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The lower end of a capillary tube of rad...

The lower end of a capillary tube of radius r is placed vertically in water of density `rho` , surface tension S. The rice of water in the capillary tube is upto height h, then heat evolved is

A

`+(pir^(2)h^(2)dg)/(2J)`

B

`+(pir^(2)h^(2)dg)/(J)`

C

`-(pir^(2)h^(2)dg)/(2J)`

D

`-(pir^(2)h^(2)dg)/(J)`

Text Solution

Verified by Experts

The correct Answer is:
A
`"Work done"="heat evolved, W"=JQ:Q=(mgh)/(2J)`
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Knowledge Check

  • The lower end of a capillary tube of radius r cm is placed vertically in water. What is the heat evolved if water rise upto a height h in the capillary tube ?

    A
    `(pi^(2)r^(2)h^(2)g)/J`
    B
    `-(pi^(2)r^(2)h^(2)g)/J`
    C
    `-(pi^(2)r^(2)h^(2)g)/(2J)`
    D
    `(pir^(2)h^(2)g)/(2J)`

  • The surface tension for pure water in a capillary tube experiment is

    A
    `(rho g)/(2hr)`
    B
    `(2)/(hr rho g)`
    C
    `(r rho g)/(2h)`
    D
    `(hr rho g)/(2)`

  • If a capillary tube of diameter 0.4 m is dipped vertically into water, then the height to which water rises in the capillary tube will be ,

    A
    `7.143` cm
    B
    `0 . 013` cm
    C
    `714 .3` cm
    D
    7143 cm s