JEE MAIN - Physics (2020 - 2nd September Evening Slot - No. 10)

A capillary tube made of glass of radius 0.15 mm is dipped vertically in a beaker filled with methylene iodide (surface tension = 0.05 Nm–1, density = 667 kg m–3) which rises to height h in the tube. It is observed that the two tangents drawn from liquid-glass interfaces (from opp. sides of the capillary) make an angle of 60o with one another. Then h is close to (g = 10 ms–2)
0.049 m
0.087 m
0.137 m
0.172 m

Explanation

JEE Main 2020 (Online) 2nd September Evening Slot Physics - Properties of Matter Question 195 English Explanation

h = $${{2T\cos \theta } \over {\rho gr}}$$

= $${{2 \times 0.05 \times {\sqrt 3 \over 2}} \over {667 \times 10 \times 0.15 \times {{10}^{ - 3}}}}$$

= 0.087 m

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