Question

/ State which of the following are dimensionally current
(i) Pressure = Energy per unit volume
(ii) Pressure = Momentum xvolume xtime​

Answer 1

i) Pressure = ML-¹T-²

Energy per unit volume = ML²T-²/L³

=>ML-¹T-²

Yes it is dimensionally correct,

[Pressure] =[Energy per unit volume] = [ML-¹T-²]

ii) Pressure = ML-¹T-²

Momentum× volume × Time = MLT-¹ × L³ × T = ML⁴T0

So, it is dimensionally incorrect.

Cheers!