The fundamental frequency of a sonometer wire is when its vibrating length is

PHYSICS · Single correct · CBSE · Physics · Waves · Waves

Problem

The fundamental frequency of a sonometer wire is 180 Hz180\,\text{Hz} when its vibrating length is 80 cm80\,\text{cm}, the tension remaining unchanged. With this setting a tuning fork produces 1212 beats per second. The vibrating length of the wire is now reduced to 75 cm75\,\text{cm} without altering the tension and no beats are heard. The frequency of the tuning fork is (a) 204 Hz204\,\text{Hz} (b) 192 Hz192\,\text{Hz} (c) 168 Hz168\,\text{Hz} (d) 180 Hz180\,\text{Hz}

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