The following observations were taken for dtermining the surface tension of water by capillary tube method: diameter of capillary , `D = 1.25 xx 10^(-2) m` and rise of water in capillary , `h = 1.45 xx 10^(-2) m`. Taking ` g = 9.80 m s^(-2)` and using the relation `T = ( r gh//2) xx 10^(3) N m^(-1)`, what is the possible error in measurement of surface tension `T`? (a) `2.4%` (b) `15%` (c) `1.6%` (d) 0.15%`
Text Solution
AI Generated Solution
To solve the problem of determining the possible error in the measurement of surface tension \( T \) using the capillary tube method, we will follow these steps:
### Step 1: Understand the Formula for Surface Tension
The formula given for surface tension \( T \) is:
\[
T = \frac{rgh}{2} \times 10^3 \, \text{N/m}
\]
where:
...
If the surface tension of water is 0.06 N/m, then the capillary rise in a tube of diameter 1mm is (theta=0^(@) )
Water rises to height h in capillary tube. If the length of capillary tube above the surface of water is made less than h then
Calculate the height to which water will rise in a capillary tube of diameter 1xx10^(-3) m [given surface tension of water is 0.072Nm^(-1) angle of contact is 0^(@),g=9.8ms^(-2) and density of water =1000kgm^(-3) ]
In experiment for measuring surface tension by capillary rise method, reading for positions A, B, C and D for internal diameter of capillary tube are given as under Mean internal radius of capillary is
A spherical drop of water has 2.5 mm radius. If the surface tension of water is 70 xx 10^(-3) N m^(-1) , then the excess pressure inside the drop is
When a long capillary tube is immersed in water, mass M of water rises in capillary. What mass of water will rise in another long capillary of half the radius and made of same material?
Two long capillary tubes of diameter 5.0 mm and 4.0 mm are held vertically inside water one by one . How much high the water will rise in each tube ? ( g = 10 m//s^(2) , surface tension of water = 7.0 xx 10^(-2) N/m)
Mercury in a capillary tube is depressed by 1.16cm. The diameter of the capillary tube is 1mm. Calculate the angle of contact of mercury with the glass if the surface tension of mercury is 54 xx 10Nm^(-1) and its density is 13.6 xx 10^(3) kg m^(-3) .
The amount of work done in forming a soap bubble of radius r = 1 cm (surface tension T = 3 xx 10^(-2) N//m ) is
The sap in trees, which consists mainly of water in summer, rises in a system of capillaries of radius r = 2.5 xx 10^(-5) m. The surface tension of sap is T =7.28 xx 10^(-2) Nm^(-1) and the angle of contact is 0^@. Does surface tension alone ac count for the supply of water to the top of all trees ?
