Statement 1: In process of photoelectric emission, all emitted electrons do not have same kinetic energy.
Statement 2: If radiation falling on photosensitive surface of a metal consists of different wavelengths, then energy acquired by electrons absorbing photons of different wavelengths shall be different.

Options

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

Explanation

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

### Step-by-Step Solution:

1. **Understanding Photoelectric Emission**:
- In the photoelectric effect, when light (photons) strikes a metal surface, it can cause the emission of electrons from that surface. The energy of the incoming photons is crucial in determining whether electrons are emitted and with what kinetic energy.

2. **Statement 1 Analysis**:
- **Statement 1**: "In the process of photoelectric emission, all emitted electrons do not have the same kinetic energy."
- This statement is true. Electrons emitted from different depths within the metal will have different kinetic energies. Electrons closer to the surface (top surface) will have higher kinetic energy compared to those emitted from deeper layers due to the additional energy required to escape from the metal's interior.

3. **Statement 2 Analysis**:
- **Statement 2**: "If radiation falling on the photosensitive surface of a metal consists of different wavelengths, then the energy acquired by electrons absorbing photons of different wavelengths shall be different."
- This statement is also true. The energy of a photon is given by the equation \(E = \frac{hc}{\lambda}\), where \(h\) is Planck's constant, \(c\) is the speed of light, and \(\lambda\) is the wavelength. Different wavelengths correspond to different energies, leading to varying kinetic energies of emitted electrons.

4. **Conclusion on Statements**:
- Both statements are true. However, the reason for the differences in kinetic energy in Statement 1 is due to the depth from which the electrons are emitted, while in Statement 2, it is due to the varying energies of photons based on their wavelengths. Therefore, while both statements are correct, Statement 2 does not serve as a correct explanation for Statement 1.

5. **Final Answer**:
- The correct option is that both statements are true, but Statement 2 is not a correct explanation of Statement 1.