A particle moving in the xy plane experiences a velocity dependent force F = k(v y i + v x j), where v x and v y are the x and y components of its velocity v. If a is the acceleration of the particle, then which of the following statements is true for the particle?

(B) quantity v × a is constant in time

(A) kinetic energy of particle is constant in time

(C) quantity v. a is constant in time

(D) F arises due to a magnetic field

Laws of Motion: JEE Main 2020 Physics question

JEE Main 2020 · 6 Sep, Evening shift · Q7583

JEE Main 20206 Sep, Evening shiftPhysicsMediumLaws of Motion70× since 2002

A particle moving in the xy plane experiences a velocity dependent force

\overrightarrow F = k\left( {{v_y}\widehat i + {v_x}\widehat j} \right)

, where v_x and v_y are the x and y components of its velocity

\overrightarrow v

. If

\overrightarrow a

is the acceleration of the particle, then which of the following statements is true for the particle?

JEE Main 2020 Laws of Motion Question with Solution (6 Sep Evening shift, Q7583) | JEE Arc