A black rectangular surface of area A emits energy E per second at $127^{\circ}$C. If length and breadth is reduced to half of initial value and temperature is raised to $527^{\circ}$C then energy emitted becomes

Question

A star 'A' has radiant power equal to 3 times that of the Sun. The temperature of star 'A' is $ 6000 \, \mathrm{K} $ and that of the Sun is $ 2000 \, \mathrm{K} $. What is the ratio of their radii?

Answer 1

Step 1: Kelvin
400 K and 800 K, a ratio of 2.

Step 2: Factors
Area factor $1/4$, temperature factor $2^4 = 16$.

Step 3: Combine
$16/4 = 4$, so the energy is $4E$. Option (C).

Final Answer:
Option (C). \[ \boxed{4E} \]

A black rectangular surface of area A emits energy E per second at \(127^{\circ}\)C. If length and breadth is reduced to half of initial value and temperature is raised to \(527^{\circ}\)C then energy emitted becomes

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The Correct Option is C

Solution and Explanation

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