Statement-1: if white light is used in YDSE, then the central bright fringe will be white.
Statement-2: In case of white light used in YDSE all the wavelengths produce their zero order maxima at the same position.

Options

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

Answer

To analyze the statements provided in the question, we will break down the concepts involved in Young's Double Slit Experiment (YDSE) when white light is used.

### Step-by-Step Solution:

1. **Understanding the Central Bright Fringe**:
- In YDSE, the central bright fringe occurs where the path difference between the two waves arriving from the slits is zero. This means that the waves are in phase at this point.

**Hint**: Recall that constructive interference occurs when the path difference is zero or an integer multiple of the wavelength.

2. **Path Difference and Phase Difference**:
- Since the path difference is zero at the central fringe, the phase difference is also zero. This leads to maximum intensity at this point.

**Hint**: Remember that phase difference is related to path difference by the equation: \( \Delta \phi = \frac{2\pi}{\lambda} \Delta x \).

3. **White Light and Its Wavelengths**:
- White light consists of multiple wavelengths (colors). Each wavelength will produce its own interference pattern, but at the central fringe, all wavelengths will overlap because they all have a path difference of zero.

**Hint**: Consider how different colors of light interfere and how they contribute to the overall appearance of the central fringe.

4. **Formation of Zero Order Maxima**:
- At the central position, since all wavelengths have a path difference of zero, they all produce their zero order maxima at the same location. This means that the central fringe will be white because all colors of light are present at this point.

**Hint**: Think about how the superposition of different colors results in white light.

5. **Conclusion on Statements**:
- **Statement 1** is true: The central bright fringe will indeed be white when white light is used.
- **Statement 2** is also true: All wavelengths produce their zero order maxima at the same position.

**Hint**: Verify the relationship between the statements and their explanations to confirm their validity.

### Final Conclusion:
Both statements are true, and Statement 2 correctly explains Statement 1. Therefore, the answer is that both statements are true, with Statement 2 being the correct explanation for Statement 1.