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Question

Physics Question on mechanical properties of fluid

The lower end of a capillary tube of radius r is placed vertically in water then with the rise of water in the capillary heat evolved is

A

+πr2h2dg2J+\frac{\pi r^2h^2dg}{2J}

B

+πr2h2dgJ+\frac{\pi r^2h^2dg}{J}

C

πr2h2dg2J-\frac{\pi r^2h^2dg}{2J}

D

πr2h2dgJ-\frac{\pi r^2h^2dg}{J}

Answer

+πr2h2dg2J+\frac{\pi r^2h^2dg}{2J}

Explanation

Solution

Work done = heat evolved (Average force ×\times h) = heat evolved 2πrTcosθ+02=WJ\frac{2 \pi r T \, cos \, \theta + 0}{2} = \frac{W}{J}