(a) the estimated radius of the universe (b)distance of 1 AU (c)Calauclate the r

Question

(a) the estimated radius of the universe

(b)distance of 1 AU

(c)Calauclate the radius of the universe, expressing the distance as AU's.

5) Given that the speed of light is 2.9979 x 108 m/s, 1 astronomical unit (AU) (the mean radius of Earth's orbit) is 1.49 x 1011 m, and the estimated radius of the universe is 1026 m, calculate (a) the Then (c), calculate the radius of the universe, expressing the dist of 1 AU, expressing both in units of light years. ance as AU's. Note- a light year is the distance light travels in one year. ii. . cluol.me s 1 50m, what

Explanation / Answer

a)

v = speed of light = 2.9979 x 108 m/s

t = time in second for a year = 365 x 24 x 3600 = 3.1536 x 107 s

distance travelled is given as

d = v t = (2.9979 x 108) (3.1536 x 107 ) = 9.45 x 1015 m

hence 1 ly = distance travelled by light in 1 yr = d = 9.45 x 1015 m

R = radius of universe = 1026 m = 1026 m (1 ly/(9.45 x 1015 m)) = 1.1 x 1010 ly

b)

1 AU = 1.49 x 1011 m = 1.49 x 1011 m (1 ly/(9.45 x 1015 m)) = (1.49 x 1011 )/(9.45 x 1015 ) ly = 1.6 x 10-5 ly

c)

R = radius of universe = 1026 m = 1026 m (1 AU/(1.49 x 1011 m)) = 1026 AU/(1.49 x 1011) = 6.71 x 1014 Au

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