Which of the following ratios express pressure? a) Force/area b) Energy/volume c) Energy/area d) Force/volume
Correct options are A) and B) Let us first express the relation of pressure with other physical quantities one by one with the help of dimensional analysis. We know that pressure. a) AreaForce=[L2][MLT−2]=[ML−1T−2] So,this ratio express pressure (In fact this ratio actually represents pressure). b) AreaEnergy=[L2][ML2T−2]=[MT−2] Dimensions of this ratio are not same as pressure,so this ratio does not express pressure. c) VolumeEnergy=[L3][ML2T−2]=[ML−1T−2] Dimensions of this ratio is the same as pressure,so this ratio also express pressure. d) volumeForce=[L3]MLT−2=[ML−2T−2] Dimensions of this ratio are not same as pressure,so this ratio does not express pressure.
