Check the dimensional correctness of the equation PV =Fx where P is the pressure, V is the volume, F is the force and x is the displacement. (
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Answer:
Pressure × Volume =[ML
−1
T
−2
×L
3
]=[ML
2
T
−2
]
On the other hand, the dimensions of the given quantities are:
Work =[ML
2
T
−2
]
Power =[ML
2
T
−3
]
Modulus of Elasticity =[ML
−1
T
−2
]
Force =[ML
1
T
−2
]
Therefore, Pressure × Volume = Work
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