A star initially has \[{{10}^{40}}\] deuterons. It produces energy via the processes \[_{1}{{H}^{2}}{{+}_{1}}{{H}^{2}}{{\to }_{1}}{{H}^{3}}+p\] \[_{1}{{H}^{2}}{{+}_{1}}{{H}^{3}}{{\to }_{2}}H{{e}^{4}}+n\] The masses of the nuclei are as follows : \[M({{H}^{2}})=2.014\ amu;\ M(p)=1.007\ amu;\] \[M(n)=1.008\ amu;\ M(H{{e}^{4}})=4.001\ amu\] If the average power radiated by the star is \[{{10}^{16}}W\],the deuteron supply of the star is exhausted in a time of the order of [IIT 1993]

A star initially has \[{{10}^{40}}\] deuterons. It produces energy via

1.	A star initially has \[{{10}^{40}}\] deuterons. It produces energy via the processes \[_{1}{{H}^{2}}{{+}_{1}}{{H}^{2}}{{\to }_{1}}{{H}^{3}}+p\] \[_{1}{{H}^{2}}{{+}_{1}}{{H}^{3}}{{\to }_{2}}H{{e}^{4}}+n\] The masses of the nuclei are as follows : \[M({{H}^{2}})=2.014\ amu;\ M(p)=1.007\ amu;\] \[M(n)=1.008\ amu;\ M(H{{e}^{4}})=4.001\ amu\] If the average power radiated by the star is \[{{10}^{16}}W\],the deuteron supply of the star is exhausted in a time of the order of [IIT 1993]
A.	\[{{10}^{6}}\]sec
B.	\[{{10}^{8}}\]sec
C.	\[{{10}^{12}}\]sec
D.	\[{{10}^{16}}\]sec
Answer» D. \[{{10}^{16}}\]sec