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question_answer1) A drop of water and a soap bubble have the same radii. Surface tension of soap solution is half of that of water. Find the ratio of excess pressure inside the drop and bubble.
question_answer2) The excess pressure inside a soap bubble is twice the excess pressure inside a second soap bubble. The volume of the first bubble is n times the volume of the second, where n is?
question_answer3) An open capillary tube is lowered in a vessel with mercury. The difference between the levels of the mercury in the vessel and in the capillary tube\[\Delta h=4.6mm\]. What is the radius (in cm) of curvature of the mercury meniscus in the capillary tube? Surface tension of mercury is 0.46 N/m, density of mercury is 13.6 gm/cc.
question_answer4) Two wires, one of copper and the other of steel, are of same length and cross section. They are welded together to from a long wire. On suspending a weight at its one end, increment in length is found to be 3 cms. If young's modulus of steel is double that of copper, the increment in steel wire will be (in cm)
question_answer5) A container, whose bottom has round holes with diameter 0.1 mm is filled with water. Find the maximum height in cm upto which water can be filled without leakage? Surface tension \[=75\times {{10}^{-3}}N/{{m}^{2}}\]and\[g=10m/{{s}^{2}}\].
question_answer6) Water rises to a height of 30 mm in a capillary tube. If the radius of the capillary tube is made \[{{\left( 3/4 \right)}^{th}}\]of its previous value, find the height to which the water will rise (in mm) in the tube
question_answer7) The limbs of manometer consists of uniform capillary tubes of radii \[1.4\times {{10}^{-3}}m\]and\[7.2\times {{10}^{-4}}m\]. Find out the correct pressure difference if the level of the liquid (density\[{{10}^{3}}kg/{{m}^{3}}\], surface tension\[72\times {{10}^{-3}}N/m\]) in the narrower tube stand 0.2 m above that in broader tube.
question_answer8) There is air bubble of radius 1.0 mm in a liquid of surface tension 0.075 N/m and density 1000 kg/m. The bubble is at a depth of 10 cm below the free surface. By what amount is the pressure (in Pascal) inside the bubble greater than the atmospheric pressure? Take\[g=9.8m/{{s}^{2}}.\]
question_answer9) A ring is cut from a platinum tube 8.5 cm internal and 8.7 cm external diameter. It is supported horizontally from a pan of a balance so that it comes in contact with the water in a glass vessel. What is the surface tension of water if an extra 3.97 gm weight (in dyne/cm) is required to pull it away from water (\[g=980cm/{{\sec }^{2}}\]).
question_answer10) Two drops of water of the same size are falling through air with terminal velocity of 10 cm/sec. If the two drops combine to from a single drop, what will be the new terminal velocity? (in cm/sec)
question_answer11) A spherical ball of radius\[1\times {{10}^{-4}}m\] and density to \[{{10}^{4}}\]\[kg/{{m}^{3}}\]falls freely under gravity through a distance h before entering a tank of water. If after entering the water the velocity of the ball does not change, find h. The viscosity of water is\[9.8\times {{10}^{-6}}N-s/{{m}^{2}}\]. (in m)
question_answer12) Two large vertical parallel plates separated by a gap of a \[d=1\text{ }mm\]have a highly viscous liquid of density\[800kg/{{m}^{3}}\]and viscosity coefficient \[\eta =5\]poise flowering steadily under gravity in between the gap. Find the velocity gradient of flow near plates surface in\[{{\sec }^{-1}}\].\[(1\text{ }poise=0.1Ns/{{m}^{2}})\]
question_answer13) A small sphere falls from rest in a viscous rest in a viscous liquid. Due to friction, heat is produced, the relation between the rate of production of heat and the radius of the sphere at terminal velocity is \[\frac{dH}{dt}\times {{r}^{a}}\] then value of a is?
question_answer14) A liquid of density \[\rho =1000kg/{{m}^{3}}\]and coefficient of viscosity \[\eta =0.1Ns/{{m}^{2}}\]is flowing down in vertical pipe of large cross section. A small ball of density \[{{\rho }_{0}}=100kg/{{m}^{3}}\]and \[r=5cm\]will be at rest in flowing liquid, if velocity of flowing liquid is 10 k m/s. Then find the value of k.
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