CBSE Class 12 Physics 2020 Delhi Set 3 Paper

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Question : 2 of 7
 
Marks: +1, -0
Calculate for how many years the fusion of 2.0kg deuterium will keep 800W electric lamp glowing. Take the fusion reaction as
Solution:
12H+12H→23He+01n+3.27MeV
The given fusion reaction is:

12H+12H→23He+01n+3.27MeV
Amount of deuterium, m=2kg
1 mole, i.e., 2g of deuterium contains 6.023×1023 atoms.

So, 2.0kg of deuterium contains 6.023×10232
×2000=6.023×1026 atoms
Two atoms of deuterium fuse to release 3.27MeV energy.

So, total energy released
=3.272×6.023×1026MeV
=3.272×6.023×1026×106×1.6 ×10−19J
=15.75×1013J
Power of the electric lamp, P=800W=800J∕ s Hence, the energy consumed by the lamp per second =800J
So, the electric lamp will glow for
15.75×1013800 s=0.0197×1013 s
=0.0197×101260×60×24×365=6246.8 years
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