Question

Two waves of wavelength 50 cm and 51 cm produce 12 beats/s. The speed of sound is
1) 306 m/s
2) 331 m/s
3) 340 m/s
4) 360 m/s​

Answer 1

Wavelengths,λ1=50 cm=0.5 mλ2=51 cm=0.51 mfrequency of beats, f=12Now,Frequency of beats,f=vλ1−vλ2

=v [ 1λ1−1λ2]12

=v [10.5−10.51]

or v=306 m/s