Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by 75 × 10-4 N, forces due to the weight of the liquid. If the surface tension of water is 6 × 10-2 N/m, the inner-circumference of the capillary must be

  • Option 1)

    1.25\times10^{-2}m

  • Option 2)

    0.50\times10^{-2}m

  • Option 3)

    6.5\times10^{-2}m

  • Option 4)

    12.5\times10^{-2}m
     

 

Answers (1)

As we discussed in concept @14048 

Capillary -

If a tube of very narrow bore is dipped in a liquid, the liquid in the capillary either ascends or descends .

- wherein

A towel soaks water.

 

 Total upward force =circumference \times surface\: tension

 

=circumference\times 6\times 10^{-2}

Total upward force = weight of the liquid

=circumference\times 6\times 10^{-2}=75\times 10^{-4}

circumference =\frac{75\times 10^{-4}}{6\times 10^{-2}}

=12.5\times 10^{-2}m


Option 1)

1.25\times10^{-2}m

Option is incorrect

Option 2)

0.50\times10^{-2}m

Option is incorrect

Option 3)

6.5\times10^{-2}m

Option is correct

Option 4)

12.5\times10^{-2}m
 

Option is incorrect

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