Question

the earth receivs energy from the sun at the ratecof 2400 Wper m2 the total power incident on asurface of demensions 16m× 10m is​

Answer 1

Answer:

Explanation:

Let R be the radius of Sun and d be the distance of earth from centre of Sun.

Power radiated by Sun =σAT  

4

 

=σ(4πR  

2

)T  

4

 

The power radiates out over a spherical surface. If we consider a sphere with radius = distance between Sun and earth with centre at centre of Sun, the power radiated by Sun is distributed over the surface of sphere.

So power per unit area (intensity) at location of earth's surface =  

4πd  

2

 

σ4πR  

2

T  

4

 

​  

=1400w/m  

2

 

⇒T  

4

=  

σ4πR  

2

 

1400×4πd  

2

 

​  

 

⇒T  

4

=  

σR  

2

 

1400×d  

2

 

​  

 

⇒T  

4

=  

(5.67×10  

−8

)  

2

(7×10  

8

)  

2

 

1400×(1.5×10  

11

)  

2

 

​  

 

⇒T=(1.1337×10  

15

)  

4

1

​  

 

 

⇒T=5801K