Question

The difference, in the mean value of the readings of the travelling microscope, when its horizontal ‘cross wire’, is at the two positions, indicated here, equals x. This capillary tube is dipped in a liquid of surface tension T and density ρ . The angle of contact, of the liquid with the walls of the capillary tube, is α. If the tube has its axis inclined at an angle α to the vertical, the length of the liquid column (relative to the general outside level), in the capillary tube, would equal.

(1) \(\frac{(4T cos \theta)}{(xpg\,cos\alpha)}\)

(2) \(\frac{(4T cos \alpha)}{(xpg\,cos\theta)}\)

(3) \(\frac{(4T\,cos\alpha\,cos\theta)}{(xρg)}\)

(4) \(\frac{(4T)}{(xρg\,cos\alpha\,cos\theta)}\)

Answer 1

 Correct answer is (2) \(\frac{(4T cos \alpha)}{(xpg\,cos\theta)}\)