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A thin square plate of side \( 5 \mathrm{~cm} \) is suspended vertically from a balance so that lower side just dips into water with side to surface. When the plate is clean \( \left(\theta=0^{\circ}\right) \), it appears to weigh \( 0.044 \mathrm{~N} \). But when the plate is greasy \( \left(\theta=180^{\circ}\right) \), it appears to weigh \( 0.03 \mathrm{~N} \). The surface tension of water is
(1) \( 3.5 \times 10^{-2} \mathrm{~N} / \mathrm{m} \)
(2) \( 7.0 \times 10^{-2} \mathrm{~N} / \mathrm{m} \)
(3) \( 14.0 \times 10^{-2} \mathrm{~N} / \mathrm{m} \)
(4) \( 1.08 \mathrm{~N} / \mathrm{m} \)
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