A particle of mass m and charge q moves with a constant velocity v along the positive x -direction. It enters a region containing a uniform magnetic field B directed along the negative z direction, extending from x = a to x = b . The minimum value of v required so that the particle can just enter the region x b is

Question

A particle of mass m and charge q moves with a constant velocity v along the positive x -direction. It enters a region containing a uniform magnetic field B directed along the negative z direction, extending from x = a to x = b . The minimum value of v required so that the particle can just enter the region x > b is, q b B / m, q ( b − a ) B / m, q a B / m, q ( b + a ) B /2 m

MARKS App · Accepted Answer

r = v ​ qB m v ​ = b − a ( for just entering) = m q ( b − a ) B ​ ​

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