10th Physics SHP Question paper 15-27

15Narayana Group of Schools

PHYSICS_SIMPLE HOLIDAY PACKEGEClass-Jr.X_E4-E6

SIMPLE HOLIDAY PACKEGEPHYSICS_CLASS_Jr-X_E4-E6WORK, POWER & ENERGY

1. A chain of mass m and length ‘L’ is over hanging from the edge of a smoothhorizontal table such that 3/4 th of its length is lying on the table. The workdone in pulling the chain completely on to the table is1) mgL/16 2) mgL/32 3) 3mgL/32 4) mgL/8

2. A block is displaced from (1m, 4m, 6m) to 2 i 3 j 4k

m under a constant

force F 6 i 2 j k

N. Find the work done by this force.

1) – 7J 2) – 2J 3) – 9J 4) – 5J3. When a spring is compressed by 3cm, its P,E is U. When it is compressed by

6 cm, its P.E will be1. U 2. 2U 3. 3U 4. 4U

4. A ball of mass m is dropped from a height h on a weightless plate attached tothe top of a vertical spring. The plate moves down through a distance y.Then spring constant of the spring is

1. 22mgh/ y 2. 2mg / y 3. 2

2mg(h y)y

4. 2

2mgyh

5. A ship of mass 3 × 107 kg initially at rest is pulled by a force of 5 × 104 Nthrough a distance of 3 meters. Assuming that the resistance due to wateris negligible, the speed of the ship is1) 0.1 m/s 2) 1.5 m/s 3) 5 m/s 4) 60 m/s

6. Two stones of masses m and 2 m are projected vertically upwards so as toreach the same height. The ratio of the kinetic energies of their projectionis1) 2 : 1 2) 1 : 2 3) 4 : 1 4) 1 : 4

7. When a long spring is stretched by x cm, its P.E is U . If the spring isstretched by Nx cm, the P.E stored in it will be

1) UN 2) NU 3) 2N U 4) 3

UN

8. A body slides down a fixed curved track that is one quadrant of a circle ofradius R, as in the figure. If there is no friction and the body starts fromrest, its speed at the bottom of the track is



R

1) 5gR 2) gR5 3) gR2 4) gR9. A boy blowing a whistle sends in air at 2 gm/sec with a speed of 150 m/s.

His lung power is1) 2.25 W 2) 22.5 W 3) 225 W 4) 0.225 W

10. A body of mass m is rotated at uniform speed along vertical circle with helpof light string. If 1 2T ,T are tensions in the string when the body is crossinghighest point, lowest point of vertical circle respectively then followingexpression is correct.1) 2 1T T 6mg 2) 2 1T T 4mg 3) 2 1T T 2mg 4) 2 1T T mg

CONSERVATION OF LINEAR MOMENTUM &IMPULSE

11. A man of mass m is standing on a platform of mass M kept on smooth ice. Ifthe man starts moving on the platform with a speed v relative to the platform,with what velocity relative to the ice does the platform recoil ?

1) mv

M m2)

mvM m

3) mv

M 2m4)

2mvM m

12. The hero of a stunt film fires 50 g bullets from a machine gun, each at a speedof 1.0 km/s. If he fires 20 bullets in 4 seconds, what average force does heexert against the machine gun during this period ?1) 150N 2) 250N 3) 350 N 4) 450N

13. A man and a cart move towards each other. The man weighs 64 kg and thecart 36kg. The velocity of the man is 2 km/hr and that of the cart is 1 km/hr. When the man approaches the cart, he jumps on to it. The velocity ofthe cart carrying the man will be1) 3 km/hr 2) 0.92 km/hr 3) 1.8 km/ hr 4) zero

14. A bomb of mass 6 kg initially at rest explodes in to three identical

fragments. One of the fragments moves with a velocity of 10 3 /i m s ,

another fragment moves with a velocity of 10 j m/s, then the thirdfragment moves with a velocity of magnitude.1) 30 m/s 2) 20 m/s 3) 15 m/s 4) 5 m/s

15. A space craft of mass 2000 kg moving with a velocity of 600m/s suddenlyexplodes into two pieces. One piece of mass 500 kg is left stationary. Thevelocity of the other part must be1) 600 m/s 2) 800 m/s 3) 1500 m/s 4) 1000 m/s

16. A bullet of mass 10–3 kg strikes an obstacle and moves at 60° to its originaldirection. If its speed also changes from 20 m/s to 10 m/s. Find themagnitude of impulse acting on the bullet.1) 23 10 N s 2) 33 10 N s 3) 23 10 N s 4) 230 10 N s



17. A body of mass 1 kg moves with the velocity 10i

m/s.It is given an impuse

such that the velocity becomes 10 j m/s then magnitude of impulse is

equal to

1) 10 Ns 2) 10 2 Ns 3) 5 2 Ns 4) 52 Ns

18. A 20 kg body is pushed with 7N for 1.5 sec then with a force of 5N for 1.7sec and finally with a force of 10N for 3 sec, the total impulse applied tothe body and change in velocity will be

1. 149 ,12.5Ns ms 2. 149 , 2.45Ns ms 3. 198 , 4.9Ns ms 4. 14.9 ,2.45Ns ms

19. A ball of mass m, travelling with velocity 2 i 3 j

receives an impulse 3m i

.What is the velocity of the ball immediately afterwards ?

1) ˆ î 3 j m/s 2) ˆ î 3 j m / s 3) ˆ î 3 j m/s 4) ˆ î 3 j m / s

20. A truck of mass 2 × 103 kg travelling at 4 m/s is brought to rest in 2 swhen it strikes a wall. What force ( assume constant ) is exerted by thewall ?1) 2×103N 2) 4×103N 3) 5×103N 4) 6×103N

COLLISIONS21. Two masses mA and mB moving with velocities vA and vB in opposite directions

collide elastically. After that the masses mA and mB move with velocity vB and

vA respectvely. Then the ratioA

B

mm is _________________.

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

22. A body of mass 10 kg moving with a velocity of 1ms5 hits a body of 1 gm atrest. The velocity of the second body after collision assuming it to be perfectlyelastic is

1) 1ms10 2) 1ms5 3) 1ms15 4) 1ms10.0

23. A ball with initial momentum P collides with rigid wall elastically. If 1P

be it’s momentum after collision then

1) 1P P 2) 1P P

3) 1 2P P 4) 1 2P P

24. A body of mass 5kg moving with a speed of 3ms-1 collides head on with a bodyof mass 3kg moving in the opposite direction at a speed of 2ms-1. The firstbody stops after the collision. The final velocity of the second body is1) 3ms-1 2) 5ms-1 3) -9ms-1 4)30ms-1

25. A marble going at a speed of 1ms2 hits another marble of equal mass atrest. If the collision is perfectly elastic. The velocity of the first aftercollision is1) 4 2) 0 3) 2 4) 3

26. A ball A moving with velocity u, impinges directly on an equal ball B,moving with velocity v in the opposite direction. If e is the coefficient ofrestitution and ball A comes to rest after impact, find the ratio of u : v.



1) 1 e1 e

2) 1 e1 e

3) e

1 e4)

1 ee

27. A body dropped freely from a height h on to a horizontal plane, bounces upand down and finally comes to rest. The coefficient of restitution is e. Theratio of velocities at the beginning and after two rebounds is1) 1 : e 2) e : 1 3) 1 : e² 4) e² : 1

28. A 16 gm mass is moving in the +x direction at 30 cm/s while a 4 gm ismoving in the -x direction at 50 cm/s. They collide head - on and sticktogether. Their common velocity after impact is

1) 0.14 cm/s 2) 0.14 m/s 3) 1ms0 4) 0.3 m/s

29. A metal ball falls from a height of 1m on to a steel plate and jumps upto aheight of 81 cm. The coefficient of restitution of the ball material is1) 0.2 2) 9 3) 0.9 4) 90

30. A truck of mass 10 metric ton runs at 1ms3 along a level track and collideswith a loaded truck of mass 20 metric ton, standing at rest. If the truckscouple together, the common speed after collision is

1) 1ms1 2) 10.1 ms 3) 1ms5.0 4) 1ms3.0

ROTATIONAL MECHANICS31. A roller of mass 300 kg against a step of height 20 cm. If the radius of the roller

is 50 cm.Find the force to be applied passing througgh its centre of mass totake the roller on to the step1) 1920N 2) 2920N 3) 3920N 4) 4920N

32. A sim ple pendu lu m of len gth l is pulled aside to make an angle with thevertical. Find the magnitude of the torque of the weight w of the bob about thepoint of suspension?1) zero 2) wlsin 3) wlcos 4) wl

33. A rigid massless rod is suspended horizontally by two wires A and B. The forcein wire B is

25N 50N

1m 1m2m

A B

1) 50N 2) 37.5N 3) 35N 4) 30N



34. In the above question the moment of inertia of the system through mid pointof one side and perpendicular to the palne of the triangle.

1) 23 kgm4 2) 22 kgm

4 3) 25 kgm4 4) 26 kgm

435. A ring and a disc of the same radius have the same moment of inertia about

an axis of rotation passing through their centres and perpendicular to theirplanes. the mass of the ring and disc are in the ratio

1) 12 2) 2 3)

12

4) 2

36. Two particles of masses 2kg and 3kg are seperated by 5m The moment ofinertia of the system about an axis passing through the centre of mass of thesystem and perpendicular to the line joining then is

1) 210kg m 2) 220kg m 3) 230kg m 4) 240kg m37. The radius of gyration of a uniform circular disc of radius R about an axis

passing through its centre and perpendicular to its plane is given by

1) R 2) R/ 2 3) R/2 4) R/438. Three rings each of mass ‘m’ and radius ‘r’, are so placed that touch each

other. The moment of inertia about the axix as shown

1) 25mr 2) 25 mr7 3) 27mr 4) 27 mr

239. Consider a uniform rod of mass m and length 2l with two particles of mass m

each at its ends. Let AB be a line perpendicular to the length of the rod andpassing through its centre. Find the moment of inertia of the system aboutAB.

1) 27 m3

2) 25 m3

3) 29 m3

4) 211m3

40. The moment of inertia of a uniform rod of mass 0.50 kg and length 1 m is 0.lkg-m2 about a line perpendicular to the rod. Find the distance (in metre) ofthis line from the middle point of the rod.

1) 4

602)

560

3) 6

604)

760



FLUID MECHANICS41. If a force is 50 dyne acting on area of block is 10cm2.Then the pressure is on

block is

1) 5 2

dynecm

2) 4 2

dynecm

3) 6 2

dynecm

4) 7 2

dynecm

42. A U-tube contains water and methylated spirit seperated by mercury. Themercury columns in the two arms are in level with 10.0cm of water in onearm and 12.5 cm of spirit in the other. What is the specific gravity of spirit?1) 0.6 2) 0.7 3) 0.8 4) 0.9

43. The force does water exert on the base of a house tank of base area 1.5 m2

when it is filled with water up to a height of 1 m if (g = 10 m/s-2)1) 1200 kgwt 2)1500 kgwt 3) 1700 kgwt 4) 2000 kgwt

44. Density of ice is 900 kg/m3. A piece of ice is floating in water (of density1000 kg/m3). Find the fraction of volume of the piece of ice outside thewater.1) 0.1 2) 0.9 3) 0.2 4) 0.8

45. A small ball of density is immersed in a liquid of density to adepth h and released. The height above the surface of water up to whichthe ball will jump is

1) 1 h

2) 1 h

3) 1 h

4) 1 h

46. When equal volumes of two liquids are mixed, the specific gravity of mixtureis 7/2. When equal masses of the same two liquids are mixed the specificgravity is 12/7. The specific gravities of two liquids are1) 1 and 6 2) 2 and 6 3) 2 and 4 4) 3 and 6

47. A person can change the volume of his body by taking air into his lungs.The amount of change can be determined by weighing the person underwater. Suppose that under water a person weighs 20.0 N with partially fulllungs and 40.0 N with empty lungs. Find the change in body volume.1) 2.041 × 10–3 m3 2) 1.02 × 10–3 m3 3) 4.08 × 10–3 m3 4) 0.5 × 10–3 m3

48. Two spheres of volume 250 .C C each but of relative densities 0.8 and 1.2 areconnected by a string and the combination is immersed in a liquid. Find the

tension in the spring. 210 /g m s1) 0.5 N 2) 1 N 3) 1.5 N 4) 2 N

49. A bowl of soap water is at rest on a table in the dining compartment of atrain, if the acceleration of the train is g/4 in forward direction, the anglemade by its surface with horizontal is

1) 1 1

2Tan

2) 1 1

4Tan

3) 1 1

5Tan

4) 1 1

3Tan

50. One end of a cylindrical pipe has a radius of 1.5cm. Water (density = 1.0 ×103 kg/m3) streams steadily out at 7.0m/s. The rate at which mass is leavingthe pipe is:1) 2.5 kg/s 2) 4.9 kg/s 3) 7.0 kg/s 4) 48 kg/s



51. A pipe of non-uniform cross section has two distinct sections 1 and 2 withareas 2cm2 and 4 cm2, 5cm/s, determine the velocity at section 2.1) 2.5cm/s 2) 2 cm/s 3) 4 cm/s 4) 5 cm/s

52. Water is flowing through a horizontal tube of non-uniform cross section. At aplace the radius of the tube is 1.0 cm and the velocity of water is 2 m/s.What will be the velocity of water where the radius of the pipe is 2.0 cm?1) 1m/sec 2) 2m/sec 3) 0.5m/sec 4) 0.25m/sec

53. A liquid having area of free surface A has an orifice at a depth h with anarea a, below the l iqu id su r face, then th e veloci t y v of flow through theorifice is:

1) 2v gh 2)2

2 22 Av ghA a

3) 2 Av ghA a

4) 2 2

22 A av ghA

54. The work done in driving a liquid through a pipe against a pressure differ-ence of 200 KPa between the ends of a pipe at 20 Km3 of water1) 2×109 J 2) 4×109 J 3) 8×109 J 4) 16×109 J

55. Water is flowing through two horizontal pipes of different radii which a r econnected together. In the first pipe speed of water is 4 ms–1 and thepressure is 1.25×104 Nm–2. Then pressure of water in the second pipe is (radii of those pipes are in the ratio 1:2)1) 0.5×104 Nm–2 2) 0.75×104 Nm–2`

3) 1×104 Nm–2 4) 2×104 Nm–2

56. The height of water level in a tank is H the range of water stream coming

out of a hole at a depth H4 from upper water level will be

1) 3H2

2) 2H

3 3) H3 4) 3H

57. The velocity of efflux of a liquid from a height is equal to the velocity of abody falling freely from a height. This statement is related to1) Bernoulli’s Theorem 2) Stokes theorem3) Torricelli theorem 4) Pitots Theorem

58. A small hole is made at a height of 12 m from the bottom of a cylindrical

water tank. The length of the water coloumn is 2 m. The distance wherethe water emerging from the hole strikes the ground is1) 4 m 2) 2 m 3) 3 m 4) 2 m

LIGHT59. A light ray is incident on a glass sphere at an angle of incidence 060 as

shown. Then the angles ', ,r r e and the total deviation after two refractionsare

060 n 3

1r

n 1

e



1) 0 0 0 030 ,30 ,60 60and 2) 0 0 0 060 ,60 ,30 30and

3) 0 0 0 060 ,30 ,60 30and 4) 0 0 0 030 ,60 ,30 60and60. The figure shows a surface XY separating two transparent media, medium–

1 and medium –2. The lines ab and cd represent wavefronts of the lightwave in medium–1 and ef, gh represents wavefronts in medium–2 afterrefraction.

1) after refraction the light ray travells as parallel beam2) speed of light is lesser in medium 1 than in medium 23) medium 2 is denser than medium 14) all the above

61. When a ray of light traveling from vacuum to a medium of refractive index , the angle of incidence is twice the angle of refraction. The incident angleis

1) 1cos2

2) 12cos2

3) 12sin ( ) 4) 12sin2

62. The maximum value of index of refraction of a material of prism whichallows the passage of light through it when the refracting angle of prism is Ais

1) 21 sin2A

2) 21 cos2A

3) 21 tan2A

4) 21 cot2A

63. ACB is a right-angled glass prism of refractive index 1.5. A B and Care 60o, 30o, and 90o respectively. A thin layer of liquid is on the AB. For aray of light which is incident normally on AC to be totally reflected at AB,the refractive index of the liquid on AB should be1) 1.5 2) 1.4 3) 1.3 4) 1.2

64. A glass prism of refractive index 1.5 is placed in water of refractive index1.33. The minimum value of the angle of the prism so that it will not bepossible to have any emergent ray is1) 1500 2) 1250 3) 1650 4) 1800

65. The fig shows a mixture of blue, green and red colour ray incident on theright angled prism. The critical angles of the material of prism for red,green and blue colours are 460, 440and 430 respectively. The arrangementwill separate.



1) Red colour from green and blue2) Blue colour from green and red3) Green colour from red and blue4) All the three colours

66. Find the angle of a prism of dispersive power 0.021 and refractive index 1.52to form an achromatic combination with a prism of angle 4.2º and dispersivepower 0.045 having refractive index 1.65. Find the resulting deviation.1) –11.25º, 3.12º 2) –11.25º,4.12º 3) –11.25º, 0.12º 4) –11.25º, 1.12º

67. A crown glass prism with refracting angle 60, is to be achromatised for redand blue light with a flint glass prism. Angle of the flint glass prism should

be (Given Crown glass 1.513, 1.523r b , Flint glass 1.645, 1.665r b )

1) 1.50 2) 30 3) 2.40 4) 4.50

68. In a glass sphere, there is a small bubble 22 10 m from its centre. If thebubble is viewed along a diameter of the sphere, from the side on which itlies. The distance from the surface where it appears is (The radius of glasssphere is 25 10 m and refractive index of glasss is 1.5)

1) 22.5 10 m 2) 23.2 10 m 3) 26.5 10 m 4) 20.2 10 m69. A convex refracting spherical surface of raidus R separates two media of

refractive indices 1 and 2 . Where should an object be placed in the medium

1 so that a real image is formed in medium 2 at the same distance. ( 2 1 ,convex surface is towards medium1)

1) 2 1

2 1

x R

2) 2 1

1 2

x R

3) 2 1

1 2

x R

4) 1 2

1 2

x R

70. A fish is near the centre of a spherical water 4( )3

fish bowl filled with

water. A child stands in air at a distance 2R (R is the radius of curvature ofthe sphere) from the centre of the bowl. At what distance from the centrewould the child’s nose appear to the fish situated at the centre:1) 4 R 2) 2R 3) 3R 4) 4R

71. An equiconvex lens forms the image of an object. A plot of the position ofimage (v) versus the position of object (u) is shown in the adjacent figure. Ifthe maximum error in the measurement of length is 0.1 cm, the focal lengthof the lens is



1) 5 cm ± 0.05 cm 2) 10 cm ± 0.05 cm3) 5 cm ± 0.1 cm 3) 10 cm ± 0.05 cm

72. An object of height 5cm is kept at a distance of 20cm from the optic centre ofa convex lens of focal length 8cm. The height of image is

1) 10 cm3

2)

10 cm3

3)

310 cm 4)

3 cm10

73. In the diagram shown

1) 1 2) 1 3) 1 4) 1 74. Two plano-concave lenses of glass of refractive index 1.5 have radii of

curvatures 20 cm, 30 cm. They are placed in contact with curved surfacetowards each other and the space between them is filled with a liquid ofrefractive index 4/3. The focal length of the system is1) 48 cm 2) 72 cm 3) 12 cm 4) 24 cm

75. A convex lens of focal length 40 cm and refractive index 3/2 is placed in amedium of refractive index 5/3, then1) It will act as a divergent lens of focal length 20 cm2) It will act as a divergent lens of focal length 50cm3) It will act as a divergent lens of focal length 100 cm4) It will act as a divergent lens of focal length 200 cm

76. A thin walled cell of transparent material contains a glass convexlens of1.5 and radii of curvatrue 10cm each exactly at its middle. The empty

spaces are filled with a liquid of 43

. The power of the system is

1) 5 dioptre 2) 3.33 dioptre 3) 10 dioptre 4) 15 dioptre77. The plano-convex lenses of focal length 40cm are placed with their plane

surfaces in contact to form an ordinary convex lens. The distance of anobject from this lens in order to obtain its real, inverted image of unitmagnification will be1) 20 cm 2) 80 cm 3) 40 cm 4) 160 cm



HEAT78. A blacksmith fixes iron ring on the rim of the wooden wheel of bullock cart.

the diameter of the rim and the iron ring are 5.243 m and 5.231 mrespectively at 027 C . The temperature should the ring be heated so as to fitthe rim of the wheel?

1) 0218 C 2) 0512 C 3) 0312 C 4) 0281 C79. A wire of length 60 cm. Is bent into a circle with a gap of 1 cm. At its ends.

On heating it by 1000C, the length of the gap increases to 1.02 cm. ofmaterial of wire is1) 2x10-4/0C 2) 4x10-4/0C 3) 6x10-4/0C 4) 1x10-4/0C

80. Two rods of same length and same diameter are drawn from equal massesand same qunitity of heat is supplied to the two rods. Find the ratio ofexpansions if specific heats of the material is 2/3 and that of coefficeint oflinear expansion is 1/2.1) 1/3 2) 4/3 3)3/4 4)3

81. A vessel is half filled with a liquid at 00C. When then vessel is heated to1000C the liquid occupies 3/4 volume of the vessel. Coefficient of apparentexpansion of the liquid is1) 0.5/0C 2) 0.05/0C 3) 0.005/0C 4) 0.0005/0C

82. If is the coefficient of a real expansion of a liquid then the temperature atwhich density of a liquid is 1% of its density at 00 C is

1)99 2)

199 3)

100 4)

1100

83. Find the apparent expansion if empty specific gravity bottle weighs 5N, itweighs 10N when filled with water at 200C and weighs 8N with remainingliquid inside at 800C1) 111.1×10–4/0C 2) 212×10–4/0C 3) 314×10–4/0C 4) 718×10–4/0C

84. Three spheres have radii in the ratio 1 : 2 : 3. Same amount of heat issupplied to them. Find the ratio of their specific heats such that the samerise of temperature takes place in them. Rates of densities of materials is 1: 2 : 3.1) 1296 : 81 : 16 2) 16 : 81 : 1296 3) 81 : 16 : 1296 4) 1296 : 16 : 81

85. 800 calories of heat is required to raise the temperature of 0.080 jg of aliquid from 10° C to 100°C. Find its specific capacity in cal kg–1 °C–1

1) 111.1 2) 2.222 3) 11.11 4) 22.2286. Three liquids A,B and C of masses 400gm, 600 gm and 800 gm are at 300c,

400c and 500c respectively. When A and B are mixed resultant temperatureis 360C when B and C are mixed resultant temperature is 440C Then ratio oftheir specific heats are1) 2:1:1 2) 3:2:1 3) 2:2:1 4) 1:4:9

87. 1gm of ice at 00C is converted to steam at 1000C the amount of heat required

will be ( 536 /SteamL cal g )

1) 756 cal 2) 12000 cal 3) 716 cal 4) 450 cal



88. One gram of ice at 00C is added to 5 grams of water at 100C. If the latentheat of ice be 80 cal/g, then the final temperature of the mixture is :1) 50C 2) 00C 3) -50C 4) 200C

89. Water is being boiled in a flat bottomed kettle placed on a stove. The area ofthe bottom is 300cm2 and the thicknes is 2mm. If the amount of steamproduced is 1gm min-1, then the difference of the temperature between theinner and the outer surface of the bottom is (thermal conductivity of thematerial of the kettle 0.5cal cm-1s-1C-1, latent heat of the steam is equal to540calg-a)1) 120C 2) a)20C 3) 0.120C 4) 0.0120C

90. Arrange the following rods of same material in an increasing order of rate offlow of heat when they have equal difference of temperature between theirends

A) 2 , 2m r cm B) 4 , 2m r cm

A) 2 , 1m r cm D) 2 , 4m r cm 1) A, B, C, D 2) C, B, A,D 3) D,A, B, C 4) B, C, D, A

91. A cylindrical rod with one end in a steam chamber and the other end is inice. It is found that 1gm of ice melts per second. If the rod is replaced byanother one of same material double the length and double area of crosssection, The mass of ice that melts per second is1) 2 gm 2) 4 gm 3) 1 gm 4) 0.5 gm

92. The three rods described in the above problem are placed individually, withtheir ends kept at the same temperature difference. The rate of heat flowthrough C is equal to the rate of combined heat flow through A and B kCmust be equal to

1) KA+KB 2) A B

A B

K KK K 3) A B

1 K K2

4) A B

A B

K K2K K

93. Three rods A,B and C have the same dimensions. Their conductivities are

A BK , K and CK respectively. A and B are placed end to end, with their freeends kept at certain temperature difference. C is placed separately with itsends kept at same temperature difference. The two arrangements conductheat at the same rate Kc must be equal to

1) KA+KB 2) A B

A B

K KK K

3) A B1 K K2

4) A B

A B

2K KK K

94. A and B are two points on a uniform metal ring whose centre is O. The angleAOB . A and B are maintained at two different constant temperatures.

When 0180 , the rate of total heat flow from A to B is 2W. When 090 ,this rate will be1) 0.6 watt 2) 0.9 watt 3) 1.5 watt 4) 1.8 watt



SIMPLE HARMONIC MOTION95. Two linear simple harmonic motion of equal amplitude and frequency are

impressed on a particle along x and y axis respectively. The initial phase

differenece between them is 2

. The resultant path followed by the par-

ticle is1) A circle 2) A straight line 3) An ellipse 4) A parabola

96. A particle executes SHM with an amplitude of 0.2 m. Its displacement whenits phase is 090 is

1) 0.1 m 2) 0.2 m 3) 0.4 m 4) 0.1/ 2m97. The time period of oscillation of a particle that executes S.H.M. is 1.2 sec.

The time starting from extreme position, its velocity will be half of itsvelocity at mean position is1) 0.1 s 2) 0.2 s 3) 0.4 s 4) 0.6 s

98. If equation of displacement of a particle is sin cosy A t B t then motion ofparticle is1) simple harmonic motion 2) Linear motion3) Uniform circular motion 4) Uniform elliptical motion

99. The period of oscillation of a particle in SHM is 4 sec and its amplitude of

vibration is 4 cm. The distance of the particle 1 sec3 after passing the mean

position is1) 1.33 cm 2) 2 cm 3) 3 cm 4) 2.33 cm

100. A light sprial spring supports 200 gm weight at its lower end, it oscillateswith a period of 1 sec. The weight in (gm) that must be removed from thelower end to reduce the period to 0.5 sec1) 100 gm 2) 50 gm 3) 150 gm 4) 200 gm

101. A body is executing S.H.M. at a displacement x its P.E. is E1 and at adisplacement y its P.E is E2. The P.E at displacement (x+y) is

1) 21 EEE 2) 21 EEE

3) 21 EEE 4) 21 EEE 102. In a spring block system length of the spring is reduced by 1 %, the time

period will1) increase by 2% 2) increase by 0.5% 3) decrease by 2% 4) decrease by0.5%

103. A spring, which is initially in its unstretched condition, is first stretched bya length x and then again by a further length x. The work done in the firstcase is W1 and in the second case is W2. Then:1) W2 = W1 2) W2 = 2W1 3) W2 = 3W1 4) W2 = 4W1

104. For a particle executing SHM, the kinetic energy (K) is given by 20 cosK K t ,

The equation of its displacement can be

1)

12

02 sinK t

m

2)

12

02

2 sinK tm

3)

12 2

0

2 sin tmK

4)

12

02 sinK tm

10th Physics SHP Question paper 15-27

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