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Water rises up in a glass capillary upto...

Water rises up in a glass capillary upto a heigh 10 cm, while mercury falls down by 3.5 cm in the same capillary. If the angles of contact for water-glass and mercury-glass are taken as `0^(@)` and `135^(@)` respectively, compare the surface tensions of water and mercury. [Given density of water = `10^(3)` kg `m^(-3)`, density of mercury = 13.6 `xx 10^(3)` kg `m^(-3)`]

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To solve the problem, we will use the capillary rise formula and the given data to compare the surface tensions of water and mercury. ### Step-by-Step Solution: 1. **Given Data**: - Height of water in the capillary, \( h_w = 10 \, \text{cm} = 0.1 \, \text{m} \) - Height of mercury in the capillary, \( h_m = -3.5 \, \text{cm} = -0.035 \, \text{m} \) (negative because it falls down) - Density of water, \( \rho_w = 10^3 \, \text{kg/m}^3 \) ...
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