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Question: A U tube is made of two capillary tubes of diameter 0.5 mm and 1.0 mm respectively. It contains H<su...

A U tube is made of two capillary tubes of diameter 0.5 mm and 1.0 mm respectively. It contains H2O. (Surface tension 75 dynes/cm). Find the difference in two levels.

A

(a) 2.4 cm

A

(b) 2.6 cm

A

(c) 2.8 cm

A

(d) 3.0 cm

Explanation

Solution

(d)

h = 2Tρrg\frac{2T}{\rho rg}

∆h = 2Tρg[1r11r2]\frac{2T}{\rho g}\left\lbrack \frac{1}{r_{1}} - \frac{1}{r_{2}} \right\rbrack

= 2×751×980[1.0251.05]=3cm\frac{2 \times 75}{1 \times 980}\left\lbrack \frac{1}{.025} - \frac{1}{.05} \right\rbrack = 3cm