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Two narrow bores of diameters 3.0mm and ...

Two narrow bores of diameters 3.0mm and 6.0 mm are joined together to form a U-shaped tube open at both ends. If th U-tube contains water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is `7.3xx10^(-2)Nm^(-1)`. Take the angle of contact to be zero. and density of water to be `1.0xx10^(3)kg//m^(3)`.
`(g=9.8 ms^(-2))`

Text Solution

Verified by Experts

The correct Answer is:
`0.496 xx 10^(-2) m`
`h_(1) - h_(2) = ( 2 sigma cos theta )/( rho g ) [ (1)/( r_(1)) - ( 1)/( r_(2))] = ( 2 xx 7.3 xx 10^(-2) cos theta )/( 10^(3) xx 9.8 ) ( ( 1)/( 1.5 xx 10^(-3)) - ( 1)/( 3 xx 10^(-3))) = 0.496 xx 10^(-2) m`
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