Statement I: While calculating intensities in interference pattern, we can add the intensities of the individual waves.
Statement II: Principle of superposition is valid for liner waves.

Options

A. Statement I is True, statement II is True, Statement II is a correct explanation for Statement I.
B. Statement I is Ture, Statement II is Ture, Statement II is NOT a correct explanation for Statement I.
C. Statement I is True, Statement II is False.
D. Statement I is False, Statement II is True.

Explanation

To analyze the given statements, we will break down the reasoning step by step:

### Step 1: Understanding Statement II
- **Statement II** states that the principle of superposition is valid for linear waves.
- The principle of superposition states that when two or more waves overlap, the resultant displacement at any point is the sum of the displacements of the individual waves.
- This principle holds true only for linear waves, where the relationship between the amplitude and the resultant wave is linear.

**Conclusion for Step 1**: Statement II is correct.

### Step 2: Understanding Statement I
- **Statement I** claims that while calculating intensities in an interference pattern, we can add the intensities of the individual waves.
- Intensity (I) is defined as proportional to the square of the amplitude (A) of the wave: \( I \propto A^2 \).
- If we have two waves with amplitudes \( A_1 \) and \( A_2 \), their intensities would be \( I_1 \propto A_1^2 \) and \( I_2 \propto A_2^2 \).
- When we add the amplitudes of the two waves (assuming they interfere constructively), the resultant amplitude \( A_R \) is given by \( A_R = A_1 + A_2 \).
- The intensity of the resultant wave is then \( I_R \propto (A_1 + A_2)^2 \), which expands to \( I_R \propto A_1^2 + A_2^2 + 2A_1A_2 \).
- This shows that we cannot simply add the intensities \( I_1 + I_2 \) because the cross term \( 2A_1A_2 \) is present in the resultant intensity.

**Conclusion for Step 2**: Statement I is incorrect.

### Final Conclusion
- **Statement I** is incorrect because intensities cannot be added directly; they depend on the square of the amplitudes.
- **Statement II** is correct as the principle of superposition applies only to linear waves.

### Summary
- Statement I: Incorrect
- Statement II: Correct