tension ofthe string is slightly increased the numberof beats reduces to 2 per second. Assuming the velocity of soundin air to be 340 m/s, the frequency n of the tuning fork in Hz is