Assertion: For a conductor resistivity increases with increase in temperature. Reason: Since ρ=(m/n e2 τ), when temperature increases the random motion of free electrons increases and vibration of ions increases which decreases τ.

Question

Assertion: For a conductor resistivity increases with increase in temperature. Reason: Since ρ=(m/n e2 τ), when temperature increases the random motion of free electrons increases and vibration of ions increases which decreases τ. (A) Ifboth Assertion and Reason are correct and the Reason is a correct explanation of the Assertion. (B) Ifboth Assertion and Reason are correct but Reason is not a correct explanation of the Assertion. (C) If the Assertion is correct but Reason is incorrect. (D) If the Assertion is incorrect and Reason is correct.

Tardigrade Admin · Accepted Answer

When temperature increases the random motion of electrons and vibration of ions increases which results in more frequent collisions of electrons with the ions. Due to this the average time between the successive collisions, denoted by τ, decreases which increases ρ.

Q. Assertion: For a conductor resistivity increases with increase in temperature.
Reason: Since $ρ = \frac{m}{n e ^{2} τ}$ , when temperature increases the random motion of free electrons increases and vibration of ions increases which decreases $τ$ .

Ifboth Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

Ifboth Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

If the Assertion is correct but Reason is incorrect.

If the Assertion is incorrect and Reason is correct.

When temperature increases the random motion of electrons and vibration of ions increases which results in more frequent collisions of electrons with the ions. Due to this the average time between the successive collisions, denoted by $τ$ , decreases which increases $ρ$ .

Q. Assertion: For a conductor resistivity increases with increase in temperature. Reason: Since ρ=ne2τm​, when temperature increases the random motion of free electrons increases and vibration of ions increases which decreases τ.