Statement-1:An electron cannot be observed without changing its momentum by an indeterminate amount.
Statement-2:Momentum of an electron is `h/lambda` where `lambda` is its wavelength

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 , Statement-2 is False
D. d.Statement-1 is False, Statement-2 is True

Answer

To analyze the statements and arrive at a conclusion, let's break down the information provided in each statement step by step.

### Step 1: Analyze Statement 1
**Statement 1:** "An electron cannot be observed without changing its momentum by an indeterminate amount."

- **Explanation:** This statement is based on the principles of quantum mechanics, specifically the Heisenberg Uncertainty Principle. According to this principle, the more precisely we try to measure the position of a particle (like an electron), the less precisely we can know its momentum, and vice versa. Therefore, when we attempt to observe an electron, we inevitably disturb its momentum.

### Step 2: Analyze Statement 2
**Statement 2:** "Momentum of an electron is h/lambda where lambda is its wavelength."

- **Explanation:** This statement refers to de Broglie's hypothesis, which states that every moving particle has an associated wavelength (λ). The momentum (p) of a particle is given by the formula:
\[ p = \frac{h}{\lambda} \]
where \( h \) is Planck's constant. This relationship shows that the momentum of an electron can be expressed in terms of its wavelength.

### Step 3: Determine the Truth of Each Statement
- **Truth of Statement 1:** True. An electron cannot be observed without changing its momentum due to the uncertainty principle.
- **Truth of Statement 2:** True. The momentum of an electron is indeed given by \( p = \frac{h}{\lambda} \).

### Step 4: Evaluate the Relationship Between the Statements
- **Explanation of Relationship:** While both statements are true, Statement 2 does not provide a correct explanation for Statement 1. Statement 1 discusses the fundamental limitation in observing particles due to the uncertainty principle, while Statement 2 describes a formula for calculating momentum.

### Conclusion
- **Final Answer:** Statement 1 is true, Statement 2 is true, but Statement 2 is not a correct explanation for Statement 1.