Consider a modified Bernoulli equation. (P + A/Bt²) + ρ g(h + Bt) +… | JEE Main 2026 (21 Jan, Shift 1)

Q5JEE Main 2026 · 21 JAN · SHIFT 1Easy

Applications of Dimensional Analysis

Consider a modified Bernoulli equation.

$\left(\mathrm{P} + \frac{A}{Bt^2}\right) + \rho g(h + Bt) + \frac{1}{2}\rho V^2 =$ constant

If $t$ has the dimension of time then the dimensions of $A$ and $B$ are ______ respectively.

Show answer and solution

Answer: (d)

$Bt$ is added to $h$ : $[B] = [L]/[T] = [M^0LT^{-1}]$ .
$\frac{A}{Bt^2}$ is added to $P$ : $[A] = [P][B][T^2] = [ML^{-1}T^{-2}][LT^{-1}][T^2]$ .
$[A] = [ML^0T^{-1}]$ .
So the answer is (d).

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