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A spherical black body with a radius of 12 cm radiates 450 W power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be
(a)225 (b)450
(c) 900 (d)1800

A

`450`

B

`1000`

C

`1800`

D

`225`

Text Solution

Verified by Experts

The correct Answer is:
C
`P prop r^(2)T^(4)`
`rArr (P_1)/(P_2) = ((r_1)/(r_2))^(2) ((T_1)/(T_2))^(4)`
`P_(2) = 1800` watt.
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