Water rises in a vertical capillary tube up to a height of $2.0 \, cm$. If the tube is inclined at an angle of $60^{\circ}$ with the vertical,then up to what length will the water rise in the tube?

  • A
    $2.0$
  • B
    $4.0$
  • C
    $\frac{4}{\sqrt{3}}$
  • D
    $2\sqrt{2}$

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When one end of a capillary tube is dipped in water,the height of water column is $h$. The upward force of $105 \text{ dyne}$ due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary tube is (Surface tension of water $= 7 \times 10^{-2} \text{ N/m}$) (in $\text{ cm}$)

Given below are two statements:
Statement $I$: The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well.
Statement $II$: The rise of a liquid in a capillary tube does not depend on the inner radius of the tube.
In the light of the above statements,choose the correct answer from the options given below:

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Water rises to a height of $10 \,cm$ in a capillary tube. In which of the following conditions will it rise to a height much greater than $10 \,cm$ in a very long capillary tube?

Two capillary tubes $A$ and $B$ of the same internal diameter are kept vertically in two different liquids whose densities are in the ratio $4:3$. If the surface tensions of these two liquids are in the ratio $6:5$,then the ratio of rise of liquid in capillary $A$ to that in $B$ is (assume their angles of contact are nearly equal).

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