Which of the alternatives gives correct match of column_i with column-II ?
`{:("","Column-I","","Column-II"),((a),"Binding energy per nucleon for" ""^(56)Fe,(i),5.5 M eV),((b),"Energy of" alpha-"particle in geiger marsden experiment",(ii),200 M eV),((c ),"Energy of photon of visible light",(iii),8.75 M eV),((d),"Energy released in fission of a uranium nucleus",(iv),2 eV):}|`

Options

A. a(i),b(iii),c(iv),d(ii)
B. a(iii),b(i),c(ii),d(iv)
C. a(iii),b(i),c(iv),d(ii)
D. a(i),b(iv),c(ii),d(iii)

Answer

To solve the problem of matching the items in Column-I with those in Column-II, we will analyze each item in Column-I and find the corresponding value in Column-II.

### Step-by-Step Solution:

1. **Binding energy per nucleon for \(^{56}Fe\)**:
- The binding energy per nucleon for iron-56 is known to be approximately 8.75 MeV. This indicates how tightly the nucleons are bound within the nucleus.
- **Match**: (a) with (iii) - 8.75 MeV.

2. **Energy of alpha-particle in Geiger-Marsden experiment**:
- The energy of the alpha particles used in the Geiger-Marsden experiment is approximately 5.5 MeV. This experiment was crucial in understanding the structure of the atom.
- **Match**: (b) with (i) - 5.5 MeV.

3. **Energy of photon of visible light**:
- The energy of a photon in the visible spectrum is typically around 2 eV. This energy corresponds to the light that is visible to the human eye.
- **Match**: (c) with (iv) - 2 eV.

4. **Energy released in fission of a uranium nucleus**:
- The energy released during the fission of a uranium nucleus is significantly high, typically around 200 MeV. This is the energy released when a heavy nucleus splits into smaller nuclei.
- **Match**: (d) with (ii) - 200 MeV.

### Final Matches:
- (a) → (iii) : Binding energy per nucleon for \(^{56}Fe\) → 8.75 MeV
- (b) → (i) : Energy of alpha-particle in Geiger-Marsden experiment → 5.5 MeV
- (c) → (iv) : Energy of photon of visible light → 2 eV
- (d) → (ii) : Energy released in fission of a uranium nucleus → 200 MeV

### Conclusion:
The correct matches are:
- (a) → (iii)
- (b) → (i)
- (c) → (iv)
- (d) → (ii)