JEE Main · 2021 · 27 Jul 2021 · Shift 1 · Current Electricity

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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 and ().

Choose the correct option as one moves from P to Q:
  1. (A)All of these
  2. (B)Electron current decreases.
  3. (C)Drift velocity of electron increases.✓ Correct
  4. (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 with and fixed, the drift speed must rise where the area falls, and the area falls from to . The field inside follows from , 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

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