A piano tuner hears beats per second when a string is sounded together with a tuning fork

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

Problem

A piano tuner hears 66 beats per second when a string is sounded together with a 256 Hz256\,\text{Hz} tuning fork. After the tuner loosens the string slightly, the beat frequency increases to 99 beats per second. What was the original frequency of the piano string? (a) 262 Hz262\,\text{Hz} (b) 250 Hz250\,\text{Hz} (c) 256 Hz256\,\text{Hz} (d) 247 Hz247\,\text{Hz}

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