First slide

Radiation

Question

A spherical body of 2.0 cm diameter is maintained at $597^{0} C$ . Assume that it radiates as if it were a blackbody, at what rate (in watts) is energy radiated from the sphere (approx)?

Moderate

A

31 W
B

41 W
C

51 W
D

61 W

Solution

$A = s u r f a c e a r e a = 4 π r^{2} = 4 π {(0.01 m)}^{2} = 1.26 \times 10^{- 3} m^{2}$
$P = A σ T^{4} = (1.26 \times 10^{- 3}) (5.67 \times 10^{- 8}) {(870)}^{4} = 41 W$

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