STATEMENT-1: The kinetic energy of photo-electrons increases with increase in frequency of incident light were `vgtv_(o).`
STATEMENT-2: Whenever intenksity of light is increased the number of photo-electron ejected always increases.

Options

A. If both the statement are TRUE and STATEMENT-2 is the correct explanation of STATEMENT-1
B. If both the statements are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1
C. If STATEMENT-1 is TRUE and STATEMENT-2 is FALSE
D. If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Answer

To analyze the statements given in the question, we will break down each statement and evaluate its correctness based on the principles of the photoelectric effect.

### Step-by-Step Solution:

1. **Understanding Statement 1:**
- **Statement 1:** The kinetic energy of photo-electrons increases with an increase in frequency of incident light where \( \nu > \nu_0 \).
- According to the photoelectric effect, when light of frequency \( \nu \) hits a metal surface, photo-electrons are ejected if the frequency is greater than the threshold frequency \( \nu_0 \). The kinetic energy (KE) of the ejected electrons can be expressed as:
\[ KE = h\nu - h\nu_0 \]
where \( h \) is Planck's constant.
- As the frequency \( \nu \) increases, the term \( h\nu \) increases, while \( h\nu_0 \) remains constant (as \( \nu_0 \) is a characteristic of the metal). Therefore, the kinetic energy of the photo-electrons indeed increases with the increase in frequency.

**Conclusion for Statement 1:** This statement is **True**.

2. **Understanding Statement 2:**
- **Statement 2:** Whenever the intensity of light is increased, the number of photo-electrons ejected always increases.
- The intensity of light is related to the number of photons striking the surface per unit time. If the frequency of the incident light is greater than the threshold frequency \( \nu_0 \), increasing the intensity (which means more photons) will lead to more photo-electrons being ejected.
- However, this statement claims that the number of photo-electrons "always" increases with intensity. This is misleading because if the frequency is below the threshold frequency, increasing intensity will not result in any photo-electrons being ejected. Additionally, after a certain point, even with increased intensity, the number of ejected electrons may reach a saturation point where it does not increase further.

**Conclusion for Statement 2:** This statement is **False**.

### Final Evaluation:
- **Statement 1:** True
- **Statement 2:** False

Thus, the correct answer is that Statement 1 is true and Statement 2 is false.