MHT CET202523 Apr 2025Evening ShiftPhysicsCurrent ElectricityActual
By increasing the temperature, the specific resistance of a conductor and a semiconductor respectively
Options
- Aincreases , increases.
- Bdecreases , decreases.
- Cincreases , decreases.
- Ddecreases , increases.
Correct answer
C. increases , decreases.
Step-by-step solution
The resistivity ρ of a material is given by ρ = m ne^2 , where m represents electron mass, n the charge carrier density, e the electron charge, and the relaxation time. For conductors , n remains nearly constant with temperature. Increased thermal agitation reduces due to more frequent electron-lattice collisions. Since decreases while n is stable, resistivity increases. For semiconductors , n grows exponentially with temperature as more electrons enter the conduction band. Although may decrease slightly due to sca