Two waves of wavelength 50 cm and 51 cm produce 12 beats/s. The speed of sound is (a) 306 m/s (b) 331 m/s (c) 340 m/s (d) 360 m/s

Answer: (a). v/0.50 - v/0.51 = 12 v · (0.01)/(0.50 × 0.51) = 12 ⇒ v = (12 × 0.255)/(0.01) v = 306 m/s So the answer is (a) 306 m/s.

Two waves of wavelength 50 cm and 51 cm produce 12 beats/s. The speed… | NEET 1999 (AIPMT)

Q75NEET 1999 · AIPMTMedium

Beats

Two waves of wavelength $50\text{ cm}$ and $51\text{ cm}$ produce $12$ beats/s. The speed of sound is

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Answer: (a)

$\dfrac{v}{0.50} - \dfrac{v}{0.51} = 12$
$v \cdot \dfrac{0.01}{0.50 \times 0.51} = 12 \Rightarrow v = \dfrac{12 \times 0.255}{0.01}$
$v = 306\text{ m/s}$
So the answer is (a) $306\text{ m/s}$ .