Radio signal from a nearby galaxy is recorded at 0.85 m. The galaxy is moving away with a velocity of 0.75c. Estimate the wavelength of the signal when it was emitted.
Radio signal from a nearby galaxy is recorded at 0.85 m. The galaxy is moving away with a velocity of 0.75c. Estimate the wavelength of the signal when it was emitted.
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Transcribed Image Text:Radio signal from a nearby galaxy is recorded at 0.85 m. The galaxy is moving away
with a velocity of 0.75c. Estimate the wavelength of the signal when it was emitted.
Expert Solution
Concept and Principle:
- Since light does not require any medium to travel the Doppler shift in light only depends on the relative velocity of the observer and source.
- When the source is moving away from the observer the wavelength will be longer and is called redshift. When the source is moving toward the observer the wavelength will be shorter and is called blueshift.
- The observed wavelength is given by,
Here λ is the observed wavelength, λ0 is the emitted wavelength, v is the relative velocity, and c is the speed of light.
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