It is observed that water at \(20^{\circ} \mathrm{C}\) rises up to \(20 \mathrm{~m}\) height in a tree due to capillary effect. The surface tension of water at \(20^{\circ} \mathrm{C}\) is \(\sigma_{s}=0.073 \mathrm{~N} / \mathrm{m}\) and the contact angle is \(20^{\circ}\). The maximum diameter of the tube in which water rises is

(a) \(0.035 \mathrm{~mm}\)

(b) \(0.016 \mathrm{~mm}\)

(c) \(0.02 \mathrm{~mm}\)

(d) \(0.002 \mathrm{~mm}\)

(e) \(0.0014 \mathrm{~mm}\)