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The Circular Motion

Two charged p...

Question

Two charged particles M and N enter a region of uniform magnetic field with velocities perpendicular to the field. The paths of particles are shown in Fig. The possible reason is

The charge of M is greater than that of N

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The momentum of M is greater than that of N

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The charge to mass ratio of M is greater than that of N

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The speed of M is greater than that of N.

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Solution

The correct option is C The charge to mass ratio of M is greater than that of N
The radius of the circular path of a particle of mass m, charge e moving with a speed $ν$ perpendicular to a magnetic field B is given by
$\frac{m ν^{2}}{r} = e ν B o r r = (\frac{m}{e}) \frac{ν}{B}$
Thus, r is inversely proportional to $(\frac{e}{m})$ , the charge to mass ratio. Hence the correct choice is (c).

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