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)

Question

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), T 2 = 4 π 2 m 2 k λ q r 3, T = 2 π r m 2 k λ q, T = 1 2 π r m 2 k λ q, T = 1 2 π 2 k λ q m

MARKS App · Accepted Answer

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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