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PhysicsHardMCQ2025 · 28 Jan Shift 1

Q35.Consider a long thin conducting wire carrying a uniform current I. A particle having mass " M " and charge " q " is released at a distance " a " from the wire with a speed v0 along the direction of current in the wire. The particle gets attracted to the wire due to magnetic force. The particle turns round when it is at distance x from the wire. The value of x is [ μ0 is vacuum permeability] (1) ae−4πmvoqμoI (2) a [1 − 2qμoImvo ] − 2 qμoI (3) a [1 mv ] (4) a

What This Question Tests

This complex problem asks for the minimum distance a charged particle approaches a current-carrying wire due to magnetic force, which changes the direction of velocity but does no work, requiring conservation of angular momentum and energy considerations.

Concepts Tested

Magnetic field due to infinite wireMagnetic force on moving chargeWork done by magnetic forceConservation of energy/momentum (in appropriate component)

Formulas Used

B = μ₀I / (2πr)

F = q(v x B)

Work done by magnetic force is zero

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