A uniform magnetic field B and electric field E exist along y and negative z axis respectively. Under the influence of these fields a charge particle moves along OA undeflected. If electric field is switched off, find the pitch of helical trajectory in which the particle will move.

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2πmEqB2cotθ

4πmEqB2tanθ

4πmEaB2cotθ

2πmEqB2tanθ

answer is D.

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Detailed Solution

Since the particle is moving undeflected, so magnetic force = electric force⇒ qvBsinθ=qE ⇒ v=EBsinθ Pitch, d=vcosθT=vcosθ2πmqB =EBsinθcosθ2πmqB=2πmEqB2tanθ

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