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Question

The mobility of charge carriers increases with


A

Increase in the average collision time

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B

Increase in the electric field

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C

Increase in the mass of the charge carriers

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D

Decrease in the charge of the mobile carriers

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Solution

The correct option is A

Increase in the average collision time


Explanation for correct option:

Mobility:

  1. It is defined as the net average velocity with which the free-electrons move toward the positive end of a conductor under the influence of an applied electric field.
  2. Mobility is given as,

μ=qtm

Where q is the charge of the carrier, t is the average collision time and m is mass of the charge carrier.

3. From the equation of mobility, it is clear that,

μt since charge and mass are constants

i.e., the mobility of the charge carrier is directly proportional to the increase in average collision time.

Hence, option (A) is the correct option.


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