The source of energy of stars is nuclear fusion. Fusion reaction occurs at very high temperature, about `10^(7) `. Energy released in the process of fusion is due to mass defect. It is also called `Q`-value. `Q = Delta mc^(2), Delta m =` mass defect.
A star has `10^(40)` deutrons. It produes via the process
`._(1)H^(2) + ._(1)H^(2) rarr ._(1)He^(3) + ._(1)H^(1)`
`._(1)H^(3) + ._(1)H^(3) rarr ._(2)He^(4) + ._(0)n^(1)`
If the average power radiated by the star is `10^(16) W`, when the deutron supply of the star is exhausted in a time of the order of

Options

A. `10^(6) s`
B. `10^(8) s`
C. `10^(12) s`
D. `10^(16) s`

Answer

C