A soap bubble having radius of \( 1 \mathrm{~mm} \) is blown from a detergent solution having a ...

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A soap bubble having radius of \( 1 \mathrm{~mm} \) is blown from a detergent solution having a surface tension of \( 2.5 \times 10^{-2} \mathrm{~N} / \mathrm{m} \). The pressure inside the bubble equals at a point \( Z_{0} \) below the free surface of water in a container. Taking, \( g=10 \mathrm{~m} / \mathrm{s}^{2} \) and density of water \( =10^{3} \mathrm{~kg} / \mathrm{m}^{3} \), the value of \( Z_{0} \) is
(a) \( 10 \mathrm{~cm} \)
(b) \( 1 \mathrm{~cm} \)
(c) \( 0.5 \mathrm{~cm} \)
(d) \( 100 \mathrm{~cm} \)
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