Answer :

We know that

Where,

E=electric field

l=lenght of the conductor

And force on an electron is given by,

where ,e=charge on electron

V=electric potential

We know that

Equating the above two equations we get,

Using 1^{st} equation of motion

where = drift velocity

Here,u=0

t=relaxation time

Since e , V , m , l are constant.

Increasing the temperature will increase the kinetic energy of electrons. As kinetic energy will increase the collisions will increase and hence relaxation time will decrease and since relaxation time is directly proportional to drift velocity hence drift velocity will also decrease.

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