A 5 kg particle carrying a charge of 63 uC enters a uniform 5 T magnetic field a

Question

A 5 kg particle carrying a charge of 63 uC enters a uniform 5 T magnetic field at a speed of 39 m/s and with an angle of 40o with respect to the field lines, as shown in the figure. Answer the following questions: (Select T-True, F-False, If the first is T and the rest F, enter TFFFF).

A) The work done by the field on the particle is zero since the force is normal to the displacement.
B) The x-component of the particle's velocity is unchanged as it passes through the B-Field.
C) The particle's speed varies as it passes through the B-Field.
D) The particle follows a helical path.
E) The initial force on the particle is in the +z direction.

Explanation / Answer

Force due to magnetic field = q. (V X B )

So force acts perpendicular to the magnetic field, so

A) The work done by the field on the particle is zero since the force is normal to the displacement. - True

B) The x-component of the particle's velocity is unchanged as it passes through the B-Field. - True

C) The particle's speed varies as it passes through the B-Field.- True since y component of velocity comes into the picture.

D) The particle follows a helical path. - False since no force in horizontal dirn

E) The initial force on the particle is in the +z direction. - True

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