Motion of Charge in Magnetic Field An electron with speed $V_0$ << c moves in a circle of radius $r _{\circ}$ in a uniform magnetic field. This electron is able to traverse a circular path as the magnetic force acting on the electron is perpendicular to both $V_0$ and B ,as shown in the figure. This force continuously deflects the particle sideways without changing its speed and the particle will move along a circle perpendicular to the field. The time required for one revolution of the electron is $T _{ o }$.
(i) If the speed of the electron is now doubled to 2vo. The radius of the circle will change to (A) $4 r_0$ (B) $2 r_0$ (C) $r _{ o }$ (D) $r _0 / 2$
(ii) If v = 2vo, then the time required for one revolution of the electron (To ) will change to (A) $4 T_0$ (B) $2 T_{ O }$ (C) $T _{ o }$ (D) $T _{ d } / 2$ (iii) A charged particles is projected in a magnetic field . The acceleration of the particle is found to be. Find the value of x. (A) $4 ms^{-2}$ (B) $-4 ms^{-2}$ (C) $-2 ms^{-2}$ (D) $2 ms^{-2}$
(iv) If the given electron has a velocity not perpendicular to B, then trajectory of the electron is (A) straight line (B) circular (C) helical (D) zig-zag
OR
If this electron of charge (e) is moving parallel to uniform magnetic field with constant velocity v, the force acting on the electron is (A) Bev (B) Be/v (C) B/ev (D) Zero