Two vibrating tuning forks produce progressive waves given by y₁=4 500 t and y₂=2 506 t . Number of beats produced per minute is

Step-by-step solution

To reach the solution the given wave equations must be compared with standard equation of progressive wave. So, aligned & y₁=4 500 t...(i) & y₂=2 506 t...(ii) aligned Comparing Eqs. (i) and (ii) with y=a t...(iii) We have, ₁=500 f₁= 500 2 =250 beats / s and ₂=506 f₂= 506 2 =253 beats / s Thus, number of beats produced aligned & =f₂-f₁=253-250 & =3 beats / s & =3 60 beats / min & =180 beats / min aligned