Which of the following is dimensionally correctA) Pressure = Energy pe

1.	Which of the following is dimensionally correctA) 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» 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.

Which of the following is dimensionally correctA) 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»

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]