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A capillary tube whose inside radius is ...

A capillary tube whose inside radius is `0.5mm` is dipped in water having surface tension `7.0xx10^(-2) N//m`. To what height is the water raised above the normal water level? Angle of contact of water with glass is `0^(@)`. Density of water is `10^(3)kg//m^(3) and g=9.8 m//s^(2)`.

Text Solution

Verified by Experts

Height raised, `h=(2T cos theta)/(r rho g)`
Substituting the proper values, we have
`h=((2)(7.0xx10^(-2))cos 0^(@))/((0.5xx10^(-3))(10^(3))(9.8))`
`=2.86xx10^(-2) m`
=2.86 cm
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Knowledge Check

  • If a capillary tube of radius 2 xx 10^(-4) m is is dipped vertically in a water of surface tension 7 xx 10^(-2) N/m and density 10^(3) "kg/m"^(3) then the height to which water rises will be

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