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Q.

How long can an electric lamp of 100W be kept glowing by fusion of 2.0 kg of deuterium? Take the fusion reaction as 
 12H+12H23He+n+3.27MeV

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a

9.4×103 hours

b

9.4×104 hours

c

4.9×103 years

d

4.9×104 years

answer is D.

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Detailed Solution

21H22He3+3.27MeV;P=100W
for 2g→NA atoms
lgNA2; for 2kgNA2×2×103
=6.023×1023×103 ; N=6.023×1026 atoms
E for each 1H2 atom =3.272=1.635MeV
for N atoms 6.023×1026×1.635×1.6×1013J
t=EP=6.023×1.635×1.6×1013100s=6.023×1.635×1.6×1011365×86400yrs t=4.99×104yrs

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