AIPMT PRELIMS2007Physics-Thermodynamics

AIPMT PRELIMS 2007 Physics Radiation MCQ Question

Type: MCQ-numerical-Medium-Class 11

Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature t°C, the power received by a unit surface, (normal to the incident rays) at a distance R from the centre of the sun iswhere σ\sigma is the Stefan's constant.

A

r2sigma(t+273)44piR2\frac{r^2 \\sigma(t + 273)^4}{4\\pi R^2}

B

16pi2r2sigmat4R2\frac{16\\pi^2 r^2 \\sigma t^4}{R^2}

C

r2sigma(t+273)4R2\frac{r^2 \\sigma(t + 273)^4}{R^2}

D

4pir2sigmat4R2\frac{4\\pi r^2 \\sigma t^4}{R^2}

Correct Answer

Option C

Detailed Explanation

The Stefan-Boltzmann law states that the power radiated by a black body is proportional to the fourth power of its absolute temperature.

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