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Question

When two capillary tubes A and B are immersed in water, the heights of water columns are found to be in the ratio 2:3. The ratio of the radii of tubes A and B is:


A
2 : 3
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B
4 : 9
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C
9 : 4
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D
3 : 2
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Solution

The correct option is D 3 : 2
$$h  \propto  \dfrac{1}{r}$$
$$h_{1}r_{1}=h_{2}r_{2}$$
$$\dfrac{2}{3}r_{1}=r_{2}\Rightarrow \dfrac{r_{1}}{r_{2}}=3/2$$

Physics

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