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The energy of the free surface of a liquid drop is 5π times the surface tension of the liquid. Find the diameter of the drop in C.G.S. system.
Concept: Surface Tension
A sonometer wire vibrates with frequency n1 in air under suitable load of specific gravity of . When the load is immersed in water, the frequency of vibration of wire n2 will be .........
Concept: Variation in the Acceleration>Variation in Gravity with Altitude
What is the decrease in weight of a body of mass 600kg when it is taken in a mine of depth 5000m?
[ Radius of earth = 6400km, g = 9.8 m/s2 ]
Concept: Variation in the Acceleration>Variation in Gravity with Altitude
The dimensions of universal gravitational constant are........................
a. [L1M0T0]
b. [L2M1T0]
c. [L-1M1T-2]
d. [L3M-1T-2]
Concept: Newton’s Law of Gravitation
The surface tension of water at 0°C is 75.5 dyne/cm. Calculate surface tension of water at 25°C.
(α for water = 2.7×10-3/°C)
Concept: Surface Tension
Calculate the period of revolution of Jupiter around the Sun. The ratio of the radius of Jupiter’s orbit to that of the Earth’s orbit is 5.
(Period of revolution of the Earth is 1 year)
Concept: Newton’s Law of Gravitation
Derive an expression for excess pressure inside a drop of liquid.
Concept: Surface Tension
Angle of contact for the pair of pure water with clean glass is _______.
Concept: Surface Tension
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 ]
Concept: Surface Tension
Draw a neat labelled diagram showing forces acting on the meniscus of water in a capillary tube.
Concept: Surface Tension
Determine the binding energy of satellite of mass 1000 kg revolving in a circular orbit around the Earth when it is close to the surface of Earth. Hence find kinetic energy and potential energy of the satellite. [Mass of Earth = 6 x 1024 kg, radius of Earth = 6400 km; gravitational constant G = 6.67 x 10-11 Nm2 /kg2 ]
Concept: Binding Energy and Escape Velocity of a Satellite
A stone of mass 100 g attached to a string of length 50 cm is whirled in a vertical circle by giving velocity at lowest point as 7 m/s. Find the velocity at the highest point. [Acceleration due to gravity = 9.8 m/s2 ]
Concept: Variation in the Acceleration>Variation in Gravity with Altitude
Find the total energy and binding energy of an artificial satellite of mass 800 kg orbiting at a height of 1800 km above the surface of the earth.
[G = 6.67 x 10-11 S.I. units, Radius of earth : R = 6400 km, Mass of earth : M = 6 x 1024 kg]
Concept: Binding Energy and Escape Velocity of a Satellite
Define the angle of contact.
Concept: Surface Tension
Water rises to a height 3.2 cm in a glass capillary tube. Find the height to which the same water will rise in another glass capillary having half area of cross section.
Concept: Surface Tension
In which of the following substances, surface tension increases with increase in temperature ?
- Copper
- Molten copper
- Iron
- Molten iron
Concept: Surface Tension
'n' droplets of equal size of radius r coalesce to form a bigger drop of radius R. The energy liberated is equal to...................
(T =Surface tension of water)
`(a) 4piR^2T[n^(1/3)-1]`
`(b) 4pir^2T[n^(1/3)-1]`
`(c) 4piR^2T[n^(2/3)-1]`
`(d)4 pir^2T[n^(2/3)-1]`
Concept: Surface Tension
The surface tension of water at 0ºc is 75·5 dyne/cm. Find surface tension of water at 25°C. [ α for water = 0·0021/°C ]
Concept: Surface Tension
Explain the rise of liquid in the capillary on the basis of pressure difference.
Concept: Capillarity and Capillary Action
The escape velocity of a body from the surface of the earth is 11.2 km/s. If a satellite were to orbit close to the surface, what would be its critical velocity?
Concept: Binding Energy and Escape Velocity of a Satellite
