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MHT CET202523 Apr 2025Evening ShiftPhysicsCurrent ElectricityActual

By increasing the temperature, the specific resistance of a conductor and a semiconductor respectively

Options

  1. Aincreases , increases.
  2. Bdecreases , decreases.
  3. Cincreases , decreases.
  4. 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

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