A sonometer wire of length and linear density is stretched by a tension of

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

Problem

A sonometer wire of length

1.0\,\text{m}

and linear density

1.0\times10^{-3}\,\text{kg m}^{-1}

is stretched by a tension of

40\,\text{N}

. When sounded with a tuning fork,

12

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

50\,\text{N}

and the beats disappear. The frequency of the tuning fork is (a)

124\,\text{Hz}

(b)

112\,\text{Hz}

(c)

100\,\text{Hz}

(d)

88\,\text{Hz}