An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GHz . What is the frequency of the microwave measured by the observer? (speed of light = 3 × 10 8 m s - 1 )

Step-by-step solution

c f ′ = c f   1 - β 1 + β   ,   β = v c β = 1 2 ⇒ 1 f ′ = 1 f 1 - 1 2 1 + 1 2 =   1 3 1 f ⇒ f ′ =   3 f ⇒ f ′ = 1.73 10 ⇒ f ′ = 17.3   GHz