According to Einstein’s relationship for a semiconductor, the ratio of the diffusion constant to the mobility of the charge carriers is

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  1. Variable and is twice the volt equivalent of the temperature
  2. Constant and is equal to the volt equivalent of the temperature
  3. Equal to two and is twice the volt equivalent of the temperature
  4. Equal to one and is equal to the volt equivalent of the temperature.

Answer (Detailed Solution Below)

Option 2 : Constant and is equal to the volt equivalent of the temperature
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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 – Boltzman’s constant

T – Temperature in Kelvin

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