If the Hubble constant is 25 km/s per million light-years,use it to estimate the age of the universe? (c = 3.00 × 10⁸ m/s,1 ly = 9.461 × 10¹⁵ m,1 y = 3.156 × 10⁷ s) A) 10 Gy B) 12 Gy C) 15 Gy D) 20 Gy E) 25 Gy

Question

Quizplus · Accepted Answer

To estimate the age of the universe using the Hubble constant, we can use the formula:

Age of the universe = 1 / Hubble constant

We are given the Hubble constant as 25 km/s per million light-years, which can be converted to m/s per meter as follows:

25 km/s per million light-years = 25 x 10^3 m/s * (1 / 9.461 x 10^15 m) * (1 / (3.156 x 10^7 s)) = 7.93 x 10^-11 s^-1

Using this value, we can calculate the age of the universe as:

Age of the universe = 1 / 7.93 x 10^-11 s^-1 = 12.6 billion years

Therefore, the best choice is B, 12 Gy, which is the closest to the calculated value of 12.6 billion years.

If the Hubble Constant Is 25 Km/s Per Million Light-Years,use