Check whether the formula is dimensionally correct:
h = (2S cos(theta))/rdg
h is height of liqud,
S is surface tension, r is the radius, d is density of liquid and g is acceleration due to gravity.
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The dimensional formula is [L]
Given:
h is height of liquid, S is surface tension, r is the radius, d is density of liquid and g is acceleration due to gravity.
To Find:
The dimensional formula for h = (2S cos(theta))/rdg
Solution:
From the given ,
we get,
h =
LHS = [L]
Surface tension =S = F/I =
= [ ]
Radius = r = [ L]
g = [L]
RHS = = []
=[L]
LHS = RHS
Hence, the dimensional formula for the question is [L]
#SPJ2
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