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A star initially has 10^40 deuterons. It...

A star initially has `10^40` deuterons. It produces energy via the processes `_1H^2+ _1H^2rarr_1H^3+p` and `_1H^2+_1H^3rarr_2He^4+n`. 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
(a) `10^6s` (b) `10^8s` (c) `10^12s`
The masses of the nuclei are as follows
`M(H^2)=2.014` amu, `M(n)=1.008` amu,
`M(p)=1.007` amu,`M(He^4)=4.001`amu

A

`10^(6) s`

B

`10^(8) s`

C

`10^(22) s`

D

`10^(16) s`

Text Solution

Verified by Experts

The correct Answer is:
C
Add equation `3._(1)^(2)H rarr ._(2)^(4)HE + p + n`
(A) `Q = [-[m(._(2)^(4)He)+m(p) + m(n)] + 3m(._(1)^(2)H)] xx 931 MeV`
(B) `10^(16)W = (Q)/(t)`
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