If the area is doubled and temperature made halved. What will be the ratio of power radiated?
Answers
Answered by
1
Answer:
search-icon-image
Question
Bookmark
The total radiative power emitted by spherical blackbody with radius R and temperature T is P. If the radius is doubled and the temperature is halved then the radiative power will be.
Medium
Solution
verified
Verified by Toppr
Correct option is A)
Radiative power emitted P=σeAT
4
where A=4πr
2
is the surface area of the body, σ is Stefan's constant, T is the temperature and e is emmissivity of black body.
⟹ P∝r
Given : r
′
=2r and T
′
=
2
T
∴
P
P
′
=
r
2
(r
′
)
2
T
4
(T
′
)
4
Or
P
P
′
=
r
2
(2r)
2
T
4
(T/2)
4
⟹ P
′
=
4
P
Similar questions