Tiêu đề 10. MECHANICAL PROPERTIES OF FLUIDS.pdf ✅

PAPER 1 (1.) A soap bubble has radius R and volume V . If the excess pressure inside the bubble is P then PV is proportional to : (1) R (2) 2 R (3) 3 R (4) 4 R (2.) A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will be: (1) same as for smaller droplet (2) 1 2 of that for smaller dorplet (3) 1 4 of that for smaller droplet (4) twice of that for smaller dorplet (3.) The surface tension of water can be reduced by : (1) Heating the water (2) By mixing the soap into water (3) Both (a) & (b) (4) None of these (4.) The effective weight of an object when falling with terminal velocity in a viscous medium will be:- (1) Zero (2) Infinite (3) Unity (4) None of these (5.) The diameter of ball A is half of that of ball B . The ratio of their terminal velocities in water will be:(Ball A & B are made from same material) : (1) 1:6 (2) 1: 4 (3) 1:8 (4) 2:5 (6.) Velocity of flow of water in a horizontal pipe is 10 m / sec . Then the velocity head of water will be: ( ) 2 g 10 m / sec = (1) 100 m (2) 10 m (3) 50 m (4) 5 m (7.) The terminal velocity v of a small steel ball of mass m and radius r falling under gravity through air (viscosity  ) & depends upon m r g , , & . Which of the following relation must be dimensionally correct: (1) mg r v   (2) mg v r  (3) v mgr   (4) mgr v   (8.) A Liquid in a cylindrical vessel of radius 0.05 meter is rotated along with the vessel about its axis with a speed of 4 radian/sec. The rise in liquid level will be : ( ) 2 g 10 m / sec = (1) 0.002M (2) 0.01M (3) 0.2M (4) 0.1M
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(9.) Two liquid of densities d d 1 2 & and viscosities 1 and 2 are found to flow through a capillary tube under a constant pressure head at the same mass rate. Then the ratio 1 2  / : (1) 1 2 d d (2) 2 1 d d (3) independent of d d 1 2 & (4) None of these (10.) An incompressible liquid flows through a horizontal tube as shown in figure. Then the velocity v of the fluid is : [A → area of cross section] (1) 1 m / sec (2) 45 m / sec (3) 4 m / sec (4) 1.5 m / sec (11.) The velocity of a small ball of mass m and density 1 d , when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , the viscous force acting on the ball will be: (1) 2 1 mg 1 d d     −   (2) m d d ( 1 2 ) g + (3) 1 2 mg 1 d d     −   (4) md d1 2 (12.) A tank has an orifice near its bottom. The volume of the liquid flowing per second out of the orifice does not depend upon : (1) density of liquid (2) area of the orifice (3) height of the liquid level above the orifice (4) acceleration due to gravity (13.) There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atmosphere (1 atm 5 2 N 10 M = ) then the velocity of water flowing from hole is [density of water 3 3 =10 kg / m ] : (1) 400 m / sec (2) 600 m / sec (3) 60 m / s (4) None of these (14.) Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is  , the surface tension of water is T and the atmospheric pressure