If $v=\frac{A}{t}+B{t}^2+C{t}^3$ where $v$ is velocity, $t$ is time and $A, B$ and $C$ are constants, then the dimensional formula of $B$ is

• A

  $\left[{\mathrm{M}}^0\mathrm{L}{\mathrm{T}}^0\right]$
• B

  $\left[\mathrm{M}{\mathrm{L}}^0{\mathrm{T}}^0\right]$
• C

  $\left[{\mathrm{M}}^0{\mathrm{L}}^0{\mathrm{T}}^{\mathrm{ }}\right]$
• Correct answer
  D

  $\left[{\mathrm{M}}^0\mathrm{L}{\mathrm{T}}^{-3}\right]$

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