A) \[2.52\times {{10}^{-4}}W{{m}^{-2}}\]
B) \[2.52\times {{10}^{-5}}W{{m}^{-2}}\]
C) \[2.52\times {{10}^{-6}}W{{m}^{-2}}\]
D) \[2.52\times {{10}^{-7}}W{{m}^{-2}}\]
Correct Answer: A
Solution :
: The brightness of stars is represented through the system of magnitudes. Thus, \[I={{I}_{0}}\times {{100}^{-m/5}}\] \[\therefore \] \[I={{I}_{0}}\times {{(100)}^{+10/5}}\] Or \[I=(2.52\times {{10}^{-8}})\times {{(100)}^{2}}\] \[\therefore \] \[I=2.52\times {{10}^{-4}}W{{m}^{-2}}\].
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