A spherical black body with a radius of $12\;{\rm{ cm}}$ radiates ${\rm{450\; Watt}}$ power at ${\rm{500\; K}}{\rm{.}}$If the radius were halved and the temperature doubled, the power radiated in watt would be

JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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A spherical black body with a radius of

12\;\mathrm{ cm}

radiates

\mathrm{450\; Watt}

power at

\mathrm{500\; K}\mathrm{.}

If the radius were halved and the temperature doubled, the power radiated in watt would be

View answer and explanation

Correct option: A

1800

Option A (1800) is correct because the power radiated by a black body is proportional to the square of the radius and the fourth power of the temperature.

JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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