. The dimensions of pressure are the same as that of
(a) force per unit volume
(b) energy per unit volume
(c) force
(d) energy
Best Answer
Correct Option is : (b)
Explanation : Pressure is defined as force applied per unit area.
So, Pressure = Force/Area
Therefore, dimensions of pressure = MLT-2 / L2 = ML-1 T-2
Dimensions of force per unit volume = Force / Volume = MLT-2 / L3 =ML-2 T-2
Dimensions of energy per unit volume= Energy / Volume = ML2 T-2 /L3 = ML-1 T -2
Dimension of Force = Mass×Acceleration = MLT-2
Dimensions of energy = Force × Displacement = ML2T-2 .
So, dimensions of pressure match with that of energy per unit volume.
Hence, the correct answer to the given question is option 3.
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