A given nucleus, of binding energy B, contains Z protons N neutrons. The mass M (N, Z) of the nucleus is given by :- ( C :- Speed of light)

Question

A given nucleus, of binding energy B, contains Z protons N neutrons. The mass M (N, Z) of the nucleus is given by :- ( C :- Speed of light) (A) M ( N , Z )= NMn + ZMp + BC 2 (B) M ( N , Z )= NMn + ZMp + B / C 2 (C) M ( N , Z )= NMn - ZMp + B / C 2 (D) M ( N , Z )= NMn + ZMp - B / C 2

Tardigrade Admin · Accepted Answer

As, Binding energy; B =(Δ m ) C 2 or (Δ m )= B / C 2 NMn + ZM p - M ( N , Z )= B / C 2 ∴ M ( N , Z ) = NMn + ZMp - B / C 2

Q. A given nucleus, of binding energy $B$ , contains $Z$ protons & $N$ neutrons. The mass $M (N, Z)$ of the nucleus is given by :-
( $C$ :- Speed of light)

$M (N, Z) = NM n + ZMp + B C^{2}$

$M (N, Z) = NM n + ZMp + B / C^{2}$

$M (N, Z) = NM n - ZMp + B / C^{2}$

$M (N, Z) = NM n + ZMp - B / C^{2}$

As, Binding energy; $B = (Δ m) C^{2}$
or $(Δ m) = B / C^{2}$
$NM n + Z M_{p} - M (N, Z) = B / C^{2}$
$∴ M (N, Z) = NM n + ZMp - B / C^{2}$

Q. A given nucleus, of binding energy B, contains Z protons & N neutrons. The mass M(N,Z) of the nucleus is given by :- ( C :- Speed of light)

M(N,Z)=NMn+ZMp+BC2

M(N,Z)=NMn+ZMp+B/C2

M(N,Z)=NMn−ZMp+B/C2

M(N,Z)=NMn+ZMp−B/C2