Properties of matter Questions and Answers

Two immiscible liquids with densities p and p are taken in a U tube as shown Then A PA PB B P Pc P h P2 h h D P2 h2 h P P2 B h

4 Compressibility of an oil is 20 x 10 6 atm A hydraulic press contains 0 5 m of this oil What will be the decrease in volume of oil if a pressure of 100 standard 10 3 m atmosphere is applied on it

Does a bar magnet exert a torque on itself due to its own field Does one element of a current carrying wire exert a force on another element of the same wire A Magnetic field arises due to charges in motion Can a system have magnetic moments even though its net charge is zero es

5 Consider an incompressible and non viscous liquid in a container Density of liquid is p and acceleration due to gravity is g and h represents the vertical separation between two points All points considered in Column I are inside the liquid Match the statements given in Column I with corresponding all possible conditions given in Column II Column I A Pressure difference between two distinct points along same vertical line at a separation h is p gh B Pressure difference between any two distinct points on same horizontal level is zero C Pressure difference between any two distinct points on same horizontal level is non zero O Pressure difference between any two distinct points on same vertical line is zero Column II P container is stationary Q container is accelerating in horizontal direction R Container is falling freely S Container is accelerating up in vertical direction with an acceleration g T Container is rotating about a vertical axis passing through its axis of symmetry

Why two or more mercury drops for single drop when brought in contact each other

Matching Type Questions 14 A rectangular box is completely filled with a liquid of density p as shown in the fig The box is moved horizontally with a constant acceleration a Determine the gauge pressures at the four points A B C and D Column I A At point A B At point B C At point C D At point D D H 1 c P A Column II P pal Q p R phg pal S p gh

A cube of specific gravity 0 6 and side L floats in a rectangular tank containing water with square base of side 3L Assume the cube remains vertical a Find the ratio of area of the vertical face of cube which is inside water to that of vertical face of cube which is outside water b Now the tank is accelerated horizontally with acceleration of g m s Find angle made by water surface with horizontal F 3L

A piece of metal weights 46g in air When it is immersed in a liquid of specific gravity 1 24 at 27 C it weighs 30 g When the temperature is raised to 42 C the metal piece weighs 30 5 g If the specific gravity of the liquid at 42 C is 1 20 the coefficient of volume expansion of liquid Assuming metal is not expanding D M 1 3 1 315 C 11 C 525 2 1 465 831 C OL LXDT 1 C DL x 07

12 An ideal gas has adiabatic exponenty It contracts according to the law PV a where a is a positive constant For this process the Bulk modulus of the gas is 1 P 3 a P 2 P 4 1 P For 1 18

3 Which of the following is the most suitable as shock absorbed 1 3 stress stress strain strain 2 4 stress stress strain strain

3 0 and 0 5 8 A uniform pressure P is exerted on all sides of a solid cub34 It is heated through At in order to bring its volume back the value it had before the application of pressure Then 1 At P By 2 At At B Py By

The length of an elastic string is x meter when the tension is 8N and y meter when the tension is 10N The length in metres when the tension is 18N is 1 4x 5y 2 5y 4x 4 4y 9y

A uniform bar of square cross section is lying along a frictionless horizontal surface A horizontal force is applied to pull it from one of its ends then A The bar is under same stress throughout its length B The bar is not under any stress because force has been applied only at one end C The bar simply moves without any stress in it D The stress developed reduces to zero at the end of the bar where no force is appli

The property of matter by virtue of which it regains its original shape and size when th deforming forces have been removed is called a Plasticity c Rigid Body b d Deforming Force Elasticity

he load versus elongation graph for four wires is shown The thinnest wire is Load P R S Elongation

47 A Copper wire of length Lou Young s modulus Yea and diameter d is hung from the ceiling An Aluminium wire of length LA Young s modulus YAI and of same diameter d is joined end to end at the free end of the Copper wire If under the action of a load applied at the free end of the Aluminium wire the net elongation is AL the applied load is AL Yo La YAL ALLA C A Y YAAL YO LAI YAILO

6 The surface tension and vapour pressure of a fluid at 20 C is 8 x 10 2 N m and 4 10 Pa respectively What is the radius of the smallest spherical fluid droplet which can form without evaporating at 20 C 1 40 m 3 6 81 10 m 2 4 m 4 9 10 m

5 The length of wire increases by 9 mm when weight of 2 5 kg is hung from the free end of wire If all conditions are kept the same and the radius of wire is made thrice the original radius find the increase in length Ans 1 mm

1 For a certain gas the ratio of specific heats is giver to be y 1 5 For this gas 1 C 3R J 2 Cp 3R J 5R

A rod of length 1 cross sectional area A and Young s modulus Y is subjected to two forces F and 10a b F 12AY 2 2F at its two ends The heat generated in the rod is found to be a b Positive integers of O 2 Find a b

A semicircular glass tube filled with water containing an air bubble is sealed at its ends The tube is held with its plane vertical and made to move in its plane with a constant acceleration the bubblc stays aside of the highest point as shown than acceleration vector of the tube A It points towards the left B It points towards the right e Its magnitude is g tan a D It magnitude is g cot a Vertical a Centre

A cube made of material having a density of 0 9 x 103 kg m floats between water and a liquid of density 0 7 x 10 kg m which is immiscible with water What part of the cube is immersed in water 40 1 3 1 2 2 3 3 3 4 4 3 7

Figure shows elongation versus temperature for two different materials If these metals be employed to form a bimetallic strip of thick ness 6cm and heated it bends into an arc the radius of curvature changes with temperature as shown The linear expansivity of the metals are Elongation 1 2 3 4 Temperature C 1 8x10 6 C 3 6x10 6 C Radious of curvature m 50 Temperature C 2 2x10 6 C 4 3x10 6 C

A rod of length f coefficient of thermal expansion a is heated by a temperature difference AT It was constrained between two walls at a distance As a result it bends to form a circular arc The radius of arc is 1 2 3 C 20AT 6cAT 2 5 AT 112 RO R

15 If 3 x 10 J of work is done in stretching a wire through 1 mm the work done in stretching it through 3 mm is 1 9 x 10 3 J 3 27 10 3 J 2 8 10 3 J 4 Data is not complete

3 OA In the given figure if the dimensions of the two wires are same but materials are different then Young s modulus is suitable shock absorber 109 Load B Extension 2 More for B than A 4 None of these wir when M is hung from it is 1 More for A than B 3 Equal for A and B

A In the arrangement shown a rod of length AA has a rigid block fixed at its end A End A of the rod is fixed to a wall as shown in the figure If the temperature of the rod is increased by AT causing it to have a thermal expansion Al Ala If the coefficient of thermal expansion of the rod is a stress developed in the rod will be Young s modulus of the material of the rod is Y l A rast Y CAT Al C stress developed is tensile Ala l D stress developed is compressive 3 Y AT 5 A V B

The velocity of water in a river is 18 km hr near the surface If the river is 5 m deep find the shearing stress between the horizontal layers of water The co efficient of viscosity of water 10 2 poise a 10 N m 10 3 N m b 10 2 N m d 10 4N m

3 10 Asteel wire of radius 0 4 x 10 m and length 1 m is tightly clamped between points A and B which are separated by 1 m and in the same horizontal plane A mass is hung from the middle point of the wire such that the middle point sags by 2 cm from the original position Compute the mass of body

ess A force F is applied along a rod of transverse sectional area A The normal stress to a section PQ inclined 0 to transverse section is 1 3 F sine A F 2A sin 20 P 2 4 0 F A F Q cose cos 0 F

figure Now from this position tube is pulled up slightly then length of the mercury column in the tube will ba not perfect vacuum 70 cm 40 3 sh Educational Services Limited Pend 1 Remain 70 cm 2 Slightly more than 70 cm

1 Calculate the amount of energy needed to break a drop of petrol of volume lcc into a thousand million drops of equal size S T of petrol 0 025 N m

A metal sphere with radius 4 36 cm is suspended in a large metal box with interior walls that are maintained at 36 Celsius Th emissivity of the metal sphere is 82 At what rate should heat energy be supplied to the sphere to maintain the sphere at a temperature of 90 Celsius

An open U tube of uniform cross section contains mercury If 27 2 cm of water column is poured into one limb of the tube how high does the mercury surface rise in the other limb from its initial level Pw 1 g cm and PHg 13 6 g cm

3 A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V If T is the surface tension of the liquid then AIPMT 2014 1 Energy 4VT 2 Energy 3VT 1 1 r R 3 Energy 3VT 1 1 R is released is absorbed 1 1 GR r R 4 Energy is neither released nor absorbed is released

Three blocks each of same mass m are connected with wires w and we of some cross sectional area a and young s modulus y Neglecting friction the strain developed in wire w is 1 3 2 mg 3 ay 5 mg 3 ay m W m 2 4 Wa m 3 mg 2 ay 3 mg 5 ay

12 Calculate the viscous force acting on a rain drop of diameter 1 mm falling with a uniform velocity 2 m s through air The coefficient of viscosity of air is 1 8 x 105 Ns m

4 Two soap bubbles of radii equal to 6 cm and 8 cm are touching each other over a common surface Radius of the common surface will be 1 3 42 cm 3 24 cm 2 4 cm 4 10 cm

3 1 2 3 Q R A uniform rod of mass M and length L is placed on a smooth horizontal surface If a horizontal force F is applied at its one end as shown in the figure then elongation produced in the rod will be Y is young s modulus of material of the rod and A is cross sectional area of the rod M L F 4 FL YA 2FL YA FL 3YA FL 2YA m F t A XAL 2 2 x6x10 5 x 6 1 8 N 2 4 N 3 6 N 4 1 N Viscous drag on a spherica 1 Size of the body 2 Velocity with which be 3 Viscosity of fluid 4 Material of the body A wooden ball of dens water upto a depth d b then released The ac water will be g 10 m 1 10 m s 2 5 m s 3 15 m s 4 20 m s2 2 Space for Rough Work

23 The following four wires are made of the same material Which of these will have the largest extension when the same tension is applied 1 length 300cm diameter 3mm cisay lod 2 length 50 cm diameter 0 5 mm 3 length 100 cm diameter 1mm 4 length 200 cm diameter 2mm 100

A smooth rubber cord of length with spring const k is suspended from O The other end is fitted with a bob B A small sleeve of mass m starts falling from O neglecting the masses of the cord and bob find the maximum elongation of the cord 1 3 mg k mg 1 1 1A0 2k mg A O B 2 4 mg k mg 1 1 2k mg k ma

Railway lines are laid with gaps to allow for expansion If the gap between steel rails 66 m long be 3 63 cm at 10 C then at what temperature will the lines just touch each other Coefficient of linear expansion of steel Ans 60 C is 1 1 x 10 5 C X

A wire is elongated by an external force which is always equal to restoring force developed in the wire material W work is done by the external force in elongating wire by x unit then energy of wire increases by 1 W 3 2 14 2 LAY W 2 W

An air bubble of radius 1 mm is located at a depth of 20 cm below water level The excess pressure inside the bubble above the atmospheric pressure is Given the surface tension of water is 0 075 Nm and density is 1000 kg m 1 2110 Pa 2 2210 Pa

PHYSICS BY SAAMI SIR XI XI elasticity of the cube is and its coefficient of volume 38 A ball falling in decrease in its expansion is a modulus of the Pa b a 19 6x10 N B c 196x1010 a a P P a d PB 15 00

A metal wire of length L is suspended vertically from a rigid support When a body of mass M is attached to the lower end of wire the elongation of the wire is then the incorrect statement is 1 Heat produced is Mgl 2 2 Elastic potential energy stored in the wire is Mgl 2 3 The loss in gravitational potential energy of mass M is Mgl

4 A wire of length 5 m is twisted through 30 at free end If the radius of wire is 1 mm the shearing strain in the wire is 1 30 3 1 2 0 36 4 0 18

Show that if Ap the change in density is very small com pared to the original density p then the relation p K can be replaced by the relation p KA K bulk modulus 12

When a load of 10 kg is suspended from one end of a wire of length 1 m it increases in length by 0 1 cm If the Poisson s ratio for the material of the wire is then calculate the change in volume of the wire cross sec tional area of the wire 0 1 cm 0 0033 cm

5 A soap bubble of radius R is surrounded by another soap bubble of radius 2R as shown Take surface tension S Then the pressure inside the smaller soap bubble in excess of the atmospheric pressure will be 1 4S R 2 3S R 3 6S R 2R Atmospheric pressure 4 None of these