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Question

A particle of mass m and positive charge q is projected towards an infinitely long line of a charge (having linear density of charge +λ) from a distance t0. The direction of initial velocity v0 makes an angle 30 with the normal to the line of charge as shown in figure. The minimum distance of approach of the charge particle with the line of charge will be (neglect gravity). Take λ=πε0mv204q.
1130874_244986dcdd844a95b229a0c484578aba.png

A
r0e
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B
r0e2
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C
r0e3
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D
r02
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Solution

The correct option is C r0e3

Particle of mass =m positive charge =ϕ
λ=πϵ0mV204q;θ=300
distance =t0
initial velocity =V0
the d=r0e3cos300
=r0e3.12 12
2d=r0e3

1238395_1130874_ans_c77cab38e44e4ea0a7d4c29d150441be.png

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