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Standard XIII

Physics

Analysis of Force Equation

A uniform mag...

Question

A uniform magentic field exists in space. A particle of mass m and charges q is projected towards negative x-axis with speed v from a point (d, 0, 0). The maximum value of v for which the particle does not hit the y-z plane is

2Bq/dm

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Bqd/m

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Bq/2dm

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Bqd/2m

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Solution

The correct option is B
Bqd/m

As the magnetic field is uniform and the particle is projected in a direction perpendicular to the field, it will describe a circular path. The particle will not hit the y-z plane, if the radius of the circle is smaller than d. For the maximum value of v the radius is just equal to d. Thus

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