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Hubble law

Q- The tenth brightest member of the cluster of galaxies known as 'Abell1185' has a brightness of 2.70*1010 Wm-2. A line in its spectrum at a wavelength of 503.1 nm is identified as being a member of the Balmer series that has a rest wavelength of 486.1 nm. Consider the luminosity of the tenth brightest galaxy in any cluster is 1.00*10-41 W, the speed of light c is 3.00*105 km/s and 1 Mpc = 3.09*1022 m.

a) Calculate the distance of the Abell1185 cluster of galaxies in metres and in mega-parsecs.

b) Calculate the redshift of the tenth brightest galaxy in the Abell1185 cluster.

c) Calculate the speed of recession in m/s

d) Calculate the value of Hubble constant.

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