Statement 1: Though light of a single frequency (monochromatic light) is incident on a metal, the kinetic energies of emitted photoelectrons are not equal. Statement 2: The energy of electrons just after they absorb photons incident on metal surface may be lost in collision with other atoms in the metal before the electron is ejected out of the metal.

Options

A. Statement-1 is true, Statement-2: is true, Statement-2 is a correct explanation for Statement-1.
B. Statement-1 is true, Statement-2: is true, Statement-2 is NOT a correct explanation for Statement-1.
C. Statement-1 is true but statement-2 is false
D. Statement-1 is false, Statement-2 is true

Explanation

To analyze the given statements regarding the photoelectric effect, we can break down the solution into clear steps:

### Step-by-Step Solution:

1. **Understanding the Photoelectric Effect**:
- The photoelectric effect occurs when light (photons) hits a metal surface, causing the emission of electrons. The energy of the incoming photons must be greater than the work function of the metal for electrons to be emitted.

2. **Analyzing Statement 1**:
- Statement 1 claims that even when monochromatic light (light of a single frequency) is incident on a metal, the kinetic energies of the emitted photoelectrons are not equal.
- This is true because while all emitted electrons absorb photons of the same energy (E = hν), they can lose energy through collisions with other atoms in the metal before they are emitted.

3. **Analyzing Statement 2**:
- Statement 2 states that the energy of the electrons, just after they absorb the incident photons, may be lost in collisions with other atoms before they are ejected from the metal.
- This statement is also true. The energy absorbed by the electrons can be partially lost due to interactions with other electrons or atoms in the metal, which affects their final kinetic energy.

4. **Conclusion**:
- Both statements are correct. Statement 2 provides a valid explanation for Statement 1. The differences in kinetic energy of the emitted electrons arise from energy loss during collisions before ejection.

5. **Final Answer**:
- Therefore, the correct answer is that both statements are true, and Statement 2 is the correct explanation for Statement 1.