Capillary tube is a very thin tube- If it is dipped in water- water rises upto height h-2T-r- g- where r is the radius of tube- - is density- and g is acceleration due to gravity- Find dimensional formula of -T-

H = 2T/rρ g T = hρ rg/2 = L . ML^ 3 . L . LT^ 2 = MT^ 2 nbsp; ...

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Standard XII

Physics

Dimensional Analysis

Capillary tub...

Question

Capillary tube is a very thin tube. If it is dipped in water, water rises upto height $h = \frac{2 T}{r ρ g},$ where r is the radius of tube, $ρ$ is density, and g is acceleration due to gravity. Find dimensional formula of [T]

M^{- 1} T^{2}

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M L T^{- 2}

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M L T^{- 1}

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M T^{- 2}

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Solution

The correct option is D $M T^{- 2}$
$h = \frac{2 T}{r ρ g}$
$T = \frac{h ρ r g}{2} = L . M L^{- 3} . L . L T^{- 2} = M T^{- 2}$

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Capillary tube is a very thin tube. If it is dipped in water, water rises upto height h=2Trρg, where r is the radius of tube, ρ is density, and g is acceleration due to gravity. Find dimensional formula of [T]

The correct option is D MT−2h=2Trρg T=hρrg2=L.ML−3.L.LT−2=MT−2

Capillary tube is a very thin tube. If it is dipped in water, water rises upto height $h = \frac{2 T}{r ρ g},$ where r is the radius of tube, $ρ$ is density, and g is acceleration due to gravity. Find dimensional formula of [T]

The correct option is D $M T^{- 2}$
$h = \frac{2 T}{r ρ g}$
$T = \frac{h ρ r g}{2} = L . M L^{- 3} . L . L T^{- 2} = M T^{- 2}$