Two identical strings A and B each of length and linear mass density are fixed on the…

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

Problem

Two identical strings A and B each of length 1.0 m1.0\,\text{m} and linear mass density 2.0×10−3 kg m−12.0\times10^{-3}\,\text{kg m}^{-1} are fixed on the same instrument. String A is under a tension of 100 N100\,\text{N} and vibrates in its fundamental mode. When both strings are plucked, 55 beats per second are heard, and string B is known to have the higher pitch. What is the tension in string B? (a) 120 N120\,\text{N} (b) 91.6 N91.6\,\text{N} (c) 110 N110\,\text{N} (d) 104.5 N104.5\,\text{N}

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