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An open U-tube contains mercury. When 11...

An open U-tube contains mercury. When 11.2 cm of water is poured into one of the arms of the tube, how high does the mercury rise in the other arm from its initial level?

A

0.56 cm

B

1.35 cm

C

0.41 cm

D

2.32 cm

Text Solution

Verified by Experts

The correct Answer is:
C
On pouring water on left side, ,mercury rises x cm (say( from its previous level in the right limb of U-tube creating a difference of levels of mkercury of 2x cm. Euqation pressure at A and B, we get

`therefore 11.2xx10^(-2)xxrho_("water")xxg=2x xxrho_("Hg)xxg`
`11.2xx10^(-2)xx1000kg//m^(3)`
`=2xx13600kg//m^(3)`
`x=(11.2xx10^(-2)xx1000)/(2xx13600)m`
`=0.41cm`
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