MENU
Question -

Two narrow bores of diameters 3.0 mm and 6.0 mm are joinedtogether to form a U-tube open at both ends. If the U-tube contains water, whatis the difference in its levels in the two limbs of the tube? Surface tensionof water at the temperature of the experiment is 7.3 ├Ч 10тАУ2┬аN mтАУ1.Take the angle of contact to be zero and density of water to be 1.0 ├Ч 103┬аkgmтАУ3┬а(g = 9.8 m sтАУ2).



Answer -

Diameter of the first bore,┬аd1┬а= 3.0mm = 3 ├Ч 10тАУ3┬аm

Diameter of the second bore,┬а= 6.0 mm

Surface tension of water,┬аs┬а= 7.3 ├Ч 10тАУ2┬аNmтАУ1

Angle of contact between the bore surface and water,┬а╬╕=0

Density of water,┬а╧Б┬а=1.0 ├Ч 103┬аkg/mтАУ3

Acceleration due to gravity, g = 9.8 m/s2

Let┬аh1┬аand┬аh2┬аbethe heights to which water rises in the first and second tubes respectively.These heights are given by the relations:

The difference between the levels of water in the two limbs of thetube can be calculated as:

Hence, the difference between levels of water in the two bores is4.97 mm.

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×