Assuming the sun to be a spherical body of radius R at a temperature of T K, evaluate the total radiant power, incident on Earth, at a distance r from the Sun. (earth radius = r 0 )
Text Solution
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From Stefan's law, the rate at which energy is radiated by sun at its surface is

[Sun is a perfectly black body as it emits radiations of all wavelengths and so for it
.] The intensity of this power at earth's surface [under the assumption
] is

The area of earth which receives this energy is only one half of total surface area of earth, whose projection would be
.
Total radiant power as received by earth




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