(A) The drift velocity of electrons decreases with the increase in… | JEE Main 2022 (27 Jul, Shift 2)

Q14JEE Main 2022 · 27 JUL · SHIFT 2Easy

Electric Current, Drift Velocity & Current Density

(A) The drift velocity of electrons decreases with the increase in the temperature of conductor. (B) The drift velocity is inversely proportional to the area of cross-section of given conductor. (C) The drift velocity does not depend on the applied potential difference to the conductor. (D) The drift velocity of electron is inversely proportional to the length of the conductor. (E) The drift velocity increases with the increase in the temperature of conductor. Choose the correct answer from the options given below:

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Answer: (b)

$v_d = \dfrac{eE\tau}{m} = \dfrac{eV\tau}{ml}$
(A) True: $\tau$ falls as temperature rises, so $v_d$ decreases. (E) is therefore false.
(B) False: for a given $V$ , $v_d$ does not depend on area. (C) False: $v_d \propto V$ .
(D) True: $v_d \propto \dfrac{1}{l}$ .
So the answer is (b) (A) and (D) only.

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Electric Current, Drift Velocity & Current Density question from JEE Main 2022 (27 Jul, Shift 2)

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