According to the Einstein relation, for any semiconductor, the ratio of diffusion constant to mobility of carriers 

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UPSC ESE (Prelims) Electronics and Telecommunication Engineering 19 Feb 2023 Official Paper
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  1. depends upon the temperature of the semiconductor
  2. depends upon the type of the semiconductor
  3. varies with lifetime of the semiconductor
  4. increases the velocity of the charge carriers

Answer (Detailed Solution Below)

Option 1 : depends upon the temperature of the semiconductor
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The correct option is 

Concept:

According to Einstein's relation, the ratio of Diffusion constant to mobility remains constant, at fixed

Temperature, i.e.

\(\frac{{{D_n}}}{{{\mu _n}}} = \frac{{{D_p}}}{{{\mu _p}}} = {V_T} = \frac{{kT}}{q} = \frac{T}{{11,600}}\)

VT – Temperature equivalent

K – Boltzmann's constant

T – Temperature in Kelvin

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