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Q.

Let mp be the mass of proton, mn the mass of neutron. M1 the mass of N 1020e nucleus and M2 the mass of C 2040a nucleus. Then

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a

M2=2M1

b

M2<2M1

c

M2>2M1

d

M1<10mn+mp

answer is C, D.

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Detailed Solution

Due to mass defect (which is finally responsible for the binding energy of the nucleus), mass of a nucleus is always less than the sum of masses of its constituent particles.

N 1020e is made up of 10 protons plus 10 neutrons

Therefore mass of N 1020e nucleus,

M1<10mp+mn

Also heavier the nucleus more is the mass defect

Thus 20mn+mp-M2>10mn+mp-M1

10mn+mp>M2-M1 M2<M1+10mn+mp

Now since M1<10mp+mn

M2<2M1

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