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  4. According to Hubble’s law, the redshift (Z) of a receding galaxy and its distance r from earth are related as

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Q. According to Hubble’s law, the redshift $(Z)$ of a receding galaxy and its distance $r$ from earth are related as

AIIMSAIIMS 2005Wave Optics

Solution:

Hubble's law is the statement in physical cosmology that the red shift $(Z)$ in light coming from different galaxies is proportional to their distance $(r)$.
That is, $Z \propto r$
It is considered the first observational basis for the expanding space and today serves as one of the most often cited pieces of evidence in support of the Big Bang.