Question

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

1- 340m/s 2- 331 m /s

3- 306m/s 4- 360m/s

Answer 1

Answer: The velocity of sound is 306 m/s.

Explanation:

Given that,

Wavelength of first wave $\lambda_{1}=0.5 m$

Wavelength of second wave $\lambda_{2}=0.51 m$

Frequency of beat = 12

We know that,

$f = \dfrac{v}{\lambda_{1}}-\dfrac{v}{\lambda_{2}}$

$12 = v(\dfrac{1}{\lambda_{1}}-\dfrac{1}{\lambda_{2}})$

$12= v(\dfrac{1}{0.5}-\dfrac{1}{0.51})$

$v = 306\ m/s$

Hence, The velocity of sound is 306 m/s.

Answer 2

Answer:The velocity of sound in air is 306m/s

Explanation: