{"id":19331,"date":"2018-01-29T06:48:35","date_gmt":"2018-01-29T06:48:35","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=19331"},"modified":"2020-11-24T09:55:29","modified_gmt":"2020-11-24T04:25:29","slug":"frank-icse-solutions-class-9-physics-fluids","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/frank-icse-solutions-class-9-physics-fluids\/","title":{"rendered":"Frank ICSE Solutions for Class 9 Physics – Fluids"},"content":{"rendered":"
PAGE NO: 157<\/strong><\/span> Solution 2:<\/strong><\/span> Solution 3:<\/strong><\/span> Solution 4:<\/strong><\/span> Solution 5:<\/strong><\/span> Solution 6:<\/strong><\/span> Solution 7:<\/strong><\/span> Solution 8:<\/strong><\/span> Solution 9:<\/strong><\/span> Solution 10:<\/strong><\/span> Solution 11:<\/strong><\/span> Solution 12:<\/strong><\/span> Solution 13:<\/strong><\/span> Solution 14:<\/strong><\/span> Solution 15:<\/strong><\/span> Solution 16:<\/strong><\/span> Solution 17:<\/strong><\/span> Solution 18:<\/strong><\/span> Solution 19:<\/strong><\/span> Solution 20:<\/strong><\/span> Solution 21:<\/strong><\/span> Solution 22:<\/strong><\/span> Solution 23:<\/strong><\/span> PAGE NO : 158<\/strong><\/span> Solution 25:<\/strong><\/span> Solution 28:<\/strong><\/span> Solution 29:<\/strong><\/span> Solution 30:<\/strong><\/span> Solution 31:<\/strong><\/span> Solution 32:<\/strong><\/span> Solution 33:<\/strong><\/span> PAGE NO: 173<\/strong><\/span> Solution 2:<\/strong><\/span> Solution 3:<\/strong><\/span> Solution 4:<\/strong><\/span> Solution 5:<\/strong><\/span> Solution 6:<\/strong><\/span> Solution 7:<\/strong><\/span> Solution 8:<\/strong><\/span> Solution 9:<\/strong><\/span> Solution 10:<\/strong><\/span> Solution 11:<\/strong><\/span> Solution 12:<\/strong><\/span> Solution 13:<\/strong><\/span> Solution 14:<\/strong><\/span> Solution 15:<\/strong><\/span> PAGE NO : 174<\/strong><\/span> Solution 17:<\/strong><\/span> Solution 18:<\/strong><\/span> Solution 19:<\/strong><\/span> Solution 20:<\/strong><\/span><\/p>\n Solution 21:<\/strong><\/span> Solution 22:<\/strong><\/span> Solution 23:<\/strong><\/span> Solution 24:<\/strong><\/span><\/p>\n Solution 25:<\/strong><\/span> Solution 26:<\/strong><\/span> Solution 27:<\/strong><\/span> Solution 28:<\/strong><\/span> Solution 30:<\/strong><\/span> Solution 31:<\/strong><\/span> Solution 32:<\/strong><\/span>
\nSolution 1:<\/strong><\/span>
\nThe thrust on the unit surface is known as pressure. The SI unit of pressure is Nm-2<\/sup>.<\/p>\n
\nPressure is given by
\nP = h Xp<\/sub> Xg<\/sub>.
\nWhere h is height of liquid column, p is density of liquid, g is acceleration due to gravity.
\nDensity of mercury is = 1.36 x 104<\/sup> kg\/m3<\/sup>.
\nh= height of mercury column which is given = 75 cm = 0.75 m.
\nSo pressure = 0.75 x 1.36 x 104 x 9.8 = 9.996 x 104<\/sup>Nm-2<\/sup>.<\/p>\n
\nPressure is a scalar physical quantity.<\/p>\n
\nOne pascal is defined as the pressure exerted on a surface of area 1 m2<\/sup> by a force of 1 Newton acting normally on the surface.<\/p>\n
\nThe force acting normally on a surface is known as thrust.
\nSI unit of thrust is N.<\/p>\n
\n<\/p>\n
\nWater can’t be used in place of mercury in a barometer because of its low density. It would require 10.34 m long tube to measure 1 atmospheric pressure which is not practically possible while mercury having high density (13.6 g\/cc) would require only 0.76 m long pipe which is practically possible.<\/p>\n
\nPressure is the physical quantity which is measured in bar.<\/p>\n
\nThrust is a vector quantity.<\/p>\n
\nThrust on a surface is the force acting normally on a surface while pressure on a surface is thrust acting on the unit area of a surface.<\/p>\n
\n<\/p>\n
\nLake has greater pressure at the bottom than the surface as pressure increases with depth. So when gas bubble is released at the bottom of the lake it experiences more pressure and is small in size but as it rises upwards the pressure experienced by it decreases. So it grows in size as it moves towards the surface from bottom.<\/p>\n
\nA dam has broader walls at the bottom than at the top because the pressure exerted by a liquid increases with its depth, and at any point at a particular depth liquid pressure is same in all directions. Now as more pressure is exerted by water on the wall of the dam as depth increases. Hence a thick wall is constructed at the bottom of dam to withstand greater pressure.<\/p>\n
\n<\/p>\n
\nThe pressure at a point in a liquid depends upon on the following three factors:<\/p>\n\n
\n<\/p>\n
\nA substance having a tendency to flow is called fluid.
\nA fluid exerts pressure on the bottom due to its weight and on the walls of the container in which it is enclosed by virtue of its ability to flow. This is called fluid pressure.<\/p>\n
\nThe laws of liquid pressure are<\/p>\n\n
\n<\/p>\n
\nA diving suit is a garment or device designed to protect a diver from the underwater environment.<\/p>\n
\nThere are five main types of ambient pressure suits. These are wetsuits, drysuits, semidry suits, dive skins etc.<\/p>\n
\n<\/p>\n
\nManometer is a simple pressure gauge that measures differences in pressure at the two ends of the apparatus.
\nManometer is a U shaped tube containing water whose one limb is dipped in vessel and vessel is tightly covered with plastic sheet. U shaped tube has two limbs one towards the vessel and other is opened to atmosphere.
\nNow if level of water toward atmospheric open limb is more than level of water in limb towards apparatus end then liquid is said to be at higher pressure than atmosphere. And if level of water toward atmospheric open limb is less than level of water in limb towards apparatus end then liquid is said to be at lower pressure than atmospheric pressure.<\/p>\n
\nSolution 24:<\/strong><\/span>
\n<\/p>\n
\nA hydraulic press works on the principle of pascal’s law. A hydraulic press can be used for extracting juice of sugarcane, sugar beet etc.<\/p>\n
\nPascal’s law states that pressure applied to an enclosed liquid, is transmitted equally to every part of the liquid or in other words when pressure is applied at a point in a confined fluid, it is transmitted undiminished and equally in all directions throughout the liquid.
\nHydraulic machines such as hydraulic press, hydraulic brakes and hydraulic jack are application of pascal’s law.<\/p>\n
\nAltimeter is a device which is used in an aircraft to measure its altitude.<\/p>\n
\nAtmospheric pressure decreases with increase in height. our atmosphere comprises of a large number of parallel layers. The pressure on a layer is equal to the thrust or weight of the gaseous column on the unit area of that layer. Hence, as we go up, the weight of the gaseous column decreases, which decrease the pressure of the gaseous column.<\/p>\n
\nAneroid means containing no liquid and aneroid barometer is evacuated so it tends to collapse under the pressure of air. The stout spring balances the thrust on the metal box due to normal air pressure and prevents the box from collapsing. As this type of barometer doesn’t contain any liquid so it got its name aneroid barometer.<\/p>\n
\nBarometer is a device which is used for measuring atmospheric pressure. Barometers are used in weather forecasting and in measuring altitudes.<\/p>\n
\nMercury is used in barometer because<\/p>\n\n
\nSolution 1:<\/strong><\/span>
\nAll liquid exerts an upward force on the body placed in it. This Phenomenon is called buoyancy.<\/p>\n
\nThe upward force which any liquid exerts upon a body placed in it is called the upthrust. The SI unit of upthrust is N.<\/p>\n
\nBuoyant force act on a body in upward direction.<\/p>\n
\nUpthrust is defined as the upward force on the object provided by the liquid because the object has displaced some of the fluid.<\/p>\n
\nWhen block of cork is immersed in water buoyant force acts on it in upward direction so to overcome this force we have to apply an equal force in downward direction to keep block of cork inside water.<\/p>\n
\nWood has density less than water so volume of water displaced by it is more than the volume of wooden block submerged so force of upthrust is greater than the weight of wood which pushes wooden block on the surface. Hence, a piece of wood when left under water again comes to the surface.<\/p>\n
\nA body will weigh more in air as weight of body acts in downward direction and there is no force in upward direction while body submerged in water weigh less because an upthrust act on the body in upward direction so the resultant weight of the body decreases.<\/p>\n
\nUpthrust or buoyant force depends on the following factors:<\/p>\n\n
\n<\/p>\n
\nWeight of the body in air = 300 gf.
\nApparent Weight of the completely immersed body in water = 280 gf.<\/p>\n\n
\nLoss in weight = 300 gf – -280 gf = 20 gf.<\/li>\n
\nEdge of metal cube = 5 cm.
\nDensity of the metal cube = 9 gcm-3<\/sup>\u00a0= 9 x 103<\/sup> kgm-3<\/sup>.
\nVolume of the metal cube = 125 cm3<\/sup> = 125 x 10-6<\/sup>\u00a0m3<\/sup>.
\nMass of the metal cube =9 x 103<\/sup> x 125 x 10-6<\/sup>\u00a0= 1125 x 10-3<\/sup>\u00a0=1.125 kg.
\nWeight of the liquid = mass x gravity = 1.125 x 10 = 11.25 N.
\nDensity of liquid = 1.2 gcm-3<\/sup>= 1.2 x 103<\/sup> kgm-3<\/sup>.
\nUpthrust of the liquid = V Xp<\/sub> Xg<\/sub>.
\nUpthrust = 125 x 10-6<\/sup>\u00a0x 1.2 x 103<\/sup> x 10 = 1.5 N.
\nApparent weight of the body = weight of liquid – upthrust
\nApparent weight = 11.25 N – 1.5 N = 9.75 N
\nTension in the string is equal to the apparent weight of the body
\nSo, tension in string would be 9.75 N.<\/p>\n
\nIt is easier to lift a heavy stone under water because in water an upthrust acts on the upward direction which reduces the apparent weight of the stone and makes it easy to lift.<\/p>\n
\nPrinciple of Archimedes’ states that when a body is totally or partially immersed in a fluid, it experiences an upthrust equal to the weight of the fluid displaced by it.<\/p>\n
\n<\/p>\n
\n<\/p>\n
\nSolution 16:<\/strong><\/span>
\nWood has density less than water so volume of water displaced by it is more than the volume of wooden block submerged so force of upthrust is greater than the weight of wood which makes it float on the water surface. And the apparent weight of the piece of the wood would be zero.<\/p>\n
\nDensity of iron is less than the density of mercury so it will float on the surface of the mercury. Apparent weight of the floating iron ball is zero.<\/p>\n
\nIron nail has density less than that of mercury so it will float on the surface of mercury but in the case of water it will sink because the density of iron nail is more than that of water.<\/p>\n
\nNo, the relative density of a substance is the ratio of the density of the substance to the density of water at 40<\/sup>C.<\/p>\n\n
\nDensity of iron is more than the density of water so it sinks down in the water but in case of ship, it is design in such a manner that it encloses large quantity of air in air tight bags and in rooms and corridors which makes the average density of ship less than that of water and ship floats on the surface of the water.<\/p>\n
\nThe fractional part submerged equals the ratio of the density of the material of the block to the density of the liquid.
\n(Density of floating body \/ Density of liquid) = fraction submerged.
\nThe Fraction of ice submerged in water remain same as density of ice and water remain same during melting. As ice melts some volume of ice decrease and convert into water and volume of water increase by same amount. So, level of water remains same during melting.<\/p>\n
\nThe fractional part submerged equals the ratio of the density of the material of the block to the density of the liquid.
\n(Density of floating body \/ Density of liquid) = fraction submerged.
\nHeight of wooden piece = 15 cm.
\nHeight of wooden piece sinks in water = 10 cm.
\nFraction of wooden piece submerged in water = 10\/15 = 0.67.
\nAs liquid is water so ratio of Density of wooden by density of water gives relative density of floating wooden piece. So, relative density of wooden block is 0.67.
\nHeight of wooden piece = 15 cm.
\nHeight of wooden piece sinks in spirit = 12 cm.
\nFraction of wooden piece submerged in water = 12\/15 = 0.8.
\nWe know density of wooden piece = 0.67
\n(Density of floating body \/ Density of liquid) = fraction submerged.
\nDensity of liquid\/spirit = (Density of floating body \/fraction submerged)
\nDensity of liquid\/spirit = 0.67\/0.8 = 0.83.
\nRelative density of spirit is 0.83.<\/p>\n\n
\nThe fractional part submerged equals the ratio of the density of the material of the block to the density of the liquid.
\n(Density of floating body \/ Density of liquid) = fraction submerged.
\nFraction of wooden piece submerged in water = 2\/3 = 0.67.
\nAs liquid is water so ratio of Density of wooden by density of water gives relative density of floating wooden piece.
\nSo, relative density of wooden block is 0.67.
\nDensity of water in SI system = 1000 Kg m-3<\/sup>.
\nDensity of wood=relative density x density of water =0.67 x 1000 Kg m-3<\/sup>\u00a0=670 kgm.
\nFraction of wooden piece submerged in oil = 3\/4 = 0.75.
\nWe know density of wooden piece = 0.67
\n(Density of floating body \/ Density of liquid) = fraction submerged.
\nRelative Density of oil = (Relative Density of wooden block\/fraction submerged)
\nDensity of oil = 0.67\/0.75 = 0.893.
\nDensity of water in SI system = 1000 Kg m-3<\/sup>.
\nDensity of oil =relative density x density of water =0.893 x 1000 Kg m-3<\/sup>\u00a0=893 kgm-3<\/sup>.<\/p>\n
\nRelative density of Ice = 0.92
\nRelative density of sea water = 1.025
\nLet total volume of iceberg = X cm3<\/sup>.
\nVolume of iceberg above water = 800 cm3<\/sup>.
\nVolume of iceberg in submerged in the water = (X – 800) cm3<\/sup>.
\nFraction of iceberg submerged = (X- 800)\/X
\nNow we know that fractional part submerged equals the ratio of the density of the material of the block to the density of the liquid.
\n(Density of ice \/ Density of sea water) = fraction submerged
\n0.92\/1.025 = (X-800)\/X
\n0.8975 X = X – 800
\nX – 0.8975 X = 800
\n0.1025 X = 800
\nX = 800\/0.1025 = 7804.8 cm3<\/sup>.
\nTotal volume of iceberg = 7804.8 cm3<\/sup>.<\/p>\n
\nRelative density of wax = 0.95
\nRelative density of brine = 1.1
\n(Density of wax\/ Density of brine) = fraction submerged
\n0.95\/1.1 = fraction of volume submerged
\nFraction of volume submerged = 0.86<\/p>\n
\nRelative density of Ice = 0.9 cm
\nRelative density of sea water = 1.1 cm
\n(Density of ice \/ Density of sea water) = fraction submerged of iceberg
\n0.9\/1.1 = fraction of iceberg submerged
\nFraction of iceberg submerged = 9\/11.<\/p>\n
\nLactometer is commonly used for testing the purity of milk.<\/p>\n
\nDensity of water at 40<\/sup>c in SI system is = 1000 Kgm-3<\/sup>.<\/p>\n
\nSide of wooden cube = 10 cm.
\nVolume of wooden cube = 10 x 10 x 10 = 1000 cm3<\/sup>.
\nMass of wooden cube = 700 g.
\nDensity of wooden cube = mass\/volume = 700\/1000 = 0.7 gcm-3<\/sup>.
\nDensity of water = 1 gcm-3<\/sup>.
\n(Density of floating body \/ Density of liquid) = fraction submerged
\n0.7\/1 =fraction submerged
\nFraction of wooden cube submerged in water = 0.7
\nHeight of wooden cube = 10 cm
\nPart of wooden cube which is submerged = 10 x 0.7 = 7 cm
\nSo, wooden cube will float in water with 3 cm height above the water surface.<\/p>\n