A small source of sound vibrating at a frequency 500 ~Hz is rotated along a circle of radius 100 cm at a constant angular speed of 5 revolutions per second. The minimum and maximum frequency of the sound observed by a listener situation in the plane of the circle is (speed of sound is 332 ~ms ⁻¹ )

Step-by-step solution

The linear velocity of whistle, v_s=r aligned v_s & = 100 cm 5 rev / s & = 1 m 2 5 rev / s =10 ~m / s aligned When whistle approaches the listener, then the frequency of sound heard will be maximum and minimum. aligned & n_ =n ( v v-v_s )=500 332 322 =515.5 ~Hz & n_ =n ( v v+v_s )=500 332 342 =485.4 ~Hz . aligned