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 $1.5 imes 10^{11}metres$. The mass lost by the sun per day is $(1\ day = 86400\ seconds)$

Question

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 $1.5 	imes 10^{11}metres$. The mass lost by the sun per day is $(1\ day = 86400\ seconds)$

Dr. Abubacker · Accepted Answer

(d) Energy radiated $= 1.4\ kW/m^{2}$
$= 1.4\ kJ/s\ m^{2} = \frac{1.4\ kJ}{\frac{1}{86400}day\ m^{2}} = \frac{1.4 	imes 86400\ kJ}{day\ m^{2}}$
Total energy radiated/day
$= \frac{4\pi 	imes \left( 1.5 	imes 10^{11} ight)^{2} 	imes 1.4 	imes 86400}{1}\frac{kJ}{day} = E$
$	herefore E = mc^{2} \Rightarrow m = \frac{E}{c^{2}}$
$= \frac{4\pi 	imes \left( 1.5 	imes 10^{11} ight)^{2} 	imes 1.4 	imes 86400}{\left( 3 	imes 10^{8} ight)^{2}} 	imes 10^{3} = 3.8 	imes 10^{14}kg$

Q. 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 $1.5 \times 10^{11}metres$. The mass lost by the sun per day is $(1\ day = 86400\ seconds)$

Explanation

Reviewed by Dr. Abubacker

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