If during a permeability test on a soil sample with a falling head permeameter, equal time intervals are noted for drop of head from $^{'} h_{1}^{'} t o^{'} h_{2}^{'}$ and again from $^{'} h_{2}^{'} t o^{'} h_{3}^{'}$ , then which one of the following relations would hold good?

h_{3}^{2} = h_{1} h_{2}

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h_{1}^{2} = h_{2} h_{3}

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h_{2}^{2} = h_{1} h_{3}

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(h_{1} - h_{2}) = (h_{2} - h_{3})

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Solution

The correct option is C $h_{2}^{2} = h_{1} h_{3}$
$k = \frac{2.3 a L}{A t} l o g (\frac{h_{1}}{h_{2}})$

$= \frac{2.3 a L}{A t} l o g (\frac{h_{2}}{h_{3}})$

$∴$ $\frac{h_{1}}{h_{2}} = \frac{h_{2}}{h_{3}}$

$\Rightarrow$ $h_{2}^{2} = h_{1} h_{3}$

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If during a permeability test on a soil sample with a falling head permeameter, equal time intervals are noted for drop of head from ′h′1to′h′2 and again from ′h′2to′h′3, then which one of the following relations would hold good?

The correct option is C h22=h1h3k=2.3aLAtlog(h1h2) =2.3aLAtlog(h2h3) ∴ h1h2=h2h3 ⇒ h22=h1h3

If during a permeability test on a soil sample with a falling head permeameter, equal time intervals are noted for drop of head from $^{'} h_{1}^{'} t o^{'} h_{2}^{'}$ and again from $^{'} h_{2}^{'} t o^{'} h_{3}^{'}$ , then which one of the following relations would hold good?

The correct option is C $h_{2}^{2} = h_{1} h_{3}$
$k = \frac{2.3 a L}{A t} l o g (\frac{h_{1}}{h_{2}})$

$= \frac{2.3 a L}{A t} l o g (\frac{h_{2}}{h_{3}})$

$∴$ $\frac{h_{1}}{h_{2}} = \frac{h_{2}}{h_{3}}$

$\Rightarrow$ $h_{2}^{2} = h_{1} h_{3}$