A particle moving in the xy -plane experiences a velocity dependent force F → = k υ y i ^ + &#965…

A particle moving in the xy-plane experiences a velocity dependent force F→=kυyi^+υxj^, where υx and υy are the x and y components of its velocity υ→. If a→ is the acceleration of the particle, then which of the following statements is true for the particle ?
  1. quantity υ→×a→ is constant in time
  2. F→ arises due to a magnetic field
  3. kinetic energy of particle is constant in time
  4. quantity υ→.a→ is constant in time

Solution

F→=kv→
⇒ F→‖v→
⇒ a→‖v→
⇒ v→×a→=0 always

Asked in: JEE Main 2020 (06 Sep Shift 2)

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