#### Question

Water rises to a height 3.2 cm in a glass capillary tube. Find the height to which the same water will rise in another glass capillary having half area of cross section.

#### Solution

`h_1` = 3.2cm, `A_2 = (A_1)/2`

As, `h α 1/r`

`therefore h_1r_1 = h_2r_2`

`pir_2^2 = (pir_1^2)/2`

`=> r_2 = (r_1)/sqrt2`

`therefore h_2 = (3.2 xx r_1)/(r_1//sqrt2) = 3.2 xx sqrt2`

Hence, `h_2 = 4.525` cm

Is there an error in this question or solution?

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#### APPEARS IN

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Find the Height to Which the Same Water Will Rise in Another Glass Capillary Having Half Area of Cross Section. Concept: Surface Tension.

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