HARD
JEE Main
IMPORTANT
Earn 100
A large number of liquid drops each of radius coalesce to form a single drop of the radius . The energy released in the process is converted into kinetic energy of the big drop so formed. The speed of the big drop is (given surface tension of the liquid , density )
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Important Questions on Properties of Solid and Liquid
HARD
JEE Main
IMPORTANT
In the diagram shown, the difference in the two tubes of the manometer is , the cross-section of the tube at and is and respectively. The rate at which water flows through the tube is
EASY
JEE Main
IMPORTANT
The velocity of water in a river is near the surface. If the river is deep, find the shearing stress between the horizontal layers of water. The coefficient of viscosity of water.
MEDIUM
JEE Main
IMPORTANT
Water is flowing at a speed of 1.5 m s-1 through a horizontal tube of cross-sectional area 10-2 m2 and you are trying to stop the flow by your palm. Assuming that the water stops immediately after hitting the palm, the minimum force that you must exert should be (density of water = 103 kg m-3)
MEDIUM
JEE Main
IMPORTANT
A capillary tube is immersed vertically in water and the height of the water column is . When this arrangement is taken into a mine of depth d, the height of the water column is . If R is the radius of earth, the ratio is :
EASY
JEE Main
IMPORTANT
In materials like aluminium and copper, the correct order of magnitude of various elastic modulii is :
MEDIUM
JEE Main
IMPORTANT
There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d1 and d2 are filled in the tube. Each liquid subtends 90o angle at centre. Radius joining their interface makes an angle with vertical. Ratio is:
MEDIUM
JEE Main
IMPORTANT
A uniform cylinder of length and mass having cross-sectional area is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half submerged in a liquid of density at equilibrium position. The extension of the spring when it is in equilibrium is :
HARD
JEE Main
IMPORTANT
Assume that a drop of a liquid evaporates by a decrease in its surface energy so that its temperature remains unchanged. The minimum radius of the drop for this to be possible is. (The surface tension is , the density of the liquid is and is its latent heat of vaporisation.)
