Semiconductor Conductivity and Temperature – Rankers Physics

Properties of Semiconductors: Practice Problem & Solution

Assertion (A): Conductivity of intrinsic semiconductor is less as compared to extrinsic semiconductor. Reason (R): With increase in temperature conductivity of semiconductor increases.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Properties of Semiconductors. Understanding the underlying formula is key to arriving at the correct answer below:

Concept: Semiconductor conductivity.
Intrinsic semiconductors have fewer free charge carriers than extrinsic (doped) semiconductors, so (A) is true. Increasing temperature generates more carriers in semiconductors, increasing conductivity, so (R) is true. However, (R) describes temperature dependence, not the difference between intrinsic and extrinsic. Thus, (R) is not the correct explanation for (A).

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