Statement-1 : Work function of a metal is `8` eV. Two photons each having energy `5` eV can't eject the electron from the metal.
and
Statement-2 : More than one photon can't collide simultaneously with an electron.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-2
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-2
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

Answer

To solve the given problem, we need to analyze both statements provided in the question.

### Step-by-step Solution:

1. **Understanding Work Function**:
- The work function of a metal is the minimum energy required to eject an electron from the surface of that metal. In this case, the work function is given as `8 eV`.

2. **Photon Energy**:
- Each photon has an energy of `5 eV`. Since we have two photons, the total energy available from these two photons is:
\[ \text{Total Energy} = 5 \, \text{eV} + 5 \, \text{eV} = 10 \, \text{eV} \]
- However, it is important to note that in the photoelectric effect, each photon interacts with an electron individually.

3. **Comparison of Photon Energy with Work Function**:
- For an electron to be ejected from the metal, the energy of a single photon must be equal to or greater than the work function of the metal. Here, the energy of each photon is `5 eV`, which is less than the work function `8 eV`.
- Therefore, even though the total energy from two photons is `10 eV`, each photon does not have enough energy to eject the electron.

4. **Conclusion for Statement 1**:
- Since the energy of each photon is less than the work function, **Statement 1 is correct**: Two photons each having energy `5 eV` can't eject the electron from the metal.

5. **Understanding Statement 2**:
- Statement 2 claims that more than one photon cannot collide simultaneously with an electron. This is a fundamental principle of the photoelectric effect, where only one photon can be absorbed by one electron at a time.
- If an electron were to absorb two photons simultaneously, it would require a different interaction mechanism, which is not described in the standard photoelectric effect.

6. **Conclusion for Statement 2**:
- Therefore, **Statement 2 is also correct**: More than one photon cannot collide simultaneously with an electron.

7. **Final Evaluation**:
- Both statements are correct, and Statement 2 provides the correct explanation for Statement 1. Thus, the correct option is that both statements are true and Statement 2 is the correct explanation of Statement 1.

### Final Answer:
Both Statement 1 and Statement 2 are correct, and Statement 2 is the correct explanation of Statement 1.

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