Assertion : Wavelength associated with a moving particle becomes double if its velocity is doubled.
Reason : Wavelength associated with a moving object is inversely proportional to its velocity.

Options

A. Assertion and reason both are correct statements and reason is correct explanation for assertion.
B. Assertion and reason both are correct statements but reason is not correct explanation for assertion.
C. Assertion is correct statement but reason is wrong statement.
D. Assertion is wrong statement but reason is correct statement.

Answer

To solve the given question, we need to analyze the assertion and the reason provided, using De Broglie's equation to understand the relationship between wavelength and velocity.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that "the wavelength associated with a moving particle becomes double if its velocity is doubled."
- We need to evaluate if this statement is true or false.

2. **Understanding the Reason**:
- The reason states that "the wavelength associated with a moving object is inversely proportional to its velocity."
- We need to check if this statement is true.

3. **Using De Broglie's Equation**:
- According to De Broglie's hypothesis, the wavelength (λ) associated with a moving particle is given by the formula:
\[ \lambda = \frac{h}{mv} \]
where \( h \) is Planck's constant, \( m \) is the mass of the particle, and \( v \) is its velocity.

4. **Analyzing the Wavelength with Changing Velocity**:
- If we denote the initial velocity as \( v \) and the initial wavelength as \( \lambda_1 \):
\[ \lambda_1 = \frac{h}{mv} \]
- If the velocity is doubled (i.e., \( v \) becomes \( 2v \)), the new wavelength \( \lambda_2 \) will be:
\[ \lambda_2 = \frac{h}{m(2v)} = \frac{h}{2mv} = \frac{1}{2} \lambda_1 \]
- This shows that when the velocity is doubled, the wavelength is halved, not doubled.

5. **Conclusion on Assertion and Reason**:
- Since the assertion claims that the wavelength doubles when the velocity doubles, and our calculation shows that it actually halves, the assertion is **false**.
- The reason states that the wavelength is inversely proportional to the velocity, which is indeed true based on the derived relationship.

6. **Final Evaluation**:
- Therefore, the assertion is **false** and the reason is **true**.

### Summary:
- **Assertion**: False
- **Reason**: True