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 )

Question

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 ), 15 . 3 GHz, 10 . 1 GHz, 12 . 1 GHz, 17 . 3 GHz

MARKS App · Accepted Answer

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

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