If the total binding energies of 1 H 2, 2 He 4, 26 Fe 56 and 92 U 235 nuclei are 2.22,28.3,492 and 1768 MeV respectively, then identify the most stable nucleus out of the following.

Question

If the total binding energies of 1 H 2, 2 He 4, 26 Fe 56 and 92 U 235 nuclei are 2.22,28.3,492 and 1768 MeV respectively, then identify the most stable nucleus out of the following. (A)  26 F e 56 (B)  1 H 2 (C)  92 U 235 (D)  2 He 4

Tardigrade Admin · Accepted Answer

Binding energy/nucleon, 1 H 2: 2.22 / 2=1.11 MeV 1 He 4: (28.3/4)=7.07 MeV 26 Fe 56: (492/56)=8.78 MeV 92 U 235: (1786/235)=7.6 MeV Binding energy/nucleon is maximum for 26 Fe 56, hence it is most stable element.

Q. If the total binding energies of $_{1} H^{2},_{2} H e^{4}, 26 F e^{56}$ and $_{92} U^{235}$ nuclei are $2.22, 28.3, 492$ and $1768 M e V$ respectively, then identify the most stable nucleus out of the following.

$_{26} F e^{56}$

$_{1} H^{2}$

$_{92} U^{235}$

$_{2} H e^{4}$

Binding energy/nucleon,
$_{1} H^{2} : 2.22/2 = 1.11 M e V$
$_{1} H e^{4} : \frac{28.3}{4} = 7.07 M e V$
$_{26} F e^{56} : \frac{492}{56} = 8.78 M e V$
$_{92} U^{235} : \frac{1786}{235} = 7.6 M e V$
Binding energy/nucleon is maximum for $_{26} F e^{56}$ , hence it is most stable element.

Q. If the total binding energies of 1​H2,2​He4,26Fe56 and 92​U235 nuclei are 2.22,28.3,492 and 1768MeV respectively, then identify the most stable nucleus out of the following.

26​Fe56

1​H2

92​U235

2​He4