A sonometer wire of fixed length is stretched by a tension and vibrates in its fundamental

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

Problem

A sonometer wire of fixed length is stretched by a tension

T_1

and vibrates in its fundamental. When sounded with a tuning fork,

6

beats per second are heard. The tension is then increased to

1.21\,T_1

, making the note of the wire higher, and the beat frequency becomes

2

beats per second. The frequency of the tuning fork is (a)

80\,\text{Hz}

(b)

86\,\text{Hz}

(c)

74\,\text{Hz}

(d)

90\,\text{Hz}