First slide

Radiation

Question

Two spheres of the same material have radii 1 m and 4 m and temperatures 4000 K and 2000 K respectively. The ratio of the energy radiated per second by the first sphere to that by the second is:

Moderate

A

1 : 1
B

16 : 1
C

4 : 1
D

1 : 9

Solution

$\frac{E_{1}}{E_{2}} = \frac{A_{1} {T^{4}}_{1}}{A_{2} {T_{2}}^{4}} = \frac{1 \times 4^{4}}{4^{2} \times 2^{4}}$ =1:1

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