Two spheres of the same material have radii $$1$$ m and $$4$$ m and temperature $$4000$$ K and $$2000$$ K respectively. The energy radiated per second by the first sphere is

Question

Infinity Learn · Accepted Answer

The energy radiated per second, P, by a body of surface area A, at temperature T kelvin, is given by   E $$=$$ eσ$$AT4Hence$$,        $$E1$$ $$=$$ eσ$$4$$π$$(1)2$$ × $$(4000)4$$                       $$=$$ eσπ×$$1024$$×$$1012$$ Jand       $$E2$$ $$=$$ eσ[$$4$$π$$(4)2$$]$$(2000)4$$                   $$=$$ eσπ×$$1024$$×$$1012JSo$$, $$E1$$ $$=$$ $$E2$$

Two spheres of the same material have radii 1 m and 4 m and temperature 4000 K and 2000 K respectively. The energy radiated per second by the first sphere is

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