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On increasing the temperature of a conductor, its resistance increases because
  • a)
    Relaxation time decreases
  • b)
    Mass of the electrons increases
  • c)
    Electron density decreases
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
On increasing the temperature of a conductor, its resistance increases...
Explanation:
When the temperature of a conductor is increased, its resistance also increases due to the following reasons:

1. Increase in the vibration of atoms:

- The temperature of the conductor increases, the vibration of the atoms also increases.
- These vibrations cause more collisions between the electrons and atoms, which hinder the flow of electrons.
- Hence, the resistance of the conductor increases.

2. Decrease in the relaxation time:

- The increase in temperature causes a decrease in the relaxation time.
- Relaxation time is the time taken by an electron to collide with an atom and then regain its original direction and speed.
- With the increase in temperature, the atoms vibrate with higher energy, which increases the frequency of collisions between the electrons and the atoms.
- As a result, the relaxation time decreases, which increases the resistance of the conductor.

3. Increase in the number of free electrons:

- When the temperature of a conductor is increased, some electrons gain enough energy to break free from their atoms and become free electrons.
- These free electrons create more collisions with other electrons and atoms, which increase the resistance of the conductor.

4. Increase in the lattice vibrations:

- At high temperatures, the lattice vibrations increase due to the increase in thermal energy.
- These vibrations create more collisions between the electrons and the lattice vibrations, which increase the resistance of the conductor.

Conclusion:
Hence, option 'A' is the correct answer as the relaxation time decreases due to the increase in temperature, which increases the resistance of the conductor.
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On increasing the temperature of a conductor, its resistance increases becausea)Relaxation time decreasesb)Mass of the electrons increasesc)Electron density decreasesd)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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