A vibrating string of certain length l under a tension T resonates with a mode corresponding to the first overtone of an air column of length 75cm 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 of the string is slightly increased the number of beats reduces to 2 per second. Assuming the velocity of sound in air to be 340m/s, the frequency n of the tuning fork in Hz is