Assertion : The resistivity of a semiconductor increases with temperature. Reason : The atoms of a…

Assertion : The resistivity of a semiconductor increases with temperature. Reason : The atoms of a semiconductor vibrate with larger amplitude at higher temperatures thereby increasing its resistivity.
  1. if both assertion and reason are true and the reason is the correct explanation of the assertion
  2. if both assertion and reason are true and the reason is not the correct explanation of the assertion
  3. if assertion is true but reason is false
  4. if both assertion and reason are false statements.

Solution

With the increase of temperature, the average energy exchanged in a collision increases and so more valence electrons can cross the energy gap, thereby increasing the electron-hole pairs. As in a semiconductor, conduction occurs mainly through electron-hole pairs, so conductivity increases with increase of temperature. Which in turn implies that the resistivity of a semiconductor decreases with rise in temperature.

Asked in: NEET 2008 (Mains)

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