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Q.

Let mp be the mass of a proton, mn be the mass of a neutron, M1 be the mass of a  1020Ne, nucleus and M2 be the mass of a  2040Ca nucleus. Then 

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a

M2<2M1

b

M1>10mn+mp

c

M2>2M1

d

M2=2M1

answer is C.

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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 then the sum of masses of it's constituent particles  1020Ne is made up of 10 protons plus 10 neutrons. Therefore, mass of  1020Ne nucleus M1<10 mp+mn
Also heavier the nucleus, more is he mass defect thus 20(mn+mpM2>10mp+mnM1  or 10mp+mn>M2M1
M2<M1+10mp+mnM2<M1+M1M2<2M1.

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