PHYSICS CLASS Jr-X E1-E3 - Narayana Schools · PHYSICS_CLASS_Jr-X_E1-E3 WORK, ... After collision...

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12 Narayana Group of Schools PHYSICS_SIMPLE HOLIDAY PACKEGE Class-Jr.X_E1-E3 SIMPLE HOLIDAY PACKEGE PHYSICS_CLASS_Jr-X_E1-E3 WORK, POWER & ENERGY 1. A 5.0 kg box rests on a horizontal surface. The coefficient of kinetic friction between the box and the surface is 0.5. A horizontal force pulls the box at constant velocity for 10 cm. The work done by the applied horizontal force and the frictional force are respectively (take g=10m/s 2 ) 1) 2.5 J and 2.5 J 2) zero and 2.5 J 3) 2.5 J and zero 4) 2.5 J and - 2.5J 2. A force acts on a body and displaces it in its direction. The graph shows the relation between the force and displacement, the work done by the force is 0 2m s F 60N 14m 1) 420 J 2) 360 J 3) 840 J 4) 720 J 3. A lawn roller is pulled along a horizontal surface through a distance of 20 m by a rope with a force of 200 N. If the rope makes an angle of 60° with the vertical while pulling, the amount of work done by the pulling force is 1) 4000 J 2) 1000 J 3) 2000 3 J 4) 2000 J 4. A weight lifter jerks 220 kg vertically through 1.5 meters and holds still at that height for two minutes. The works done by him in lifting and in holding it still are respectively 1) 220J, 330J 2) 3234 J, 0 3) 2334 J, 10 J 4) 0, 3234 J 5. A uniform chain is held on a frictionless table with half of its length hanging over the edge. If the chain has a mass ‘m’ and length ‘L’, how much work is required to pull the hanging part back onto the table? 1) mgL/4 2) mgL/2 3) mgL/8 4) mgL/16 6. A block of mass 2kg is allowed to fall from a height of 40cm onto a verical spring of constant 1 1960Nm . Find the maximum compression produced ? 1. 0.05 m 2. 0.01 m 3. 0.1m 4. 0.5 m

Transcript of PHYSICS CLASS Jr-X E1-E3 - Narayana Schools · PHYSICS_CLASS_Jr-X_E1-E3 WORK, ... After collision...

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SIMPLE HOLIDAY PACKEGEPHYSICS_CLASS_Jr-X_E1-E3

WORK, POWER & ENERGY1. A 5.0 kg box rests on a horizontal surface. The coefficient of kinetic friction

between the box and the surface is 0.5. A horizontal force pulls the box atconstant velocity for 10 cm. The work done by the applied horizontal forceand the frictional force are respectively (take g=10m/s2)

1) 2.5 J and 2.5 J 2) zero and 2.5 J

3) 2.5 J and zero 4) 2.5 J and - 2.5J

2. A force acts on a body and displaces it in its direction. The graph shows therelation between the force and displacement, the work done by the force is

0 2m s

F

60N

14m

1) 420 J 2) 360 J 3) 840 J 4) 720 J

3. A lawn roller is pulled along a horizontal surface through a distance of 20m by a rope with a force of 200 N. If the rope makes an angle of 60° withthe vertical while pulling, the amount of work done by the pulling force is

1) 4000 J 2) 1000 J 3) 2000 3 J 4) 2000 J

4. A weight lifter jerks 220 kg vertically through 1.5 meters and holds still atthat height for two minutes. The works done by him in lifting and in holdingit still are respectively

1) 220J, 330J 2) 3234 J, 0 3) 2334 J, 10 J 4) 0, 3234 J

5. A uniform chain is held on a frictionless table with half of its length hangingover the edge. If the chain has a mass ‘m’ and length ‘L’, how much work isrequired to pull the hanging part back onto the table?

1) mgL/4 2) mgL/2 3) mgL/8 4) mgL/16

6. A block of mass 2kg is allowed to fall from a height of 40cm onto a vericalspring of constant 11960Nm . Find the maximum compression produced ?

1. 0.05 m 2. 0.01 m 3. 0.1m 4. 0.5 m

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7. Two springs have their force constants K1 and K2. Both are stretched tilltheir elastic energies are equal. Then, ratio of stretching forces F1/F2 isequal to

1) K1/K2 2) K1:K2 3) 1 2K : K 4) 2 22 2K : K

8. The elastic potential energy of a stretched spring is given by E = 50x2 wherex is the displacement in meter and E is in joule, then the force constant ofthe spring is1) 50 Nm 2) 100 N m-1 3) 100 N/m² 4) 100 Nm

9. If the momentum of a body is increased by 50 %, the percentageincrease in its kinetic energy is1) 100 2) 50 3) 125 4) 200

10. A tank of size 10 m 10 m 10 m is full of water and built on the ground.If g = 10 ms-2, the potential energy of the water in the tank is1) 5 107 J 2) 1 108 J 3) 5 104 J 4) 5 105 J

CONSERVATION OF LINEAR MOMENTUM &IMPULSE

11. A man and a cart move towards each other. The man weighs 64 kg a n dthe cart 32kg. The velocity of the man is 5.4 km/hr and that of the cart is1.8 km/hr.When the man approaches the cart, he jumps on to it. The velocityof the cart carrying the man will be1) 3 km/hr 2) 30 km/hr 3) 1.8 km/ hr 4) zero

12. A 0.2 kg object at rest is subjected to a force ˆ ˆ0.3 0.4i j N . What is its

velocity vector after 6 sec

1) ˆ ˆ9 12i j 2) ˆ ˆ8 16i j 3) ˆ ˆ12 9i j 4) ˆ ˆ16 8i j

13. A bullet of mass a and velocity b is fired into a large block of mass c. Thefinal velocity of the system is

1) cb

a b 2) ab

a c 3) a b a

c

4) a c b

a

14. A mass m with velocity u strikes a wall normally and returns with the samespeed. What is magnitude of the change in momentum of the body when itreturns?1) 2 mu 2) mu 3) 4 mu 4) 3 mu

15. A bullet of mass 20 g is horizontally fired with a velocity 150 ms–1 from apistol of mass 2 kg. What is the recoil velocity of the pistol?1) 1 ms–1 2) –1.5 ms–1 3) 2 ms–1 4) –3.5 ms–1

16. When a ball of mass 5 kg hits a bat with a velocity 3 m/s, in positivedirection and it moves back with a velocity = 4 m/s, find the impulse in SIunits.1) 25 N-s 2) 35 N-s 3) 45 N-s 4) 55 N-s

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17. A 2kg ball drops vertically on to the floor with a speed of 25m/s andrebounds wilth the speed of 10m/s. What is the impulse acting on the ballis

1) 35Ns 2) 40Ns 3) 56Ns 4) 70Ns

18. A train of mass m is moving with velocity 1v

, It is given an impulse such that

the velocity becomes 2v

. Then magnitude of impulse is equal to

1) 2 1m v v

2) 1 2m v v

3) 2 1m v v

4) 2 10.5m v v

19. A 1 kg ball drops vertically onto the floor with a speed of 25 m/s and reboundswith a speed of 10 m/s. What is the impulse acting on the ball in1) 35N-s 2) 40 N-s 3) 56 N-s 4) 70 N-s

20. Calculate the impulse necessary to stop the car of mass 1000kg travellingat 72kmph.1) 10000 Ns 2) 20000 Ns 3) 30000 Ns 4) 40000 Ns

COLLISIONS21. Two balls of masses m1 and m2 (m1>>m2) collide with each other with initial

velocities V1, V2. Then the final velocities of balls are1) 0, –V2 2) V1, –2V2 3) V1, 0 4) V1, 3V2

22. A ball of 4 kg mass and a speed of 1ms3 has a head on elastic collisionwith a 6 kg mass initially at rest. The speeds of both the bodies aftercollision are respectively

1) 1 10.6 ,2.4ms ms 2) 1 10.6 , 2.4ms ms

3) 1 10.6 , 2.4ms ms 4) 1 10.6 , 2.4ms ms

23. A smooth sphere of mass M moving with velocity u directly collides elasticallywith another sphere of mass m at rest. After collision their final velocities areV and v respectively. The value of v is_____________.

1)

2M um M 2)

2m um M 3)

M um M 4)

M u2m M

24. Internal forces can change:1) the linear momentum but not the kinetic energy.2) the kinetic energy but not the linear momentum.

3) linear momentum as well as kinetic energy.4) neither the linear momentum nor the kinetic energy.

25. A block of mass 1 kg moving with a speed of 1ms4 , collides with anotherblock of mass 2 kg which is at rest. The lighter block comes to rest aftercollision. The speed of the heavy body after collision is

1) 12 ms 2) 11 m s 3) 11.5 ms 4) 10.5 ms

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26. A body of mass 3 kg is moving with a velocity of 4 m/s towards right, collideshead on with a body of mass 4 kg moving in opposite direction with a velocityof 3 m/s. After collision the two bodies stick together and move with acommon velocity, which is __________.1) 1m/s 2) 0 m/s 3) 3 m/s 4) 4m/s

27. A ball is dropped from a height h above a tile floor and rebounds to aheight of 0.64h. The coefficient of restitution between the ball and thefloor is1) 0.64 2) 0.8 3) 1/0.64 4) 1/0.8

28. A rubber ball drops from a height h and after rebounding twice from theground, it rises to h/2. The co - efficient of restitution is

1) 12 2)

2/1

21

3) 4/1

21

4) 6/1

21

29. Ball 1 collides directly with an another identical ball 2 at rest. Velocity ofsecond ball becomes two times that of 1 after collision. Find the coefficientof restitution between the two balls ?1) 1/2 2) 1/3 3) 1/4 4) 1/5

30. A body of mass m moving at a constant velocity v hits another body of thesame mass moving at the same velocity but in the opposite direction andsticks to it. The common velocity after collision is1) v 2) 0 3) 2v 4) v/2

ROTATIONAL MECHANICS31. A small ball of mass 1.0 kg is attached to one end of a 1.0m long massless

string and the other end of the string is hung from a point. When the resultingpendulum is 30° from the vertical, what is the magnitude of torque about thepoin t of su spension. [ Tak e g = 10 m / s2]1) zero 2) 5N-m 3) 10N-m 4) 12N-m

32. A wheel of radius 10cm can rotate freelu about its centrre as shown. A stringis wrapped over its nm and is pulled by a force of 5N. The net torque on thewheel is

1) 0.3 Nm 2) 0.5 Nm 3) 0.8 Nm 4) 1.1Nm.33. A mechanic unscrews a nut by applying a force of 120N on a spanner of

length 40cm. The required length of the spanner in order to apply only 40Nforce is1) 1.2 m 2) 2.2 m 3) 3.3 m 4) 4.4 m

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34. When a force of 10N is applied about the axis of rotation of a body it producesa torque of 5Nm. The distance of the point of application of the force the axisof rotation.

1) 0.2 m 2) 0.3 m 3) 0.4 m 4) 0.5 m

35. The radius of gyration of a uniform circular ring of radius R about an axispassing through its centre and perpendicular to its plane is given by

1) R 2) 2R 3) R/2 4) R/4

36. What is the radius of gyration(K) of the spherical shell of radius R about anydiameter ?

1) 1K R5

2) 1K R3

3) 2K R5

4) 2K R3

37. A rope is wound round a hallow cylinder of mass 3kg and radius 40cm. Themomnetum of Inertia of hollow cyllinder is

1) 228 kgm 2) 238 kgm 3) 248 kgm 4) 258 kgm

38. Find the radius of gyration of a circular ring of radius r about a lineperpendicular to the plane of the ring and passing through one of its particles.

1) 2r 2) r 3) 2r 4) r / 2

39. A uniform plane sheet of metal in the form of a triangle ABC hasBC>AB>AC.Its moment of inertia is smallest

1) about AC as axis

2) about AB as adis

3) about BC as axis

4) With aline through c normal to its plane as axis

40. The figure below shows a rectangular wire ABCD. About which axes themoment of inertia of the wire will be minimum ? ( Given BC=2AB)

1) BC 2) BD 3) HF 4) EG

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FLUID MECHANICS41. In the above problem, if their volumes are equal then the density of mixture

is

1) 5 k g m –3 2) 3 kg m–3 3) 1 kg m–3 4) 7 kg m–3

42. An air tight container having a lid with negligible mass and an area of 8cm2

is partially evacuated. If a 48N force is required to pull the lid off the containerand the atmospheric pressure is 1.0 x 105 Ps, the pressure in the containerbefore it is opened must be

1) 0.6atm 2) 0.5 atm 3) 0.4 atm 4) 0.2 atm

43. The pressure at the bottom of a lake, due to water is 4.9x106 N/m2. Whatis the depth of the lake?

1)500m 2)400m 3)300m 4)200m

44. A boat having length 2m and width 1m is floating in a lake. When a manstands on the boat, it is depressed by 3 cm. The mass of the man is

1) 50kg 2) 55kg 3) 60 kg 4) 70 kg

45. Apparent weight of a body inside a liquid is equal to

1) actual weight of a body + upthrust

2) actual weight of a body – upthrust

3) actual weight of a body × upthrust

4) actual weight of a body / upthrust

46. When a body lighter than water is completely submerged in water, thebuoyant force acting on it is found to be ‘n’ times its weight. The specificgravity of the material of the body is

1) 1

1 n2)

1n 3) n 4)

1nn

47. In the above question find the area(A2) of the base of the cylinder that isexposed to air.

1) 24 r 2) 23 r 3) 22 r 4) 2r

48. A block of mass 1kg and density 0.8 g/cm3 is held stationary with the help ofa string. The tank is accelerating vertically downwards with 1 m/s2 .(g = 10m/s2) then find upthrust.

1) 13.75 N 2) 11.25 N 3) 27.5 N 4) 30 N

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49. A U-tube shown in Fig. containing two liquids of specific gravities 1 2and is

given an acceleration a in the horizontal direction. What is the ratio 1 2: ?

1h1

2

l

B

a2h

1) 1

2

a h gh g

2) 1 2h g h ga 3)

1 2

ah g h g

4) 2

1

a h gh g

50. Water flows through a horizontal pipe of varying cross section at the rate of0.5 m3 s–1. The speed of water at a point where the area of cross section is0.05 m2 is1) 0.1 ms–1 2) 1 ms–1 3) 5 ms–1 4) 10 ms–1

51. Which of the following relation gives the equation of continuity.

1) 1 2 1 2A A V V 2) 1 2 2 1A V A V 3) 1 1 2 2A V A V 4) all of these

52. Water flows through a non-uniform tube of area of cross sections A, B and Cwhose values are 25, 15 and 35 cm2 respectively. The ratio of the velocitiesof water at the sections A, B and C is1) 5 : 3 : 7 2) 7 : 3 : 5 3) 21 : 35 : 15 4) 1 : 1 : 1

53. Water is flowing through a horizontal pipe of variable crossection. The rateof volume flow is 0.2 lit/sec. The pressure is 3000 Pa. at a point where thearea of crosssection is 5 25 10 m . The pressure at the point where the area

of crosssection is 410 is

1) 6000 Pa 2) 36000 Pa 3) 24000 Pa 4) 30000 Pa54. The readings of a metre which reads pressure fitted in a closed pipe is

5.5×105 Nm–2. On opening the valve of the pipe,the reading of that metrereduces to 5×105 Nm–2. Then speed of water flowing in pipe is1) 10 ms–1 2) 1 ms–1 3) 0.1 ms–1 4) 0.01 ms–1

55. In a horizontal pipe line pressure falls by 10 pa between two points separatedby a distance of 1 km. The change in kinetic energy per kg of oil when the oilflows from one point to the other is (density of oil = 800 kg m–3)

1) 140

J 2) 1

80J 3)

340

J 4) 9

50J

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56. A tank with vertical walls is mounted so that its base is at a height H abovethe horizontal ground. The tank is filled with water to a depth 'h' . A hole ispunched in the side wall of the tank at a depth ' x ' below the water surface.To have maximum range of the emerging stream, the value of x is

1) 4

H h2)

2H h

3) 3H h

4) 34

H h

57. There are two holes O1 and O2 in a tank of height H. The w a t e remerging from O1 and O2 strikes the ground at the same points, as shown infig. Then:

1h2h

H

1O

2O

1)H = h1 + h2 2)H = h2 – h1 3)H = h1h2 4)H = h2/h1

58. In the above problem, the initial speed with which water strikes the groundin ms-1 is

1) 10 2) 5 3) 5 2 4) 10 2

LIGHT59. A fish under water at a depth of 20 cm can see the outer atmosphere

through an aperture of radius of (critical angle of water is 45O)

1) 5 cm 2) 20 cm 3)10 cm 4)20

3

60. The reflected and refracted rays are observed to be perpendicular to eachother, when ray of light is incident at an angle of 600 on a transparent block.The refractive index of that block is

1) 32 2)

12 3)

23 4) 3

61. The refractive indices of glass and water are 3/2 and 4/3 respectively. Therefractive index of glass with respect to water is

1) 2 2) 8/9 3) 9/8 4) 5/3

62. The refractive index of glass is 1.520 for red light and 1.525 for blue light.Let D1 and D2 be angles of minimum deviation for red and blue lightrespectively in a prism of this glass. Then

1) D1 < D2 2) D1 > D2 3) D1 = D2

4) D1 can be less than or greater than D2 depending upon the angle of prism

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63. A thin prism P1 of angle 04 and refractive index 1.54 is combined with anotherthin prism P2 of refractive index 1.72 to produce dispersion without deviation.The angle of P2 is

1) 40 2) 5.330 3) 2.60 4) 30

64. What is the angle of the prism from the graph of angle of deviation d versusangle of incidence i as shown in the figure

1) 030 2) 060 3) 090 4) 050

65. A thin prism P1 of angle 04 and refractive index 1.54 is combined with anotherthin prism P2 of refractive index 1.72 to produce dispersion without deviation.The angle of P2 is

1) 40 2) 5.330 3) 2.60 4) 30

66. A thin prism deviates blue and red rays through 10O and 6O respectively.Another prism deviates same colours through 8O and 4.5O respectively. Theratio of dispersive powers of the prisms is

1) 5 : 4 2) 4 : 5 3) 25 : 28 4) 5 : 28

67. The angles of minimum deviations are 53O and 51O for blue and red coloursrespectively produced in an equilateral glass prism. The dispersive power is

1) 5126

2) 1

263)

152

4) 151

68. One end of a cylindrical glass rod 1.5 is given the shape of a concaverefracting surface of radius 10 cm. An air bubble is situated in the glass rodat a point on its axis such that it appears to be at distance 10 cm from thesurface and inside glass when seen from the other medium. The actuallocation of air bubble is

1) 15 cm 2) 20 cm 3) 30 cm 4) 25 cm

69. An object O is stuck on the surface of a transparent solid sphere of radius20 cm. The refractive index of the sphere such that rays from the objectafter refraction from the opposite side emerge as a parallel beam is

1) 2 2) 3 3) 1.5 4) 2

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70. In a medium of refractive index 1.6 and having a convex surface has a pointobject in it at a distance of 12 cm from the pole. The radius of curvature is 6cm. Locate the image as seen from air.

1) A real image at 30 cm 2) A virtual image at 30 cm

3) A real image at 4.28 cm 4) A virtual image at 4.28 cm

71. An object is placed first at infinity and then at 20 cm from the object-sidefocal plane of a convex lens. The two images thus formed are 5 cm apart.The focal length of the lens is

1) 5 cm 2) 10 cm 3) 15 cm 4) 20 cm

72. The distance between two point sources of light is 24 cm and a converginglens is kept inbetween two sources. The object distances of two sourcesfrom a converging lens of focal length of 9 cm, so that the image distancesof two sources are equal

1) 6 cm 2) 18 cm 3)18 cm or 6 cm 4) 24 cm

73. The radii of curvature of the two surfaces of a lens are 20cm and 30 cm andthe refractive index of the material of the lens is 1.5. If the lens is concavo-convex then the focal length of the lens is:

1) 24 cm 2) 10cm 3) 120 cm 4) –120 cm

74. Arrange the following data according to the increasing order of its focallength of given double covex lens of radius of curvature of the curved surfacesand corresponding refractive index of the material

a) 1 2 2 , 1.5R R cm b) 1 220 , 10 , 1.5R cm R cm

c) 1 220 , 30 , 1.6R cm R cm d) 1 220 , 40 , 1.5R cm R cm

1) c, b, a, d 2) a, b, c, d 3) b, c, d, a 4) d, c, b, a

75. Two thin lenses, when in contact, produce a combination of power +10+diopter. When they are 0.25 m part, the power reduces to +6 diopter. Thefocal length of the lenses are ..... m and ............. m.

1) 0.125m, 0.5 m 2) 1.25 m, 1.5 m 3) 1.5 m, 0.5 m 4)0.125m,1.5m

76. The lens shown in the figure is made of two different materials. A pointobject is placed on the axis the number of images formed by the lens is

1) One 2) Two 3) Five 4)Three

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HEAT77. Two metal rods have coefficients of linear expansion 1.1 × 10-5 /0 C and 1.65

× 10-5 /0 C respectively. The difference in lengths is 10cm at all temperatures.Their initial lengths must be respectively.

1) 40 cm and 50 cm 2) 40 cm and 30 cm

3) 50 cm and 60 cm 4) 30 cm and 20 cm

78. A metal plate of area 1.2 m2 increases its area by 2.4 X 10-4 m2 when it isheated from 00 C to 1000 C. The coefficient of cubical expansion of the metalexpressed in per 0C is

1) 2 X 10-6 2) 4 X 10-6 3) 6 X 10-6 4) 3 X 10-6

79. A crystal has linear coefficients 0.00004/0C, 0.00005/0C, 0.00006/0C.Coefficient of cubical expansion of the crystal is

1)0.000015/0C 2) 0.00015/0C 3) 0.00012/0C 4) 0.00018/0C

80. If the coefficient of real expansion of liquid is equal to the cubical coefficientof the container. Then the coefficient of apparent expansion of the liquid is

1) zero 2) +ve 3) –ve 4) infinity

81. Apparent expansion of a liquid depends upon

1) Nature of liquid 2) Nature of vessel

3) Temperature rise 4) Scale of temperature

82. The coefficient of apparent expansion of a liquid is 10–4/0C and the coefficientof cubical expansion is 2×10–4/0C then what is the coefficient of real expansionof the liquid?

1) 1×10–4/0C 2) 3×10–4/0C 3) 6×10–4/0C 4) 8×10–4/0C

83. A solid object P of mass 200 gm placed in contact with a source supplyingheat at a constant rate, undergoes a rise in temperature of 200°C in 40s.Another solid object Q of mass 300 gm needs 20s for a 50°C rise intemperature. Find the ratio of their specific heats.

1) 54 2)

34 3)

74 4)

32

84. Specific heat of aluminium is 0.25 cal/g/0c. The water equivalent of analuminium vessel of mass one kilogram is

1) 40 cal/0C 2) 250 cal/0C 3) 25 cal/0C 4) 5 cal/0C

85. The densities of two substances are in the ratio 5 : 6 and their specificheats are in the ratio 3 : 5. Then ratio of their thermal capacities per unitvolume is

1) 1 : 2 2) 2 : 1 3) 1 : 4 4) 4 : 1

86. One gram of water at 800C is mixed with one gram of ice at 00C. Theresultant temperature is

1) 1000C 2) 00C 3) 800C 4) 400C

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87. What amount of ice that can be melted by 4000 calories of heat ? (latent heatof fusion of ice = 80 cal g–1)

1) 20g 2) 30g 3) 50g 4) 40g

88. The quantity of heat which can rise the temperature of x gm of a substancethrough t1°C can rise the temperature of y gm of water through t2°C issame. The ratio of specific heats of the substances is

1) yt1/xt2 2) xt2/yt1 3) yt2/xt1 4) xt1/yt2

89. A cylindrical rod with one end in a steam chamber and the other end in iceresults in melting of 0.1gm of ice per second. If the rod is replaced byanother rod with half the length and double the radius of the first and if thethermal conductivity of the material of the second rod is 0.25 times that of

first, the rate at which ice melts in 1gms will be

1) 0.1 2) 0.2 3) 6 4) 2

90. Heat is flowing through two cylindrical rods of same material. The diametersof the rods are in the ratio 1 : 2 and their lengths are in the ratio 2 : 1. If thetemperature difference between their ends is same, then the ratio of amountsof heat conducted through them per unit time will be

1) 1 :1 2) 2 : 1 3) 1 : 4 4) 1 : 8

91. One end of metal bar of area of cross section 25cm and 25 cm in length is insteam other in contact with ice, the amount of ice melts in one minute is ( L= 80 cal /gm, K = 0.8 cgs units )

1) 16 gm 2) 12 gm 3) 24 gm 4)36 gm

92. Two rods of length and 2 thermal conductivities 2Kand Kare connectedend to end. If cross sectional areas of two rods are equal, then equivalentthermal conductivity of the system is

1) 56 K 2) 1.5K 3) 1.2 K 4) 8

9 K

93. Two identical slabs are welded end to end and 20cal of heat flows through itfor 4min. If the two slabs are now welded by placing them one above theother, and the same heat is flowing through two ends under the samedifference of temperatures, the time taken is

1) 1min 2) 2 min 3) 4 min 4) 16 min

94. Two rectangular rods of thermal resistances 2 1 1KW & 3KW are joined in

parallel combination . Their equivalent thermal resistance will be ______ 1kw .

1) 1.2 2) 3.33 3)7.5 4)6.67

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24Narayana Group of Schools

PHYSICS_SIMPLE HOLIDAY PACKEGEClass-Jr.X_E1-E3

SIMPLE HARMONIC MOTION95. A particle starts its SHM from mean position at 0t . If its time period is T

and amplitude A. The distance travelled by the particle in the time from

0t to 54Tt is

1) A 2) 3A 3) 4A 4) 5A

96. Amplitude of oscillation of a particle that executes SHM is 2 cm. Its

displacement from its mean position in a time equal to16

th of its time period

is

1) 2 cm 2) 3 cm 3) 12

cm 4) 13

cm

97. A 20 g particle executing SHM with amplitude of 5 cm. The total distancecovered during one oscillation is

1) 10 cm 2) 15 cm 3) 20 cm 4) 25 cm

98. A body executing S.H.M. has a maximum velocity of 1 1ms and a maximumacceleration of 4 2ms . Its amplitude in metres is

1) 1 2) 0.75 3) 0.5 J 4) 0.25

99. The displacement of a particle along the x-axis is given by 2sinx a t . Themotion of the particle corresponds to

1) SHM of frequency

2) SHM of frequency 32

3) non SHM 4) SHM of frequency 2

100. Time period of a simple pendulum of length ‘L’ is 1T and time period of auniform rod of the same length ‘L’ pivoted about one end and oscillating in a

vertical plane is 2T . Amplitude of oscillations in both the cases is small.

Then 1

2

TT is

1) 43 2) 1 3) 3

2 4) 13

101. Two springs of force constants 1000 N/m and 2000 N/m are stretched bysame force. The ratio of their respective potential energies is

1) 2 : 1 2) 1 : 2 3) 4 : 1 4) 1 : 4

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25Narayana Group of Schools

PHYSICS_SIMPLE HOLIDAY PACKEGEClass-Jr.X_E1-E3

102. A body of mass ‘m’ is suspended to an ideal spring of force constant ‘k’. Theexpected change in the position of the body due to an additional force ‘F’.acting vertically downwards is :

1) 32Fk 2)

2Fk 3)

52Fk 4)

4Fk

103. The amplitude of oscillation of particle in S.H.M. is cm3 . The displacementfrom mean position at which its potential and kinetic energies are in theratio 1 : 2 is

1) 1cm 2) 0.866 cm 3) cm3

14) cm2

104. A small body of mass 10 gram is making harmonic oscillations along a straightline with a time period of /4 and the maximum displacement is 10 cm. Theenergy of oscillation is

1) 0.32 x10-2 J 2) 0.16 x10-2 J 3) 0.48 x10-2 J 4) 0.56 x10-2 J

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