A piece of Aluminium and Germanium each are cooled from T1 k to T2 k. ...
Explanation:
When a metal is cooled, its atoms vibrate less due to decreased thermal energy. This results in a decreased number of collisions between the electrons and atoms, which leads to a decreased resistance. However, for semiconductors like germanium, the opposite occurs.
Aluminium:
When cooled, the resistance of Aluminium decreases due to fewer collisions between electrons and atoms. This is because the number of free electrons in Aluminium remains constant, but their mean free path increases due to reduced atomic vibrations, reducing the resistance.
Germanium:
When cooled, the resistance of Germanium increases due to fewer collisions between electrons and impurities. This is because, in Germanium, electrical conductivity is due to the presence of impurities, which increases the number of free electrons. When the temperature is decreased, the number of impurities decreases, causing the resistance to increase.
Conclusion:
Therefore, the correct answer is option 'C.' Aluminium decreases and that of Germanium increases.
A piece of Aluminium and Germanium each are cooled from T1 k to T2 k. ...
Explanation:
Thermal Coefficient of Resistance:
- The resistance of a material changes with temperature due to the temperature coefficient of resistance.
- For most metals like Aluminum, the resistance decreases as temperature increases.
- For semiconductors like Germanium, the resistance increases as temperature increases.
Cooling from T1 to T2:
- When both Aluminum and Germanium are cooled from T1 to T2, their resistances will change according to their respective temperature coefficients.
- Aluminum's resistance will decrease as it is a metal, and its resistance decreases with decreasing temperature.
- Germanium's resistance will increase as it is a semiconductor, and its resistance increases with decreasing temperature.
Conclusion:
- Therefore, the correct option is C: Aluminum decreases and that of Germanium increases.
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.