A) \[4.4\times {{10}^{10}}kg\]
B) \[7.6\times {{10}^{14}}kg\]
C) \[3.8\times {{10}^{11}}kg\]
D) \[3.8\times {{10}^{14}}kg\]
Correct Answer: B
Solution :
Energy emitted per second from the sun \[=1.4\times {{10}^{3}}\times 4\pi {{r}^{2}}\] \[=1.4\times {{10}^{3}}\times 4\pi \times {{(1.5\times {{10}^{11}})}^{2}}\] \[\therefore \] Energy emitted per day from the sun, \[=1.4\times {{10}^{3}}\times 4\times \frac{22}{7}\times 2.25\times {{10}^{22}}\times 24\times 3600\] \[=8\times 22\times 225\times 864\times {{10}^{24}}\] From Einstein's mass-energy relation, \[E=m{{c}^{2}}\] \[\therefore \] \[m=\frac{E}{{{c}^{2}}}=\frac{8\times 22\times 225\times 864\times {{10}^{24}}}{{{(3\times {{10}^{8}})}^{2}}}\] \[=7.6\times {{10}^{14}}kg\]
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