g why we think the universe started with a big bang? hydrogen atoms in the lab emits red light with wavelength 656 nm. from a distant galaxy, this spectral line is observed at 691 nm. this is called red shift, evidence of the expanding universe and the big bang from the start. find the speed of this galaxy away from earth.

Respuesta :

656 nm red light is produced in the lab. This spectral line is seen at 691 nm and originates from a distant galaxy.

With a spectroscopic redshift of z = 10.957, or a proper distance of roughly 32 billion light-years, GN-z11 was the oldest and most distant known galaxy yet detected in the observable universe until the discovery of HD1 in 2022. (9.8 billion parsecs).A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. Even when they travel more and farther away from us, distant galaxies seem to be moving away from us more slowly and slowly. Ultra-distant galaxies, whose light has been streaming towards us for billions of years, begins to catch up to us when the expansion rate slows down, eventually disclosing their presence to our eyes.

where  λ' = wavelength of light emitted by galaxy = 656 nm, v = speed of galaxy = 1000 km/s (positive since the galaxy is moving away from the Earth) and c = speed of light = 300000 km/s

So, substituting the values of the variables into the equation, we have

λ = λ'(√[{1 + (v/c)}/(1 - (v/c)]

λ = 656 nm(√[{1 + (1000 km/s/300000 km/s)}/(1 - (1000 km/s/300000 km/s)]

λ = 656 nm(√[{1 + 1/300}/(1 - 1/300]

λ = 656 nm(√[{(300 + 1)/300}/{(300 - 1)/300}]

λ = 656 nm(√[{(301)/300}/{(299)/300}]

λ = 656 nm(√[301/299])

λ = 656 nm(√1.0067)

λ = 656 nm × 1.0033

λ = 658.19 nm

λ ≅ 658.2 nm

So, the wavelength observed on Earth is 658.2 nm

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