d) A light source emits light of wavelength 125 nm while at rest. When the source is
moving, the Doppler shifted wavelength of the emitted light is 375 nm, Is the source
of light approaching us or receding from us? Also catculate its speed.
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Answer:
6 × 10^8 m/s
Explanation:
λ = 125 nm = emitting wavelength by source.
λ' = 375 nm = apparent wavelength observed by observer.
c = 3 × 10^8 m/s = speed of light.
v = velocity of source.
Apparent wavelength is given by equation,
λ' - λ / λ = v / c
=> 375 - 125 / 125 = v / 3×10^8
=> 250 / 125 = v / 3×10^8
=> 125 v = 250 × 3 × 10^8
=> v = 7.5 × 10^8 / 125
=> v = 600000000
=> v = 6 × 10^8 m/s
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