Properties of matter Questions and Answers

a 2 kg c 6 kg 4 kg b d 8 kg 23 The mean distance between the atoms of iron is 3x10 10m and interatomic force constant for iron is 7Nm The Young s modulus of elasticity for iron is a 2 33 x 10 N m2 23 3 x 100 Nm 2 Nm c 2 33 x 10 N m2 2 33x 10 0 Nm 2 b d

DE m 1 81 2 9 3 neet prep High Yielding Test Series Part Test 8 XIth Syllabus Contact Number 9667591930 8527521718 1 9 in 4 Isomeric 162 A man grows into a giant such that his linear dimensions increase by a factor of 9 Assuming that his density remains the same the stress in the leg will change by a factor of 3 1 4 1 2 Page 2 166 The instantaneous angular position of a point on

During blood transfusion the needle is inserted in a vein where the gauge pressure is 2000 Pa At what height must the blood container be placed so that blood may just enter the vein Density of blood 1 06 x 103 kg m 3 and g 9 8 m s 0 192 m O 0 182 m O 0 172 m O 0 152 m

16 Breaking stress of a steel wire of radius 1 mm and length 1 m is 1012 N m Breaking stress of another steel wire of radius 2 mm and length 0 5 m will be 1 4 x 1012 N m 2 10 2 N m 3 2 5 x 10 1 N m 4 1012 N m

M Spring in figure A B are identical but length in A is 3 times of that in B Find the ratio of period TA to TB is Question Type Single Correct Type 1 3 2 1 3 3 3

2 A rectangular bar is fixed to a hard floor Height of the bar is h and its area in contact with the floor is A A shearing force distorts the bar as shown Prove that the work done by the shearing force is 0 W x volume of the bar Here is shear 27 modulus of elasticity Assume the deformation to be small A 7F

88 The figure shows a brake pedal lever It is pivoted at pin B An inextensible wire CE is connected to the lever The cross sectional area of the wire is 80 mm and the load causes a stress of 100 MPa developed in the wire due to 1kN load acting at A The ratio x z is C E A LIKN h 1 8 X fo B Z c 1 4 d 4 1

wave is represented by S f x t The midpoints of a compression zone and an adjacent rarefaction zone are represented by the letter C and R Which of the following is true s s x x c R YOUR ANSWER as t as t C INCORRECT R 0 pressure c Pressure R 2 Bulk modulus of air YOUR ANSWER as x

SolveLancer Test A hollow cylinder is to be punched out of a sheet of aluminum The inner radius is 1cm and outer radius is 2cm and the sheet thickness is 1cm Find the force required if shear strength of Test aluminum is 10 Nm SolveLancer a 4 10 N b 2 10 N c 67 x 104 N d 3 x 10 N

10FI YA A bar is subjected to axial forces as shown If Yis the modulus of elasticity of the bar and A is its cross section area its elongation will be 4F 8FI YA 4FI YA 6FI Mark for Review 2 2F 02 5 hr m 2F

load of 40 kg mass is suspended from a ceiling through a steel wire of radius 2 0 mm Find the tensile stress developed in the wire when equilibrium is achieve Click here to view this option

A vertical glass capillary tube open at both ends contains some water Which of the following shape may be taken by water in tube 1 3 31 4 4 May be 24 The ratio c 7 5 freedom of is then 1 2 3 9 25 The expar constant The expar pressure

A uniform slender rod of length L cross sectional area A and Young s modulus Y is acted upon by the forces shown in the figure The elongation of the rod is A C 3FL 5AY 3FL 8AY 3 F I F 1 3 K SPACE FOR ROUGH WORK 2F B D 2FL 5AY 8FL 3AY

FOL 10920511 Expansion of Ring due to Charge A ring of radius 0 1 m is made out of a thin metallic wire of area of cross section 10 6 m The ring has a uniform charge of r coulomb Find the change in radius of ring when a charge of 10 8 C is placed at the centre of ring Given that Young s modulus of the metal is 2 x 1011 N m

wo conductors are made of the same material and have the same length Conductor A is a lid wire of diameter 1 m Conductor B is a hollow tube of inside diameter 1 m and outside iameter 2 m The ratio of their resistance RA RB is 1 2 2 3

Thermal Properties of Matter 13 A rectangular block is heated from 0 C to 100 The percentage increase in its length is 0 2 TE percentage increase in its volume is a 0 6 b 0 10 c 0 2 d 0 4 of the following graphs correcth

A cuboidal block of sides a b c is fixed on ground The top is pushed by a horizontal force F as shown The angle o by which the block deforms is n is modulus of rigidity A F abn T 910 asmu a B b acn C F F bcn 1A 02 ulov F D b c XL

A small spherical ball falling through a viscous medium of negligible density has terminal velocity v Another ball of the same mass but of radius twice that of the earlier falling through the same viscous medium will have terminal velocity a v b v 4 c v 2 d 2v

A 5 metre long wire is fixed to the ceiling A weight of 10 kg is hung at the lower end and is 1 metre above the floor The wire was elongated by 1 mm The energy stored in the wire due to stretching is Question Type Single Correct Type 1 Zero 2 0 05 joule 3 100 joule

A wire of length L and cross sectional area A made of a material of Young s modulus Y is pulled with a constant force F on a rough horizontal surface having coefficient of friction as shown in fig Then n Fl extension in the wire is YA Fl extension in the wire is 2YA You marked tension in the rod at the middle point of the F rod is 2 tension in the rod at the middle point of the F umo

The velocity of the surface layer of water in a river of depth 10 m is 5 ms The shearing stress between the surface layer and the bottom layer is Coefficient of viscosity of water n 10 SI units 2 a 0 6 10 Nm b 0 8x10 3 Nm c 0 5 10 3 Nm 2 d 10 Nm

The strain stress curve of three wires of different materials are shown in the figure P Q R are the elastic limits of the wires The figure shows that V strain stress R Elasticity of wire P is maximum Elasticity of wire Q is maximum Tensile strength of R is maximum None of these

A platform is suspended by four wires at its corners The wires are 3m long and have a diameter of 2 0mm Young s modulus for the material of the wires is 1 80 000 MPa How far will the platform drop due to elongation of the wires if a 50 kg load is placed at the centre of the platform

14 The extension produced in a wire by the application of load is 5 mm The extension in a wire of the same material and length but half the radius by the same load is a 20 mm c 40 mm b 30 mm d 50 mm

23 When metal wire elongates by hanging load on it then AV fractional change in volume is proportional to V a IAI C 2A 1 b d Al 1 AL 1

d 9 times of A 6 A block of mass 500 kg is suspended by wire of length 70 cm The area of cross section of wire is 10 mm When the load is removed the wire contracts by 0 5 cm The Young s modulus of the material of wire will be a 10 10 4 N m b 4 x 10 4 N m c 8 x 10 N m d 7 x 1010 N m Two wires A and B

a bimetallic strip is heated it will A bend towards the metal with lower thermal expansion coefficien B bend towards the metal with higher thermal expansion coefficie C twist itself into helix D have no hending

11 A 40 cm long wire having a mass 3 2 gm and area of cross section 1 mm is stretched between the supports 40 05 cm apart In its fundamental mode it vibrate with a frequency 1000 64 Hz Find the young s modulus of the wire Soln f 2 2 I l 1 2l J 21 Stress S f je 55 the x 2 l S sl 0 05 cm T SPA 1 21 Jastrain S

The following four wires are made of the same material Which of these will have the largest extension when the same tension is applied Length 50 cm and diameter 2 mm Length 100 cm and diameter 1 mm Length 200 cm and diameter 2 mm Length 300 cm and diameter 3 mm

a 48 45 A square plate of 0 5 m side length parallel to a second velocity of 0 5 m s both plates being plate with a immersed in water If the viscous force is 0 081 N and the coefficient of viscosity is 0 02 poise distance between the plates in cm is b 1 cm a 2 cm c 3 cm d 0 4 cm Jever of liquid its upper layer pulls it forward

180 A soap bubble is given a positive charge then its radius Decreases TK Tor Review Increases Remains unchanged Nothing can be predicted as information is insufficient

Laminar flow takes place in a circular tube At what distance from the boundary does the local velocity equal the average velocity and a 0 29R c 0 32R er arst fandafl en andra b 0 94R d 0 53R

60 A glass slide 15 cm long 2 cm thick is suspended from the arm of a balance with its lower edge horizontal and equibalanced Now the slide is dipped in the soap solution and is raised such that the lower end just touches the surface of the soap solution If now a block of 400mg has to be placed in the other having unknown surface tension then what will be the value of surface tension of solution a 1 1 x 10 N m c 1 10 x 10 N m b 1 1 N m d None of these

d None of the above 6 Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by 75 10 N force due to the weight of the liquid If the surface tension of the water is 6 x 102 Nm the inner circumference of the capillary must be a 1 25 x 10 2 m b 0 50 10 m 65 x 10 m 1

d 4 T nr R 0 A space 2 5 cm wide between two large plane surfaces is filled with oil Force required to drag a very thin plate of area 0 5 m just midway the surfaces at a speed of 0 5 m sec is IN The coefficient of viscosity in kg s m is hum a 5 x 10 c 1 x 10 2 2 5 c m4 ZFotia 1 25 cm b 2 5 10 2 d 7 5 x 10 2 An L sh with co of the 1 right an is as sh much s effect o g 10

9 The radii and Young s moduli of two uniform wires A and B are in the ratio 2 1 and 1 2 respectively Both wires are subjected to the same longitudinal force If the increase in length of the wire A is one percent the percentage increase in length of the wire B is a 1 0 b 1 5 c 2 0 d 3 0 47

3 A rod is fixed between two points at 50 C The coefficient of linear expansion of material of rod is 2 x 10 5 C and young s modulus is 1 5 x 10 N m What is the stress developed in the rod if temperature of rod becomes 70 C a 3 x 104 N m c 9 x 10 2 N m b 6 107 N m d 11x 10 N m

34 Two wires of the same material and length but diameter in the ratio 1 2 are stretched by the same load The ratio of elastic potential energy per unit volume for the two wires is a 1 1 c 4 1 d 16 1 b 2 1 b 2 1

3 Young s moduli of two wires A and B are in the ratio 7 4 Wire A is 2 m long and has radius R Wire B is 1 5 m long and has radius 2 mm If the two wires stretch by the same length for a given load then the value of R is close to 2019 Main 8 April II a 1 3 mm b 1 5 mm c 1 9 mm d 1 7 mm 4 A steel wire having a radius of 2 0 mm carrying a load of 4 kg

A load of mass M kg is suspended from a steel wire of length 2 m and radius 1 0 mm in Searle s apparatus experiment The increase in length produced in the wire is 4 0 mm Now the load is fully immersed in a liquid of relative density 2 The relative density of the material of load is 8 The new value of increase in length of the steel wire is 2019 Main 12 Jan II a zero c 4 0 mm b 5 0 mm d 3 0 mm A rod of length L at room temperature and uniform area of cross section 4 is made of a metal having coefficient of

A tank full of water has a small hole at its bottom Let t be the time taken to empty first one third of the tank and to be the time taken to empty second one third of the tank and t3 be the time taken to empty rest of the tank then O t t t3 O t t t3 O t 1 13 O t t t3 A

5 A boy s catapult is made of rubber cord which is 42 cm long with 6 mm diameter of cross section and of negligible mass The boy keeps a stone weighing 0 02 kg on it and stretches the cord by 20 cm by applying a constant force When released the stone flies off with a velocity of 20 ms Neglect the change in the area of cross section of the cord while stretched The Young s modulus of rubber is closest to Main 2019 8 April 1 a 106Nm 2 2 b 10 Nm 2 c 10 Nm d 10 Nm 2

Thickness of quartz is changed from 2mm to 2 8 mm then ratio of new to old frequency 10 O 0 20 05 O 0 71 The electrical conductivity of a

The breaking stress of a material is 10 pascal If the density of material is 3 10 kg m The maximum length of the wire for which it does not breaks under its own weight will be 3 4 m 3 3 104 m 3 4 x 105 m 3 4 x 10 m

93 C and Si both have same lattice structure having 4 bonding electrons in each However C is insulator whereas Si is intrinsic semiconductor This is because 2012 a In case of C the valence band is not completely filled at absolute zero temperature In case of C the conduction band is partly filled even at absolute zero temperature The four bonding electrons in the case of C lie in the second orbit whereas in the case of Si they lie in the third d The four bonding electrons in the case of C lie in the third orbit whereas for Si they lie b c

A gas undergoes a process where pressure P 3V4 at every instant here V is the volume Find an expression for the bulk modulus B in terms of volume if it is related to P and V as B VdP dV 1 3V 3 2 12 V3 3 12 V4 4 12 V5

Consider the situation shown in figure The force F is equal to the m g 2 If the area of cross section of the string connecting both block is A and its Young s modulus Y the strain developed in it is The string is light and there is no friction anywhere m A F mar 2

The temperature coefficient of resistance of a conductor is 0 0025 C At 200 K its resistance is 2 The resistance of the conductor will be 8 Q at temperature about 1 400 K 3 600 K 2 4 OS 300 K 800 K

9 Water flows steadily through a horizontal pipe of variable cross section If the pressure of water is p at a point where flow speed is v the pressure at another point where the flow of speed is 2v is take density of water as p 3pv 2 a p 3pv b p dn pv 2 07

A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied which stretches their combined length by 1 cm The two wires will have Question Type Single Correct Type 1 2 3 Different stresses and strains The same stress and strain The same strain but different stresses 4 The same stress but different strains