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. `4.4xx10^(9) kg`
B. `7.6xx10^(14) kg`
C. `3.8 xx 10^(12)kg`
D. `3.8xx10^(14)kg`

Answer

D

Explanation

Power radiated by sun `P = 1.4 xx 10^(3) xx 4pi (1.5xx10^(11))^(2)`
`= 3.95xx10^(26)W`
Energy obtained `E = Pt = mc^(2)`
`m = (Pt)/(c^(2)) = (3.95xx10^(26)xx86400)/((3xx10^(8))^(2)) = 3.8xx10^(14)kg`