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Water rises in a capillary tube to a hei...

Water rises in a capillary tube to a height of 2.0cm. In another capillary tube whose radius is one third of it, how much the water will rise?

A

6.0 cm

B

2.0 cm

C

4.0 cm

D

8.0 cm

Text Solution

Verified by Experts

The correct Answer is:
A
`h=(2T cos theta)/(r rho g)`
`therefore hr=(2T cos q)/(rg)`=constant
`implies h_(1)r_(1)=h_(2)r_(2) " or " h_(2)=(h_(1)r_(1))/(r_(2))`
Substituting the values,
`h_(2)=(2.0)(3)`
`=6.0 cm " " ((r_(2))/(r_(1))=(1)/(3))`
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