Consider a modified Bernoulli equation.
$$
\left(P+\frac{A}{B t^2}\right)+\rho g(h+B t)+\frac{1}{2} \rho V^2=\text { constant }
$$
If $t$ has the dimension of time then the dimensions of $A$ and $B$ are $\_\_\_\_$ , $\_\_\_\_$ respectively.
Select the correct option:
A
$\left[\mathrm{ML}^0 \mathrm{~T}^{-1}\right]$ and $\left[\mathrm{M}^0 \mathrm{LT}\right]$
B
$\left[\mathrm{ML}^0 \mathrm{~T}^{-1}\right]$ and $\left[\mathrm{M}^0 \mathrm{LT}^{-1}\right]$
C
$\left[\mathrm{ML}^0 \mathrm{~T}^{-2}\right]$ and $\left[\mathrm{M}^0 \mathrm{LT}^{-2}\right]$
D
$\left[\mathrm{ML}^0 \mathrm{~T}^{-2}\right]$ and $\left[\mathrm{M}^0 \mathrm{LT}^{-1}\right]$
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