Paragraph: The mass of a nucleus AZX is less than the...
Paragraph:
The mass of a nucleus AZX is less than the sum of the masses of (A−Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of masses m1 and m2 only if (m1+m2)<M. Also two light nuclei of masses m3 and m4 can undergo complete fusion and form a heavy nucleus of mass M′ only if (m3+m4)>M′. The masses of some neutral atoms are given in the table below:

(1u=932MeV/c2)
Question:
The correct statement is
The mass of a nucleus AZX is less than the sum of the masses of (A−Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of masses m1 and m2 only if (m1+m2)<M. Also two light nuclei of masses m3 and m4 can undergo complete fusion and form a heavy nucleus of mass M′ only if (m3+m4)>M′. The masses of some neutral atoms are given in the table below:

(1u=932MeV/c2)
Question:
The correct statement is
Solution:
(A) 3Li7→2He4+1H3
Δm=[MLi-MHe-MH3]
=[6.01513-4.002603-3.016050]
=-1.003523 u
Δm is negative so reaction n is not possible.
(B) 84Po210→83Bi209+1P1
Δm is negative so reaction is not possible.
(C) 1H2→2He4+3Li6
Δm is positive so reaction is possible.
(D) 30Zn70+34Se82→64Gd152
Δm is positive so reaction is not possible.
Δm=[MLi-MHe-MH3]
=[6.01513-4.002603-3.016050]
=-1.003523 u
Δm is negative so reaction n is not possible.
(B) 84Po210→83Bi209+1P1
Δm is negative so reaction is not possible.
(C) 1H2→2He4+3Li6
Δm is positive so reaction is possible.
(D) 30Zn70+34Se82→64Gd152
Δm is positive so reaction is not possible.
Join the conversation