A satellite moving with velocity $v$ in a force free space collects stationary interplanetary dust at a rate of $\frac{d M}{d t}=\alpha v$ where $M$ is the mass (of satellite + dust) at that instant. The instantaneous acceleration of the satellite is

• A

  $-\frac{\alpha v^2}{2 M}$
• Correct answer
  B

  $-\frac{\alpha v^2}{M}$
• C

  $-\alpha v^2$
• D

  $-\frac{2 \alpha v^2}{M}$

Hence, the correct answer is option: 'B'.