Question

A capillary tube of radius is immersed in water and water rises in it to a height h. The mass of water in the capillary tube is 5 g. Another capillary tube of radius 2r is immersed in water in water. The mass of water that will rise in this tube is  

Solution

Correct option is

10 g

 

Mass of water in first tube is  

       

Now, surface tension, 

       

Where h’ is the height to which water rises in the second tube and r’ its radius. Since r’ = 2r.h’ = h/2. Therefore, the mass of water of water in the second capillary tube is 

       

             

             

             = 2m

             .

SIMILAR QUESTIONS

Q1

Water rises to a height of 13.6 cm in a capillary tube dipped in water. When the same tube is dipped in mercury, it is depressed by  cm. The angle of contact for water is zero and that for mercury 135o. The relative density of mercury is 13.6. The ratio of the surface tensions of mercury and water is   

Q2

Two blocks A and B are made of different kinds of wood. Block A floats in water with  of its above the surface water. Block B floats in water with  of its volume below the surface of water. The ratio of the densities of A and B is     

Q3

The pressures inside two soap bubbles are 1.002 and 1.004 atmospheres. Their respective volumes are in the ratio of

Q4

If W is the amount of work done in blowing a bubble of volume, V, what will be the amount of work done to blow a bubble of volume 8 V 

Q5

Water is flowing through a tube of radius r with a speed v. If this tube is joined to another tube of radius r/2, what is the speed of water in the second tube?

Q6

Equal masses of two substances of densities  are mixed together. The density of the mixture would be

Q7

Equal volumes of two substances of densities  are mixed together. The density of the mixture would be

Q8

A small sphere of volume V falling in a viscous fluid acquires a terminal velocity vt. The terminal velocity of a sphere of volume 8 V of the same material and falling in the same fluid will be   

Q9

A cubical vessel of height 1m is full of water. The work done in pumping water out of the vessel is