A small hole of area of cross-section \( 2 \mathrm{~mm}^{2} \) is present near the bottom of a f...

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A small hole of area of cross-section \( 2 \mathrm{~mm}^{2} \) is present near the bottom of a fully filled open tank of height \( 2 \mathrm{~m} \). Taking \( g=10 \mathrm{~m} / \mathrm{s}^{2} \), the rate of flow of water through the open hole would be nearly
(a) \( 8.9 \times 10^{-6} \mathrm{~m}^{3} / \mathrm{s} \)
(b) \( 2.23 \times 10^{-6} \mathrm{~m}^{3} / \mathrm{s} \)
(c) \( 6.4 \times 10^{-6} \mathrm{~m}^{3} / \mathrm{s} \)
(d) \( 126 \times 10^{-6} \mathrm{~m}^{3} / \mathrm{s} \)
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