Question

use the hubble's law to determine the distance to a quasar receding at 75% the speed of light. The speed of light is 300,000 km/sec. assume Hubble's constant is

Answer 1

Complete question:

use the hubble's law to determine the distance to a quasar receding at 75% the speed of light. The speed of light is 300,000 km/sec. assume Hubble's constant is 2.2 x 10⁻⁵ km/s/Lyr

Answer:

The distance to the quasar is 1.02 x 10¹⁰ Lyr

Step-by-step explanation:

Given;

speed of light, v = 300, 000 km/sec

Hubble's constant, H₀ = 2.2 x 10⁻⁵ km/s/Lyr

percentage of the quasar recession = 75% of speed of light

Hubble's Law is given by;

`v =H_od\\\\d = (v)/(H_o)\\\\d= ((0.75*300,000))/(2.2*10^(-5)).Lyr\\\\d = 1.02*10^(10) \ Lyr`

Therefore, the distance to the quasar is 1.02 x 10¹⁰ Lyr