NEET Physics Nuclei Questions Solved

NEET - 2008

If M $(A, Z), M_{p} a n d M_{n}$ denote the masses of the nucleus ${}_{Z}^{A}X$ , proton and neutron respectively in units of u $(1 u = 931.5 M e V / c^{2})$ and BE represnts its binding energy in MeV, then

(a) M(A,Z)=Z $M_{p} + (A - Z) M_{n} - B E / c^{2}$
(b) M(A,Z)=Z $M_{p} + (A - Z) M_{n} + B E$

(d) M(A,Z)=Z $M_{p} + (A - Z) M_{n} + B E / c^{2}$

Binding energy of a nucleus containing N neutrons and Z protons is $B E = [N M_{n} + Z M_{p} - M (A, Z)] c^{2} \Rightarrow \frac{B E}{c^{2}} = N M_{n} + Z M_{p} - M (A, Z) \Rightarrow \frac{B E}{c^{2}} = (A, Z) M_{n} + Z M_{p} - M (A, Z) (a s N = A - Z) \Rightarrow M (A, Z) = Z M_{p} + (A - Z) M_{n} - B E / c^{2}$

Difficulty Level:

(a)
55%
(b)
12%
(c)
23%
(d)
12%