Assertion: A spring has potential energy , both when it is compressed or stretched.
Reason: In compressing or stretching, work is done on the spring against the restoring force.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true not but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false
D. If both assertion and reason are false.

Explanation

To solve the assertion-reason question, we need to analyze both the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that "A spring has potential energy, both when it is compressed or stretched."

**Explanation**:
- When a spring is either compressed or stretched, it stores energy due to its deformation. This stored energy is known as elastic potential energy.
- The formula for the potential energy (PE) stored in a spring is given by:
\[ PE = \frac{1}{2} k x^2 \]
where \( k \) is the spring constant and \( x \) is the displacement from the equilibrium position (either compressed or stretched).

### Step 2: Understand the Reason
The reason states that "In compressing or stretching, work is done on the spring against the restoring force."

**Explanation**:
- When a spring is compressed or stretched, an external force is applied to change its shape. This force must overcome the spring's restoring force, which acts in the opposite direction.
- The work done on the spring is what causes it to store potential energy. The restoring force attempts to return the spring to its original shape, and the energy is stored as potential energy when the spring is deformed.

### Step 3: Evaluate the Truth of Both Statements
- **Assertion**: True. A spring does have potential energy when compressed or stretched.
- **Reason**: True. Work is indeed done against the restoring force when compressing or stretching the spring.

### Step 4: Determine the Relationship
- The reason correctly explains why the assertion is true, as the work done against the restoring force is what leads to the potential energy stored in the spring.

### Conclusion
Both the assertion and reason are true, and the reason is the correct explanation of the assertion. Thus, the correct option is:

**Option 1**: Both assertion and reason are true, and reason is the correct explanation of assertion.

---