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Using Stefan's law, E = σT^4, where T1 is 500 K and T2 is 1000 K, calculate the ratio E2/E1.

1. E2/E1 = 16 × 7 = 112 cal/cm^2s
2. E2/E1 = 16 × 6 = 96 cal/cm^2s
3. E2/E1 = 16 × 8 = 128 cal/cm^2s
4. E2/E1 = 16 × 5 = 80 cal/cm^2s

Correct answer: E2/E1 = 16 × 8 = 128 cal/cm^2s

Solution

According to Stefan's law, the energy radiated is proportional to the fourth power of the temperature. Thus, E2/E1 = (T2/T1)^4 = (1000/500)^4 = 2^4 = 16. Multiplying by 8 gives 128 cal/cm^2s.

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