Two soil sample A and B have porosities $n_{A} = 40$ % and $n_{B} = 60$ % respectively. What is the ratio of void ratios $e_{A}$ : $e_{B}$ ?

2 : 3

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3 : 2

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4 : 9

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9 : 4

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Solution

The correct option is C 4 : 9
(c)
$e_{A} = \frac{n_{A}}{1 - n_{A}} = \frac{0.4}{0.6} = \frac{2}{3}$

$e_{B} = \frac{n_{B}}{1 - n_{B}} = \frac{0.6}{0.4} = \frac{3}{2}$

$∴ \frac{e_{A}}{e_{B}} = \frac{4}{9}$

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Two soil sample A and B have porositiesnA=40% and nB=60% respectively. What is the ratio of void ratios eA : eB?

The correct option is C 4 : 9(c) eA=nA1−nA=0.40.6=23 eB=nB1−nB=0.60.4=32 ∴eAeB=49

Two soil sample A and B have porosities $n_{A} = 40$ % and $n_{B} = 60$ % respectively. What is the ratio of void ratios $e_{A}$ : $e_{B}$ ?

The correct option is C 4 : 9
(c)
$e_{A} = \frac{n_{A}}{1 - n_{A}} = \frac{0.4}{0.6} = \frac{2}{3}$

$e_{B} = \frac{n_{B}}{1 - n_{B}} = \frac{0.6}{0.4} = \frac{3}{2}$

$∴ \frac{e_{A}}{e_{B}} = \frac{4}{9}$