A vibrating string of certain length \( l \) under a tension \( T \) resonates with a mode corre...

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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 \( 75 \mathrm{~cm} \) inside a tube closed at one end. The string also generates 4 beats/s when excited along with a tuning fork of frequency \( f \). 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 \( 340 \mathrm{~m} / \mathrm{s} \), the frequency \( f \) of the tuning fork in \( \mathrm{Hz} \) is
(a) 344
(b) 336
(c) 117.3
(d) 109.3
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