While tuning a piano string against a tuning fork

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

Problem

While tuning a piano string against a 330 Hz330\,\text{Hz} tuning fork, a technician notes the following: • Initially, 1010 beats per second are heard. • After the string is tightened once, the beat frequency drops to 55 beats per second. • After an identical second tightening, the beats disappear. What was the frequency of the string before any tightening? (a) 335 Hz335\,\text{Hz} (b) 320 Hz320\,\text{Hz} (c) 340 Hz340\,\text{Hz} (d) 325 Hz325\,\text{Hz}

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