A source of sound emits sound wave of frequency ' f ' and moves towards an observer with a velocity V 3 where V is the velocity of sound. If the observer moves away from the source with a velocity V 5 the apparent frequency heard by him will be

Step-by-step solution

Apparent frequency calculation using Doppler effect The apparent frequency f' observed when both source and observer are moving is given by f' = f V v_o V v_s , with signs determined by relative motion directions. Given the source moves toward the observer with v_s = V 3 , and the observer moves away from the source with v_o = V 5 , the appropriate form is f' = f V - v_o V - v_s . Substituting the values yields f' = f V - V 5 V - V 3 = f 4V 5 2V 3 . Simplifying the compound fraction gives f' = f 4V 5 3 2V = f 12 10