A wire is suspended from the ceiling and stretched under the action of weight F suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.

Options

A. Tensile stress at any cross-section A of the wire is F/A
B. Tensile stress at any cross-section is zero
C. Tensile stress at any cross-section A of the wire is 2F/A
D. Tensile at any cross-section A of the wire is F

Explanation

To solve the problem, we need to analyze the situation of a wire suspended from the ceiling with a weight \( F \) acting on it. We will determine the tensile force and tensile stress in the wire.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- A wire is suspended vertically from the ceiling.
- A weight \( F \) is attached to the free end of the wire.
- The wire experiences tension due to the weight.

**Hint**: Visualize the scenario with a diagram showing the wire, ceiling, and weight.

2. **Identifying Forces**:
- The weight \( F \) exerts a downward force on the wire.
- The ceiling exerts an upward force (tension \( T \)) on the wire.
- Since the wire is in equilibrium, the tension in the wire must equal the weight:
\[ T = F \]

**Hint**: Remember that in equilibrium, the sum of forces acting on the wire must be zero.

3. **Defining Tensile Force**:
- The tensile force in the wire is the force that causes elongation.
- In this case, the tensile force \( T \) is equal to the weight \( F \):
\[ \text{Tensile Force} = T = F \]

**Hint**: Recognize that the tensile force is the same throughout the wire since it is massless.

4. **Calculating Tensile Stress**:
- Tensile stress is defined as the tensile force per unit area of cross-section:
\[ \text{Tensile Stress} = \frac{\text{Tensile Force}}{\text{Area}} = \frac{F}{A} \]
- Here, \( A \) is the cross-sectional area of the wire.

**Hint**: Recall the formula for stress, which is force divided by area.

5. **Conclusion**:
- The tensile force in the wire is \( F \).
- The tensile stress at any cross-section of the wire is \( \frac{F}{A} \).

### Final Answers:
- **Tensile Force**: \( F \)
- **Tensile Stress**: \( \frac{F}{A} \)