Obtain an expression for the expparent frequency of sound for an observer moving towards // away from a stationary source of sound.

Obtain an expression for the expparent frequency of sound for an obser

1.	Obtain an expression for the expparent frequency of sound for an observer moving towards // away from a stationary source of sound.
Answer» Solution :Let v be the velocity of SOUND in still air. Let `v_(0)` be the velocity of an observer. Let `T_(0)` be the TIME associated with observer in moving from 0 to 0. `t_(n+1) - t_(1)= nT_(0)-(nv_(0)T_(0))/( v_(0) +v) = nT_(0)[ (v_(0) + v- v_(0))/(v_(0) + v)]` i.e., `( t_(n+1)-t_(1)) =(nT_(0) v)/( v+ v(0))` Apparent FREQUENCY of sound as heard by the observer `f =( 1)/( T )= ( v+ v_(0))/( T_(0)v)` i.e., `f= f_(0)"" (v+ v_(0))/(v)` Apparent wavelength `lambda = lambda_(0)` For an observer moving away from the SOURCE. `f = f_(0) ""(v-v_(0))/(v) ` and `Delta lambda = 0`