Someone help plz I really need help on this question
1 answer:
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Answer: 100Mpc
Explanation:
Hubble deduced that the farther the galaxy is, the more redshifted it is in its spectrum, and noted that all galaxies are "moving away from each other with a speed that increases with distance", and enunciated the now called Hubble–Lemaître Law.
This is mathematically expressed as:
(1)
Where:
is the approximate recession velocity of the galaxy
is the Hubble constant
is the distance
Now, we have two galaxies A and B ande we know the following:
Galaxy A has a velocity twice that of galaxy B
(2)
Galaxy A is 200 Mpc away
(3)
According to Hubble Law:
(4)
(5)
Substituting (2) in (5):
(6)
(7)
(8)
If (9)
(10)
Substituting (8) in (11):
(11)
Finally: