which of the following radios represent pressure
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Answer:
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)
Area
Force
=
[L
2
]
[MLT
−2
]
=[ML
−1
T
−2
]
So,this ratio express pressure (In fact this ratio actually represents pressure).
b)
Area
Energy
=
[L
2
]
[ML
2
T
−2
]
=[MT
−2]
Dimensions of this ratio are not same as pressure,so this ratio does not express pressure.
c)
Volume
Energy
=
[L
3
]
[ML
2
T
−2
]
=[ML
−1
T
−2
]
Dimensions of this ratio is the same as pressure,so this ratio also express pressure.
d)
volume
Force
=
[L
3
]
MLT
−2
=[ML
−2
T
−2
]
Dimensions of this ratio are not same as pressure,so this ratio does not express pressure
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