Question

Which of the following is dimensionally correct
A) Pressure = Energy per unit area B) Pressure = Energy per unit volume C) Pressure = Force per unit volume D) Pressure = Momentum per unit volume per unit time

Answer 1

answer : option (B)

explanation : pressure is force per unit area. so, dimensional formula of pressure = [ML^-1T^-2]

dimensional formula of energy is [ML^2T^-2]

so, dimensional formula of energy per unit area = [MT^-2]

so, dimensionally, pressure ≠ energy per unit area.

option (A) is incorrect.

again, dimensional formula of energy per unit volume = [ML^-1T^-2]

so, dimensionally, pressure = energy per unit volume.

option (B) is correct.

dimensional formula of force per unit volume = [ML^-2T^-2]

dimensionally, pressure ≠ force per unit volume.

option (C) is incorrect.

dimensional formula of momentum per unit volume per unit time = [MLT^-1]/[L^3][T] = [ML^-2T^-2]

so, Dimensionally, pressure ≠ force per unit volume per unit time.

option (D) is incorrect.

Answer 2

Answer:

option b is correct

Explanation:

pressure= energy per unit volume