Advertisements
Advertisements
Question
A capillary of diameter d mm is dipped in water such that the water rises to a height of 30 mm. If the radius of the capillary is made `(2/3)` of its previous value, then compute the height up to which water will rise in the new capillary?
Advertisements
Solution
Let diameter of capillary tube = d mm
Let the radius of capillary tube r1 = r mm
Capillary rise h1 = 30 mm
Let the radius of another capillary tube r2 = `2/3` r
Let the capillary rise of another capillary tube be h2
We know that
T = `("hr"ρ"g")/2`
∴ `"h" ∝ 1/"r"`
`"h"_1/"h"_2 = "r"_2/"r"_1`
`30/"h"_2 = (2/3 "r")/"r"`
`30/"h"_2 = 2/3`
∴ h2 = `(3 xx 30)/2` = 45 mm
Capillary rise in the new capillary tube = 45 mm
APPEARS IN
RELATED QUESTIONS
A raindrop of diameter 4 mm is about to fall on the ground. Calculate the pressure inside the raindrop. [Surface tension of water T = 0.072 N/m, atmospheric pressure = 1.013 x 105 N/m2 ]
Explain why Surface tension of a liquid is independent of the area of the surface
If a mosquito is dipped into water and released, it is not able to fly till it is dry again. Explain
When the size of a soap bubble is increased by pushing more air in it, the surface area increases. Does it mean that the average separation between the surface molecules is increased?
The rise of a liquid in a capillary tube depends on
(a) the material
(b) the length
(c) the outer radius
(d) the inner radius of the tube
A metal piece of mass 160 g lies in equilibrium inside a glass of water. The piece touches the bottom of the glass at a small number of points. If the density of the metal is 8000 kg/m3, find the normal force exerted by the bottom of the glass on the metal piece.
A ferry boat has internal volume 1 m3 and weight 50 kg.(a) Neglecting the thickness of the wood, find the fraction of the volume of the boat immersed in water.(b) If a leak develops in the bottom and water starts coming in, what fraction of the boat's volume will be filled with water before water starts coming in from the sides?
Mention the S.I unit and dimension of surface tension.
A large number of liquid drops each of radius 'r' coalesce to form a big drop of radius 'R'. The energy released in the process in converted into kinetic energy of the big drop. The speed of the big drop is ______. (T = surface tension of liquid, p = density of liquid)
Find the work done when a drop of mercury of radius 2 mm breaks into 8 equal droplets. [Surface tension of mercury = 0.4855 J/m2].
