Two waves of wavelengths 50 cm and 51 cm produced 12 beats per second. The velocity of sound is\

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Professor PC Thomas Classes · Answer

(c) : Number of beats produced per second $$ =v_{1}-v_{2}=\frac{v}{\lambda_{1}}-\frac{v}{\lambda_{2}} $$ $12=v\left[\frac{1}{50}-\frac{1}{51}ight] \quad$ or $\quad 12=\frac{v 	imes 1}{50 	imes 51}$\ or, $v=12 	imes 50 	imes 51 \mathrm{~cm} / \mathrm{s}=306 \mathrm{~m} / \mathrm{s}$\