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Q.

 Li3   7 fuses with a proton according to the nuclear reaction given below :   11p+7Li374He+4He.  Given that the atomic masses of  11H, 24He and 7Li3 are 1.007825 u, 4.002603 u and 7.016004 u respectively, where u=931.5MeV/c2 , then the Q – value of the reaction is

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a

17.35 MeV

b

18.06 MeV

c

177.35 MeV

d

170.35 MeV

answer is A.

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Detailed Solution

The total mass of the initial particles mi=1.007825+7.016004=8.023829u

total mass of final particles mf=2×4.002603=8.005206u.

Difference between the initial and final mass of particles =mimf=8.0238298.005206=0.018623u. The Q value is given by Q=(Δm)c2=0.018623×931.5=17.35MeV

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