CBSE Class 12 Physics 2020 Delhi Set 3 Paper

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Question : 2
Total: 7
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 ‌
6.023×1023
2

×2000=6.023×1026‌ atoms ‌
Two atoms of deuterium fuse to release 3.27‌MeV energy.

So, total energy released
‌=‌
3.27
2
×6.023
×1026‌MeV

‌=‌
3.27
2
×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
‌
15.75×1013
800
s
‌
=0.0197×1013 s

=‌
0.0197×1012
60×60×24×365
‌
=6246.8‌ years ‌
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