Resistance of a conductor increases with the rise of temperature, because

Options

A. the collisions of the conducting electrons with the electrons increases
B. the collisions of the conducting electrons with the lattice consisting of the ions of the metal increase
C. the number of conduction electrons decrease
D. the number of conduction electrons increases

Answer

To solve the question regarding why the resistance of a conductor increases with the rise in temperature, we can break it down into a series of logical steps:

### Step-by-Step Solution:

1. **Understanding Resistance**:
- Resistance (R) in a conductor is a measure of how much the conductor opposes the flow of electric current. It is influenced by the material properties, length, cross-sectional area, and temperature of the conductor.

2. **Effect of Temperature on Conductors**:
- As the temperature of a conductor increases, the energy of the atoms in the conductor also increases. This is because temperature is a measure of the average kinetic energy of the particles in a substance.

3. **Increased Atomic Vibration**:
- With an increase in temperature, the atoms in the conductor vibrate more vigorously. This increased vibration leads to a higher frequency of collisions between the conduction electrons (which carry the current) and the vibrating atoms of the metal.

4. **Collisions and Resistance**:
- The increased collisions between the conduction electrons and the vibrating metal atoms impede the flow of electrons. This means that the electrons have to work harder to move through the conductor, which effectively increases the resistance.

5. **Conclusion**:
- Therefore, the resistance of a conductor increases with the rise in temperature due to the increased collisions between the conduction electrons and the lattice of vibrating metal atoms.

### Final Answer:
The resistance of a conductor increases with the rise in temperature because the collision of conducting electrons with the lattice consisting of ions of metal increases.