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Question

If P is pressure, ρ is the density then Pρ has the same dimensions of :

A
Force per unit mass
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B
Energy per unit mass
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C
Power per unit velocity
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D
Relative density
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Solution

The correct option is B Energy per unit mass
P=pressure=ForceArea=M1L1T2L2=[M1L1T2]
ρ=[M1L3T0]

Pρ=M1L1T2M1L3=[M0L2T2]

Force per unit mass
=M1L1T2M1=[L1T2]
Energy per unit mass =M1L2T2M1=[L2T2]
Power per unit velocity =M1L2T3LT1=[M1L1T2]
Relative density =[M0L0T0]

Hence, option B is correct.

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