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The conductivity of a semiconductor incr...

The conductivity of a semiconductor increases with increase in temperature because

A

number density of free current carriers increases

B

relaxation time increases.

C

both number density of carriers and relaxation time increase

D

number density of current carriers increases, relaxation time decreases but effect of decrease in relaxation time is much less than increase in number density

Text Solution

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The correct Answer is:
D
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Why does the electrical conductivity of semiconductors increase with rise in temperature ?

Statement I : Electrical conductivity of semiconductors increases with rise in temperature. Statement II : There is a small energy gap between conduction band and valence band.

Knowledge Check

  • Assertion (A) : The electrical conductivity of a semiconductor increases with increase in temperature. Reason (R ) : With increase in temperature, large number of electrons from the valence band can jump to the conduction band.

    A
    If both `(A)` and `(R)` are correct, and `(R)` is the correct explanation of `(A)`
    B
    If both `(A)` and `(R)` are correct, but `(R)` is not the correct explanation of `(A)`
    C
    If `(A)` is correct, but `(R)` is incorrect.
    D
    If both `(A)` is incorrect, but `(R)` is correct.
  • Statement 1: Conductivity of semiconductor increases with increase in temperature. Statement 2: Forbidden energy gap is highest for semiconductors.

    A
    Both Statement-1 and Statement-2 are true, and Statement-2 is the correct explanation of Statement-1.
    B
    Both Statement-1 and Statement-2 are true but Statement-2 is not the correct explanation of Statement -1.
    C
    Statement-1 is true but Statement-2 is false.
    D
    Statement-1 is false but Statement-2 is true.
  • Statement 1: Conductivity of semiconductors decreases with increase in temperature Statement-2: More electron goes from valance band to conduction band with increase in temperature.

    A
    Both Statement-1 and Statement-2 are true, and Statement-2 is the correct explanation of Statement-1.
    B
    Both Statement-1 and Statement-2 are true but Statement-2 is not the correct explanation of Statement-1.
    C
    Statement-1 is true but Statement-2 is false.
    D
    Statement-1 is false but Statement-2 is true.
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    Read the following statements carefully : Y : The resistivity of a semiconductor decreases with increase of temperature. Z : In a conducing solid, the rate of collisions between free electrons and ions increase with increase of temperature. Select the correct statement (s) from the followin :