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Q.

Assuming that about 20 MeV of energy is released per fusion reaction

H2 1  + H2 1   0n1 + 2He4

Then the mass of H 2 1   consumed per day in a fusion reactor of power 1 megawatt will approximately be

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a

0.001 g

b

0.1 g

c

10.0 g

d

0.2 g

answer is D.

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Detailed Solution

P=106watt Time 1 day=24 x36 x102 sec

Energy produced, 

U=Pt=106 x 24 x 36 x 102              =24 x 36 x 108 joule

Energy released for fusion reaction

=20 Mev

=32 x 10-13joule

Energy released per fusion

=32 x 10-13joule

Number of  fusion

=24 x 36 x 10832 x 10-13=27 x 1021  no of H 2 1  atoms involved 2×27×1021 Mass of 6  x 1023atoms = 2g

Mass of 2×27 x 1021 atoms =26 x 10232x 27 x 1021=0.2 g

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