If magnetic force on a charge is given by and a charged particle is projected in a…

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism

Problem

If magnetic force on a charge is given by

q(\vec{v} \times \vec{B})

and a charged particle is projected in a magnetic field

(2\hat{i} + 2\hat{j} + 2\hat{k})

tesla. The acceleration of the particle at an instant is

(x\hat{i} + 2\hat{j} - 6\hat{k})\,\text{m/s}^2

. Value of

x

is (A) 4 (B) 2 (C) 3 (D) 1