The sun radiates energy in all directions. The average radiations received on the earth surface from the sun is `1.4 "kilowatt"//m^2`. The average earth-sun distance is `1.5 xx 10^11` meters. The mass lost by the sun per day is.

Options

A. `4.4 xx 10^(9) kg`
B. `7.6 xx 10^(14) kg`
C. `3.8 xx 10^(12) kg`
D. `3.8 xx 10^(14) kg`

Answer

D

Explanation

(4) `I = (u)/(4 pi r^(2))`
`u = (I) (4 pi r^(2)) = mc^(2)`
`m = (1.4 xx 10^(3) xx4 pi xx (1.5 xx 10^(11))^(2))/((3 xx 10^(8))^(2)) xx 86400`
`= 3.8 xx 10^(14) kg`