# State which of the following are dimensionally current (i) Pressure = Energy per unit volume (ii) Pressure = Momentum × volume × time CLASS - XI PHYSICS (Physical World & Measurement)

2
by rheaVerma699

2014-10-12T12:41:05+05:30

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I) Pressure = [ML⁻¹T⁻²]
Energy per unit volume =  [ML⁻¹T⁻²]

So the first one is correct

ii) Pressure = [ML⁻¹T⁻²]
Momentum × volume × time = [ML⁴]
So the second one is not correct
2014-10-15T05:21:09+05:30

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This is a quick way of doing it. The right way is to write the dimensional formulas and check them.

Pressure = Force / Area              Energy/volume = Force * distance/ volume
= Force / area
So pressure= Energy / volume

ii)
Momentum * volume * time = (Force * time) * volume * time
so it is not equal to Force / area