A U-tube is...

Question

A $U -$ tube is partially filled with water. Oil which does not mix with water is next poured into one side,until water rises by $2.5 c m$ on the other side. If the density of oil is $0.8 g / c c$ the oil level will stand higher than the water level by:

6.25 c m

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12.5 c m

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31.75 c m

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25.00 c m

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Solution

The correct option is B $12.5 c m$
$P_{1} = P_{2}$
$∴$ $p_{0} + ρ_{0} g h_{0} = p_{0} + ρ_{w} g h_{w}$
or $ρ_{0} h_{0} = ρ_{w} h_{w}$
or $(0.8) (h + 50) = (1) (50)$
or $h = 12.5$ cm

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A $U -$ tube is partially filled with water. Oil which does not mix with water is next poured into one side,until water rises by $2.5 c m$ on the other side. If the density of oil is $0.8 g / c c$ the oil level will stand higher than the water level by:

The correct option is B $12.5 c m$
$P_{1} = P_{2}$
$∴$ $p_{0} + ρ_{0} g h_{0} = p_{0} + ρ_{w} g h_{w}$
or $ρ_{0} h_{0} = ρ_{w} h_{w}$
or $(0.8) (h + 50) = (1) (50)$
or $h = 12.5$ cm