The force acting on a particle is given by $\alpha \vec{\beta} \times \vec{p}$ where $\alpha$ is a constant, $\vec{\beta}$ is a constant vector of magnitude $\beta$ and $\vec{p}$ is the linear momentum of the particle. Then

• A

  the dimension of $\alpha \beta$ is $\left[M \cdot T^{-1}\right]$.
• Correct answer
  B

  the component of $\vec{p}$ along $\vec{\beta}$ is a constant.
• Correct answer
  C

  $\vec{p}$ is perpendicular to $\mathrm{d} \vec{p} / \mathrm{dt}$.
• Correct answer
  D

  the magnitude of $\vec{p}$ is a constant.

Hence, the correct answer is options: 'B', 'C', 'D'.