Answer:
Phase difference will be equal to [tex]\frac{\pi }{15}radian[/tex]
Explanation:
We have given frequency f = 1 kHz
Velocity of sound wave v = 1500 m/sec
It is given that wave are separated by 5 cm
So d = 0.05 m
We know that velocity is equal to [tex]v=\lambda f[/tex], here [tex]\lambda[/tex] is wavelength and f is frequency
So [tex]\lambda =\frac{v}{f}=\frac{1500}{1000}=1.5m[/tex]
[tex]\beta[/tex] is equal to [tex]\beta =\frac{2\pi }{\lambda }=\frac{2\times 3.14}{1.5}=\frac{4\pi }{3}rad/m[/tex]
Phase difference is equal to [tex]\Phi =\beta d=\frac{4\pi }{3}\times 0.05=\frac{\pi }{15}radian[/tex]
