NCERT Class XII Chapter
Nuclei
Questions With Solutions
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Question : 19
Total: 31
How long can an electric lamp of 100 W be kept glowing by fusion of 2.0 kg of deuterium? Take the fusion reaction as
H +
H →
H e + n + 3.27 MeV
Solution:
Number of atoms present in 2 g of deuterium = 6.023 × 10 23
Total number of atoms present in 2000 g of deuterium
=
= 6.023 × 10 26
Energy released in the fusion of 2 deuterium atoms = 3.27 MeV
Total energy released in the fusion of 2.0 kg of deuterium atoms
E =
× 6.023 × 10 26 = 9.81 × 10 26 MeV = 15.696 × 10 13 J
Energy consumed by the bulb per second = 100 J
Time for which the bulb will glow
t =
s or t =
yearsz = 4.9 × 10 4 years
Total number of atoms present in 2000 g of deuterium
=
Energy released in the fusion of 2 deuterium atoms = 3.27 MeV
Total energy released in the fusion of 2.0 kg of deuterium atoms
E =
Energy consumed by the bulb per second = 100 J
Time for which the bulb will glow
t =
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