In the given figure, a battery of emf E is connected across a conductor PQ of length 'ℓ' and different area of cross-sections by having radii r1 and r2 (r2<r1).
Choose the correct option as one moves from P to Q:
(A)All of these
(B)Electron current decreases.
(C)Drift velocity of electron increases.✓ Correct
(D)Electric field decreases.
Answer: (C)
Solution
Charge cannot pile up anywhere along the conductor, so the same current crosses every section and the electron current is unchanged from P to Q. Writing that current as I=neAvd with n and e fixed, the drift speed must rise where the area falls, and the area falls from πr12 to πr22. The field inside follows from E=σAI, which rises for the same reason. Moving from P to Q only the drift velocity of the electrons increases.
JEE Main · 2021 · 27 Jul 2021 · Shift 1 · Single correct option