1. Examine each statement one by one

(A) The angular momentum of an electron in $n^{\text{th}}$ orbit is an integral multiple of $\hbar$.

From Bohr's quantization condition,

where $n=1,2,3,\dots$

So the angular momentum is indeed an integral multiple of $\hbar$.

✅ (A) is correct

(B) Nuclear forces do not obey inverse square law.

Nuclear forces are short-range forces and do not vary as $\dfrac{1}{r^2}$ like gravitational or electrostatic forces.

✅ (B) is correct

(C) Nuclear forces are spin dependent.

Yes, nuclear force between nucleons depends on the relative spin orientation of the nucleons.

✅ (C) is correct

(D) Nuclear forces are central and charge independent.

• Charge independence is a standard property of nuclear force: proton-proton, neutron-neutron, and proton-neutron forces are approximately the same after excluding Coulomb effects.
• But saying nuclear forces are purely central is not strictly correct, because nuclear forces also have non-central components (such as tensor force).

Hence the combined statement "central and charge independent" is taken as false because the central nature is not fully valid.

❌ (D) is incorrect

(E) Stability of nucleus is inversely proportional to the value of packing fraction.

Packing fraction is related to the mass defect per nucleon. A smaller (more negative / lower) packing fraction generally indicates greater stability. Thus, stability is taken to vary inversely with packing fraction.

✅ (E) is correct

2. Collect the correct statements

Correct statements are:

3. Match with the given options

• Option A: $(B),(C),(D),(E)$ only ❌
• Option B: $(A),(C),(D),(E)$ only ❌
• Option C: $(A),(B),(C),(E)$ only ✅
• Option D: $(A),(B),(C),(D)$ only ❌

Final Answer