NCERT Class XII Chapter
Nuclei
Questions With Solutions

© examsnet.com
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
2
1
H
+
2
1
H
3
2
He
+ n + 3.27 MeV
Solution:  
Number of atoms present in 2 g of deuterium = 6.023 × 1023
Total number of atoms present in 2000 g of deuterium
=
6.023×1023×2000
2
= 6.023 × 1026
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 =
3.27
2
× 6.023 × 1026 = 9.81 × 1026 MeV = 15.696 × 1013 J
Energy consumed by the bulb per second = 100 J
Time for which the bulb will glow
t =
15.69×1013
100
s or t =
15.69×1011
3.15×107
yearsz = 4.9 × 104 years
© examsnet.com
Go to Question: