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Standard XII

Chemistry

Liquids in Liquids

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 cm on the other side. If the density of oil is 0.8 g/cc the oil level will stand higher than the water level by:

The correct option is B 12.5 cmP1=P2∴ p0+ρ0gh0=p0+ρwghwor ρ0h0=ρwhwor (0.8)(h+50)=(1)(50)or h=12.5 cm

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