5 beats/second are heard when a tuning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either 0.95 m or 1 m. The frequency of the fork will be :

Engineering

Physics

Interference of Sound Wave

Question

150 Hz

300 Hz

195 Hz

251 Hz

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$\frac{v}{2 ℓ_{1}} - f = 5$

$f - \frac{v}{2 ℓ_{2}} = 5$

$∴ \frac{ℓ_{2}}{ℓ_{1}} = \frac{f + 5}{f - 5}; ℓ_{1} = 0 .95 m$

ℓ₂ = 1 m

$∴$ f = 195 Hz