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we know that relation in semiconductor is

conductivity proportional to temp

especially in extrinsic semiconductor holes or electrons are charge carriers .

in extrinsic semiconductor when temp is increased then the energy of charge carriers also increases.

now kinetic energy equall to [ (1/2) m v^2 ]

in this M is constant

this implies energy prop to square of velocity

therefore if conductivity of charge carriers increases while increasing of temperature

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