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Q.

Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct choice(s) given below

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a

Fusion of two nuclei with mass numbers lying in the range of 1 <A<50 will release energy

b

Fusion of two nuclei with mass numbers lying in the range of 51 <A< 100 will release energy

c

Fission of a nucleus lying in the mass range of 100 <A <200 will release energy when broken into two equal fragments

d

Fission of a nucleus lying in the mass range of 200<A<260 will release energy when broken into two equal fragments

answer is B, D.

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Detailed Solution

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In fusion two or more lighter nuclei combine to form a comparatively heavier nucleus. When binding energy per nucleon increases for a nuclear process, energy is released. In fission, a 

heavy nucleus breaks into two or more lighter

nuclei.

(a)  For 1<A<50, on fusion mass number of the resulting nucleus will be less than 100.

(b)  For 51<A<100, on fusion mass number the resulting nucleus is between 100 and 200. B/A increases, energy will be released.

(c)  On fission for 100<A< 200, the mass number for fission nuclei will be between 50 to 100. B/A decreases, no energy will be released.

(d)  On fission for 200<A<260, the mass number for fission nuclei will be between 100 to 130, B/A will increase, energy will be released.

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