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A glass rod of radius \( r_{1} \) is inserted symmetrically into a vertical capillary tube of radius \( r_{2} \) such that their lower ends are at the same level. The arrangement is now dipped in water. The height to which water will rise into the tube will be ( \( \sigma= \) surface tension of water, \( \rho= \) density of water)
(1) \( \frac{2 \sigma}{\left(r_{2}-r_{1}\right) \rho g} \)
(2) \( \frac{\sigma}{\left(r_{2}-r_{1}\right) \rho g} \)
(3) \( \frac{2 \sigma}{\left(r_{2}+r_{1}\right) \rho g} \)
(4) \( \frac{2 \sigma}{\left(r_{2}^{2}+r_{1}^{2}\right) \rho g} \)
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