A) twice as that of the sun
B) same as that of the sun
C) sixteen times as that of the sun
D) one-sixteenth of sun
Correct Answer: C
Solution :
From Stefan's law of radiation, the total radiant energy emitted per second per unit surface area of a black body is proportional to the fourth power of the absolute temperature (T) of the body. Therefore, \[E=\sigma {{T}^{4}}\] where \[\sigma \] is Stefan's constant. Given, \[T=2{{T}_{s}}\] \[\therefore \] \[E'=\sigma {{(2{{T}_{S}})}^{4}}\] \[=16\sigma T_{S}^{4}=16{{E}_{S}}\] Hence, total energy radiated by star is sixteen times as that of the sun.
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