1. Check the consistency of the equation, T = hrdg, where T is the surface tension of a liquid which is force acting per length, h is the height of the liquid column, r is the radius of the tube, d is the density of the liquid and g is the acceleration due to gravity.
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Answer:
h=
ρrg
2Scosθ
LHS=[L]
Surface tension =S=F/I=
L
MLT
−2
=[MT
−2
]
Density =ρM/V=[ML
−3
T
0
]
Radius =r=[L],g=[LT
−2
]
RHS=
ρrg
2Scosθ
=
[ML
−3
T
0
][L][LT
−2
]
[MT
−2
]
=[M
0
L
1
T
0
]=[L]
LHS=RHS
so the relation is correct
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