Mechanical Properties of Fluids
A metal ball of radius 'r' and density 'd' travels with a terminal 'v' in a liquid of density d/4. The terminal velocity of another ball of radius '2r' and density '3d' in the same liquid is
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A wire forming a loop is dipped into soap solution and taken out so that a film of soap solution is formed. A loop of 6.28cm long thread is gently put on the film and the film is pricked with a needle inside the loop. The thread loop takes the shape of a circle. Find the tension in the thread. Surface tension of soap solution =0.030 Nm−1.
A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will be
By a surface of a liquid we mean
A large number of liquid drops each of radius r coalesce to from a single drop of radius R. The energy released in the process in converted into kinetic energy of the big drop so formed. The speed of the big drop is (given surface tension of liquid T, density ρ)
A large tank is filled with water ( density=103kg/m3 ) . a small hole is made at a depth 10m below the water surface the range of water issuing out of the hole is R on the ground. what extra pressure applied on water surface so that the range becomes 2R ( take 1 atm=105Pa,g=10m/s2)
The ratio of tensions in the string connected to the block of mass m2 in Fig. A.11 (a)−(b), respectively, is (friction is absent everywhere): [m1=50 kg,m2=80 kg and F=1000N]
A thin metal disc of radius r floats on water surface and bends the surface downwards along the perimeter making an angle θ with vertical edge of the disc If the disc displaces a weight of water W and surface tension of water is T then the weight of metal disc is
Assertion :Surface tension has the same units as force gradients. Reason :Surface tension is the force gradient along the surface of liquid.