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JEE Main202430 Jan 2024Evening ShiftPhysicsElectrostaticsActual

A particle of charge - q and mass m moves in a circle of radius r around an infinitely long line charge of linear density + λ . Then time period will be given as: (Consider k as Coulomb's constant)

Options

  1. AT 2 = 4 π 2 m 2 k λ q r 3
  2. BT = 2 π r m 2 k λ q
  3. CT = 1 2 π r m 2 k λ q
  4. DT = 1 2 π 2 k λ q m

Correct answer

B. T = 2 π r m 2 k λ q

Step-by-step solution

Attractive electrostatic force due to line charge on the charged particle will provide the required centripetal force. Therefore, q 2 k λ r = m ω 2 r ⇒ ω 2 = 2 k λ q m r 2 ⇒ 2 π T 2 = 2 k λ q m r 2 ⇒ T = 2 π r m 2 k λ q

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