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Question: If the temperature of the Sun were to increase from T to 2T and its radius from R to 2R. The ratio o...

If the temperature of the Sun were to increase from T to 2T and its radius from R to 2R. The ratio of power, radiated by it would become.

A

64 times

B

16 times

C

32 times

D

4 times

Answer

64 times

Explanation

Solution

Power radiated =AT4= AT^{4}

Therefore, when radius becomes twice and area a becomes 4 times and temperature T becomes 2T, power radiated =4(2)4= 4(2)^{4}Times = 64