A wire is stretched under a force. If the wire suddenly snaps, the temperature of the wire

Options

A. remains the same
B. decreases
C. increases
D. first decreases then increases

Explanation

To solve the problem of what happens to the temperature of a wire when it is stretched under a force and then suddenly snaps, we can follow these steps:

### Step 1: Understand the Concept of Work Done
When a wire is stretched, work is done on the wire. This work is related to the force applied and the elongation of the wire. The formula for work done (W) can be expressed as:
\[ W = F \cdot d \]
where \( F \) is the force applied and \( d \) is the elongation of the wire.

**Hint:** Remember that work done on an object can lead to changes in energy.

### Step 2: Energy Storage in the Wire
The work done on the wire is stored as potential energy in the form of elastic potential energy. When the wire is stretched, this energy is stored in the material of the wire.

**Hint:** Think about how energy can be stored in materials when they are deformed.

### Step 3: Conversion of Energy to Heat
When the wire suddenly snaps, the stored elastic potential energy is released. This energy does not just disappear; it is converted into heat energy. The conversion of this energy results in an increase in the temperature of the wire.

**Hint:** Consider how energy transformations occur in physical processes, especially when materials undergo sudden changes.

### Step 4: Conclusion
Since the work done on the wire is converted into heat energy upon snapping, we can conclude that the temperature of the wire increases when it suddenly snaps.

**Final Answer:** The temperature of the wire increases when it suddenly snaps.