Question

Which of the following equations is dimensionally correct?

• A. Pressure = energy per unit volume.
• B. Pressure = energy per unit area.
• C. Pressure = force per unit volume.
• D. Pressure = momentum per unit volume.

Answer 1

Answer: (A)

Pressure = energy per unit volume.

Answer 2

p = ρgh

dp/dh = ρg = [M/L³][L/T²] = ML⁻²T⁻²

∴ Hence (1) is correct.