Some questions (Assertion-Reason Type) are given below. Each question contains Statement I (Assertion) and statement II(reason). Each question has 4 choices (a),(b),(c ) and (d) out of which only one is correct. So select the correct choise.
a. Statement I is True, Statement II is True,Statement II is a correct explanation for Statement I
b. Statement I is True, Statement II is True, Statement II is NOT a correct ecplanation for Statement I
c. Statement I is True, Statement II is False .
d. Statement I is false, Statement II is True.
Statement:I Though light of a single frequency (monochromatic light) is incident on a metal, the energies of emitted photoelectrons are different.
Statement II: The energy of electrons just after they absorb photons incident on the metal surface may be lost in collision with other atoms in the metal before the electron is ejected out of the metal.

Explanation

To solve the assertion-reason type question, we need to analyze both statements carefully.

### Step 1: Analyze Statement I
**Statement I:** "Though light of a single frequency (monochromatic light) is incident on a metal, the energies of emitted photoelectrons are different."

- When monochromatic light strikes a metal surface, it can indeed cause the emission of photoelectrons. However, the energy of the emitted photoelectrons can vary due to several factors, such as:
- The initial energy of the electrons in the metal.
- The energy lost due to collisions with other atoms in the metal before the electrons are emitted.

Thus, Statement I is **True**.

### Step 2: Analyze Statement II
**Statement II:** "The energy of electrons just after they absorb photons incident on the metal surface may be lost in collision with other atoms in the metal before the electron is ejected out of the metal."

- This statement explains that when electrons absorb energy from incident photons, they may lose some of that energy through collisions with other atoms in the metal. This loss of energy can occur before the electrons are ejected, leading to a range of kinetic energies for the emitted photoelectrons.

Thus, Statement II is also **True**.

### Step 3: Determine the Relationship Between the Two Statements
- Statement II provides a reason for the observation made in Statement I. It explains why the emitted photoelectrons have different energies despite the incident light being monochromatic.

### Conclusion
Both statements are true, and Statement II correctly explains Statement I. Therefore, the correct choice is:

**a. Statement I is True, Statement II is True, Statement II is a correct explanation for Statement I.**

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