A capillary tube of radius r can support a liquid of weight 6.28 × 10-4 N. if the surface tension of the liquid is 5 × 10-2 N/m. the radius of capillary must be

  • Option 1)

    2.5\times 10^{-3}m

  • Option 2)

    2.0\times 10^{-4}m

  • Option 3)

    1.5\times 10^{-3}m

  • Option 4)

    2.0\times 10^{-3}m


Answers (1)

As we discussed in concept

Surface Tension -

It is also defined as force per unit length

T= \frac{F}{l}

- wherein

F\rightarrow force

l\rightarrow imaginary \: length


 T=\frac{F}{l}\:\:\:\:\:\:\:l=2 \pi R

T=\frac{F}{2 \pi R}\:\:\:\Rightarrow R=\frac{F}{2 \pi T}\:=\:\frac{28\times 10^{-4}}{2\times 3.14\times 5\times 10^{-2}}

R\:=\:2\times 10^{-3}

Option 1)

2.5\times 10^{-3}m

This option is incorrect.

Option 2)

2.0\times 10^{-4}m

This option is incorrect.

Option 3)

1.5\times 10^{-3}m

This option is incorrect.

Option 4)

2.0\times 10^{-3}m

This option is correct.

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