KVPY SB SX Exam 2011 Question Paper

Question : 38 of 120

Marks: +1, -0

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

$P/4$
$P/2$
2P
4P

Validate

Solution:

P = σAT^4= σ × 4πR^2 × T^4

P' = σ × 4π (2R)^2×(T/2)^4

P'=σ×4πR^2T^4×4×1/16

P'=P/4

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