If M0 is the mass of an oxygen isotope 8O17 , Mp and Mn are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

Question

If M0 is the mass of an oxygen isotope 8O17 , Mp and Mn are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is (A)  (MO-8MP)c2  (B)  (MO-8MP-9Mn)c2  (C)  MOc2  (D)  (MO-17Mn)c2

Tardigrade Admin · Accepted Answer

Binding energy BE =(M text nucleus-M text nucleons ) c2 =(MO-8 Mp-9 Mn) c2

Q. If $M_{0}$ is the mass of an oxygen isotope $_{8} O^{17}$ , $M_{p}$ and $M_{n}$ are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

$(M_{O} - 8 M_{P}) c^{2}$

$(M_{O} - 8 M_{P} - 9 M_{n}) c^{2}$

$M_{O} c^{2}$

$(M_{O} - 17 M_{n}) c^{2}$

Binding energy
$BE = (M_{nucleus} - M_{nucleons}) c^{2}$
$= (M_{O} - 8 M_{p} - 9 M_{n}) c^{2}$

Q. If M0​ is the mass of an oxygen isotope 8​O17 , Mp​ and Mn​ are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

(MO​−8MP​)c2

(MO​−8MP​−9Mn​)c2

MO​c2

(MO​−17Mn​)c2