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A surface at temperature T0 °K receives power P by radiation from a small sphere at temperature T >> T0 and at a distance d. if both T and d are doubled, the power received by surface will becomes approximately (a) P (b) 2 P (c) 4 P (d) 16 P

A surface at temperature T0 °K receives power P by radiation from a small sphere at temperature T >> T0 and at a distance d. if both T and d are doubled, the power received by surface will becomes approximately

(a) P
(b) 2 P
(c) 4 P
(d) 16 P

Grade:Upto college level

2 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
Dear student

The answer is option d

Regards
Vikas TU
14149 Points
2 years ago
The power with which the source radiates:
Directly proportional the fourth power of absolute temperature
Inversely proportional to the square of distance from the source
i.e.
P∝T^4
P∝ 1/d^2 
P = k T^4/ d^2 
When both temp and distance from source are doubled P2 = 4P 

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