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The magnetic field in a region is given by B→=B0i^. A charged particle of specific charge α is given a velocity v→=v02 i^+3v02 j^ at the origin. Find the minimum distance of the point on the x-axis from the origin where the particle will cut the x-axis.

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a

3 πv02αB0

b

πv02αB0

c

πv0αB0

d

3 πv0αB0

answer is C.

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Detailed Solution

ω=QB0m=αB0 ∴ T=2πω = 2παB0∴ Minimum distance =T× V02 =πV0αB0

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The magnetic field in a region is given by B→=B0i^. A charged particle of specific charge α is given a velocity v→=v02 i^+3v02 j^ at the origin. Find the minimum distance of the point on the x-axis from the origin where the particle will cut the x-axis.