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Grade 12th passModern Physics

Sun radiates energy in all direction the average energy received at earth is 1.4 KW/m² . Average distance betn earth and sun is 1.5×10¹¹ m. If the energy is released by conservation of mass and energy then mass lost by sun per day is approximately is ............................kg.

Profile image of Samrat Khatri
10 Years agoGrade 12th pass
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1 Answer

Profile image of Vikas TU
10 Years ago
 A = 4•π•r^2 = 4•π•(1.5•10^11)^2 = =9•π•10^22 m^2. 

b. Power density is p =1400 W/m^2. 
The total power is 
P = p•A =1400 • 9•π•10^22 = 
=3.96•10^26 W. 

c. Stefan-Boltzmann Law 
R = σ•T^4, 
R =P/A1 = P/(4• π•r1^2), is the black body irradiance, 
σ =5.67• 10^-8 W•m^-2•K^-4 is the Stefan-Boltzmann constant, 
T =[P/(A1• σ)]^1/4 ={3.96•10^26/[4• π•(6.96• 10^8)^2]}^1/4 = 5800 K.