1. Mechanics
  2. 1. Units, Dimensions and Errors
    2. Vectors and Scalars
    3. Motion in a Straight Line
    4. Projectile Motion
    5. Newton's Laws of Motion
    6. Friction
    7. Work, Energy, Power and Collision
    8. Circular motion
    9. Rotational motion
    10. Simple Harmonic Motion
    11. Gravitation
    12. Elasticity
    13. Surface Tension
    14. Fluid dynamics and Viscosity
    15. Hydrostatics
  3. Heat and Thermodynamics
  4. 16. Thermometry
    17. Thermal expansion
    18. Calorimetry, Change of State and Hygrometry
    19. Gas Laws and Kinetic theory of Gases
    20. Transmission of Heat
    21. Thermodynamics
  5. Sound and Waves
  6. 22. Wave
    23. Superposition of Waves
    24. Stationary/ Standing waves
    25. Doppler's effect and Musical sound
  7. Optics
  8. 26. Reflection of Plane and Curved Mirrors
    27. Refraction at Plane surfaces and Total internal reflection
    28. Refraction through prism and Dispersion of Light
    29. Refraction through Lenses
    30. Chromatic abberation in Lenses, Optical instruments and Human eye
    31. Velocity of Light
    32. Photometry
    33. Wave nature of Light
  9. Electrostatics
  10. 34. Charge and Force
    35. Electric Field and Potential
    36. Capacitance
  11. Electrodynamics
  12. 37. Electric current
    38. Heating Effect of Current
    39. Thermoelectricity
    40. Chemical effect of Current
    41. Meters
  13. Electromagnetism
  14. 42. Properties of Magnets
    43. Magnetic effects of Current
    44. Electromagnetic induction
    45. Alternating current
  15. Modern Physics
  16. 46. Cathode rays, Positive rays and Electrons
    47. Photoelectric effect
    48. X-rays
    49. Atomic structure and Spectrum
    50. Radioactivity
    51. Nuclear physics
    52. Semiconductor and Semiconductor devices
    53. Diode and Triode valves
    54. Logic gates
    55. Relativity and Universe
    56. Particle physics
Mechanics
10. Simple Harmonic Motion
1. A fan makes 10 revolutions in 3 second which is just switched on. Considering uniform acceleration the number of revolution made by fan in next 3 second is:

[BP 2010]

  • 10
  • 20
  • 30
  • 40
2. The spokes are used in bicycle wheel to [BP 201 1]

[BP 201 1]

  • Increases frictional force
  • Decreases frictional force
  • Increases moment of inertia
  • Increase angular momentum
3. A small mass of 10 gm, lies in a hemispherical bowl of radius 0.4 m at a height of 0.2 m from the bottom of the bowl. The mass will be in equilibrium of the bowl rotates at an angular speed of

[BP 2009]

  • 10
  • 10√3 rad/s
  • √3 10 rad/s
  • √20 rad/s
4. A thin uniform rod of mass 'm' moves translationally with acceleration 'a' due to two antiparallel force of lever arm '. One force is of magnitude F and acts at one extreme end. The length of the rod is [BP 2009]

[BP 2009]

  • 2(F + ma)/ ma
  • ma F + ma
  • (F + ma)/ 2 ma
  • mal ma + F
5. A wire of length / and mass 'm' is bent in the form of a rectangle ABCD with 2. The moment of inertia of this wire frame about the side BC is :

[BP 2009]

  • 203 ml
  • 7 252 ml
  • 165 ml 252 ml
  • 136 ml 252 ml
6. A billiard ball is hit by a cue at a height " above the center. It acquires a linear velocity Vo. Mass of the ball is m and radius is r. The angular velocity acquired by the ball is: [BP 2009)

[BP 2009)]

  • 2voh
  • Svol
  • 2vor
  • Svor
7. A ring, a dice, solid sphere, hollow sphere are dropped from the same inclined plane of same height then which one of the following reaches the ground first [MOE 2014)

[MOE 2014)]

  • ring
  • disc
  • solid sphere
  • hollow sphere.
8. The moment of inertia of a body of mass M about a given axis is I. What is the radius of gyration? [MOE 2014)

[MOE 2014)]

  • I/M
  • IM
  • √I/M
  • √IM
9. The torque due to gravitational force on body about its centre of mass is: [MOE 2014)

[MOE 2014)]

  • a, infinite
  • b. finite
  • C. Zero
  • d. can not be measured
10. Two forces of 2N and 4N attached at the ends of a 0.5 meter rod act vertically downwards. A third force will keep the system in equilibrium if applied at a point between the ends of the ro magnitude, direction and position of the third force will be: [MOE 2011]

[MOE 2011]

  • 6 N downwards at 33.33 cm from 2N force.
  • 2N downwards at 33.33 cm from 2N force.
  • 2N upward at 16.66 cm from 4N force.
  • 6 N upward at 16.66 cm from 4N force.
11. 11. Two point masses of 1 kg and 2 separated by 0.5 m constitute a system The distance of the centre of mass of the system from 1 kg mass is: [IMOE 20131

[IMOE 20131]

  • 0.15 m
  • b. 0.25 m
  • . 0.33 m
  • 0.4 m
12. 12. A circular body of mass 2 kg of radius I then of inertia about diameter is? [MOE 2011

[MOE 2011]

  • 0.5 kg m
  • 4 kg m'
  • 4 kg m'
  • I kg m?
13. 13. Moment of inertia doesn't depend upon [MOE 2010

[MOE 2010]

  • Mass
  • Distribution of mass
  • Radius
  • Angular velocity
14. 14. If 'M' and 'r' are respectively the mass of electrons and radius of the orbit in which the electron revolves about the nucleus, the moment of inertia of electron will be: [MOE 2009]

[MOE 2009]

  • Mr
  • C. MY
15. 15. When a body rolls downs an inclined plane. The total potential energy of the body changes into:

[IE 2011]

  • Rotational K.E.
  • Translational K.E
  • Both rotational and translational K.E.
  • None
16. 16. If no internal force is applied in a body the velocity of the centre of mass: [IOM 2013]

[IOM 2013]

  • Zero
  • Increases
  • C. Decreases
  • d. Remains constant
17. 17. The product of moment of inertia and [IOM 2013] angular acceleration gives,

[IOM 2013]]

  • Linear momentum.
  • Angular momentum.
  • Torque
  • Force.
18. 18, A cylinder has mass "M" a length T and Radius 'R' then M.I. about own axis is:

[IOM 2012]

  • MR
  • MR
  • MR
19. Two bodies of masses m, and m; move in circles of radii r, and ra respectively. If they complete the circles in equal time, the ratio of their angular speed @ [KU 2014]

[KU 2014]

  • my/m_
20. . A uniform heavy disc is rotating with a constant angular velocity about a vertical axis through its center. Some wax is dropped gently on the disc near to the edge. The angular velocity of the disc [KU 2012]

[KU 2012]

  • Decreases
  • b. Becomes zero
  • Increases
  • d Does not change
21. A uniform metal disc of radius R lies in XY - plane and rotates with uniform angular velocity w about the Z - axis, the total induced EMF between the center and the rim of the disc is equal to; [KU 2011]

[KU 2011]

  • - WBR
  • CBR
  • -QBR'
  • 5 WB'R
22. Two masses of 1 kg and 2 kg are 9 m apart and make tw mass from 1 kg mass will be at [Bangladesh 09]

[Bangladesh 09]

  • a. 6 m
  • 4 m
  • 3n
  • 2 m
23. 3. A uniform disc is rotating at a constant speed about a vertical axis through its centre. Some wax is gently dropped on the disc, the angular velocity of the disc[KU 091

[KU 091]

  • doesn't change
  • b. increases
  • decreases
  • becomes zero
24. . A circular disc of mass m and radius r is rotating about its axis with uniform speed of v. What is its kinetic energy? [TOM 04]

[TOM 04]

  • mv-
  • b. my
  • d.
25. When the size of the earth is reduced to half, mass remaining same, the time period of the earth rotation will be: [IOM 031

[IOM 031]

  • 6 hours
  • b. 24 hours
  • c. 12 hours
  • d. 48 hours
26. A rotating disc has ...., kinetic energy, i mass is M & velocity is V [IOM 98

[IOM 98]

  • a. MV
  • 1/2 MV2
  • c. 3/4 MV
27. A fly-wheel of mass 10 kg and radius 50 cm is rotating with constant angular speed of @ with its kinetic energy 20 Joule. The angular speed of flywheel is [MOE 066]

[MOE 066]

  • a. 4 rad/s
  • 2 rad/s
  • c. 10 rad/s
  • d. 4 rad/s
28. The body applied with constant torque changes the angular momentum Io to final angular momentum 41, in 3 sec. then find torque [MOE 2008]

[MOE 2008]

  • 210
29. Kinetic energy of a body is given by 1/2 mv. Which one of the following expression is correct for the kinetic energy of the rigid body where I andw represent the moment of intertia and angular velocity of the rigid body? [MOE 2065]

[MOE 2065]

  • a. (1/2) I w
  • b. (1/2) I w
  • C. (1/2) (1 w)
  • d. (1/2) (I @)
30. If a body starts from rest with angular acceleration a= 6t. What is time taken to complete 10 revolution?
  • 2.14
  • 2.8
31. If there is a change of angular momentum from 2 J to 4 J in 4 sec. Then the torque is [TE-04)

[TE-04)]

  • a. 0.25 J
  • b. 0.5 3
  • c. IJ
  • 2J
32. When torque acting upon a system is zer Which of the following will be constant? [TE-051

[TE-051]

  • a. Force
  • Linear momentum
  • c. Angular momentum
  • d. Linear impulse
33. A shell at rest explodes. The centre of mass of the fragments

[IE-08, BP 2017]

  • Moves along the parabolic path
  • b. Moves along the straight line
  • C. Move along an elliptical path
  • remains at rest
34. The moment of inertia of a disc of mass M and radius R about an axis which is tangent to the circumference of the disc and parallel to its diameter is:

[BPKIHS-08]

  • MR
  • b. MR?
  • MR?
35. A particle of mass m and radius of gyration k is rotating with an angular acceleration o. The torque acting on it is
  • mk a
  • mk /a
  • ma/k
  • 1/4mk a
36. The centre of gravity of a body [BPKTHS-94)

[BPKTHS-94)]

  • a. Lies always outside the body
  • b. May lie whether outside or on the surface the body
  • C. Lies inside the body
  • d. Lies on the surface of the body
37. Radius of Gyration of an uniform rod about an axis through its middle is [BPKIHS-94]

[BPKIHS-94]]

  • a. L/(3)12
  • b. L/ (8)12
  • C. L/ (12) 12
  • .d. L/ (2) 12
38. Let I, and I be the moments of inertia of two bodies of identical geometrical shape, the first made of almunium and the second of iron [BPKIHS-95]

[BPKIHS-95]

  • a. 1, <12
  • b. 1/ = 12
  • c. 1, > 12
  • d. Information is insufficient to derive the relation between I, and Iz
39. Three point masses each of mass m are placed at the corners of an equilateral triangle of side /. The moment of inertia of system about an axis along one side of the triangle is [BPKIHS-96]

[BPKIHS-96]

  • 3ml
  • m/'
  • c. 3/4 m/
  • d. 3/2 ml
40. Ratio of the angular velocity of the earth about its axis and the hour hand of a clock is [BPKIHS 1999]

[BPKIHS 1999]

  • a. 12 : 11
  • C. 1:2
  • 2:1
41. If the radius of the earth's orbit is made one fourth, the duration of year will become [BPKIHS 2000]

[BPKIHS 2000]

  • a. 1/2 times
  • 1/4 times
  • 1/8 times
  • 1/16 times
42. The moment of inertia of a circular ring of mass M and radius R about its diameter is
  • MR
  • a. MR 2
  • MR
  • d. MR?
43. The moment of inertia of a thin rod of mass M, length L, about an axis passing through a point from one end and perpendicular to length is
  • TO ML?
  • ML
  • ML
44. The moment of inertia of a solid sphere of mass M radius R about its diameter is
  • MR
  • 2 MR2 5
  • 2MR
  • MR
45. The M.I of a solid cylinder of length /, radius R about its geometrical axis is same as about equatorial axis, then the ratio of R and I will be
  • C. 3
  • 13
46. A uniform metallic disc of moment of inertia Io about its own axis is melted and a uniform ring of equal radius is then casted from it. Then, M.I of the ring about its diameter will be
  • Le 2
  • 10
  • 10 4
47. A uniform metallic disc has its M.I I. about its diameter. Then its M.I about an axis through its rim perpendicular to the plane will be
  • 41₀
  • 5I₀
48. The radii of two steel balls are R and 2R. Then, their moment of inertia about their diameters are in the ratio [KU 2009]

[KU 2009]

  • 1:4
  • 1 : 16
  • 1: 32
49. A circular portion of diameter R is cut out from the edge of a uniform disc of mass M and radius R. The M.I of the remaining portion of the disc about an axis passing through the centre O of the disc and perpendicular to its plane is
  • 15 32 8 MR?
  • 16 MR² 8
  • 13 8 MR
50. A uniform rod of mass M and length L is rotating with angular speed ωo with two beads of mass m on either side of the axis passing through its centre and perpendicular to its length. The beads slide outward as it rotates. What will be the final angular speed when the beads reach the ends ?
  • M CDo M+2m
  • M C M+2m
  • M Wo M+6m
  • M Wo M+12m
51. Three thin rods each of length L and mass M are placed along X, Y and Z-axis in such a way that one end of rod is at the origin. The moment of inertia of the system about Z-axis is
  • ML
  • ML'
  • ML?
  • d. ML2
52. The M.I of two spheres of equal masses about their respective diameters are same. If one of them is solid and other is hollow, then the ratio of their radii (solid to hollow), will be
  • - V5: 13
  • V3 : V/5
53. Two circular discs of same mass an thickness are made from metals having densities d, and dy respectively. The ratio of their moments of inertia about the central axis will be
  • di : d2
  • dz : di
  • did2 : 1
  • d. 1 : didz
54. A wheel of moment of inertia 5x10 kg -m is making 20 rev/sec. The torque required to stop it in 10 sec is
  • 2π x 10⁻² N- m
  • b. 7π x 10⁻²N-m
  • c. 27π x 10⁻² N- m
  • d. 47π x 10⁻² N- m
55. A thin hollow cylinder open at both ends, Slides without rotating rolls without slipping with the same ii. speed. The ratio of K.E in the two cases is:
  • a. 1: 1
  • b. 2:1
  • c. 4 : 1
  • 1. 1:2
56. A solid sphere of mass M is rolling on a horizontal surface without sliding with velocity v. Its kinetic energy will be
  • my
  • 7 1 my
  • To mv
57. A solid sphere of mass M is rotating about its diameter and linear velocity of a point on its equator is v. Then its kinetic energy will be
  • 5mv
  • b. 10 m
  • To my ?
  • d. = mv2
58. A body rolling without sliding has its rotational kinetic energy equal to 40% of total energy. Then body should be
  • Circular disc
  • Hollow sphere
  • c. Solid sphere
  • d. Hollow cylinder
59. A solid spherical ball rolls on a table. Ratio of rotational. K.E to the total K.E is
  • |179
60. The least coefficient of friction for an inclined plane of inclination a with the horizontal in order that a solid cylinder will roll down without slipping is
  • tan o 2
  • - tan o
  • tan a
  • - tan o
61. A wheel of mass 10kg has a moment of inertia 160kg-m' about its own axis. The radius of gyration is:
  • 10m
  • 4m
  • om
62. The radius of gyration of a solid disc of mass 1kg and radius 50cm about an axis through centre of mass and perpendicular to its face is
  • a. 25 cm
  • 25 V2 cm
  • c. 50 cm
  • d. 25 16 cm
63. A uniform circular disc, 20g is rotating about its own vertical axis at 30 rpm. When 20g sand falls on its surface at distance 5cm from the centre of the disc, the rate of rotation decreases to 24 rpm. Then the radius of the disc should be:
  • 5cm
  • 51/2 cm
  • 20cm
64. A particle performs uniform circular motion with an angular moment L. If the frequency of particle's motion is doubled and its kinetic energy is halved, the angular momentum becomes:
  • a. 2L
  • 4L
  • L/2
  • 1/4
65. A constant torque acting on a uniform circular wheel changes its . angular omentum from Jo to 43, in 4 seconds. The magnitude of the torque is:

[IOM, BPKIHS, MOE, KU]

66. A flywheel of moment of inertia 0.5kgm i rotating 300 rpm initially comes to rest in 10 seconds under constant retarding torque. Then the number of revolutions made by the wheel until rest is:
  • 20
  • 25
  • C. 30
  • 50
67. A sphere of mass 2kg and radius 5cm is rotating at the rate of 300rpm. Then th torque required to stop it in 2nt revolutions is:
  • a. 1.6x10 N-m
  • b. 1.6x10 N-m
  • 2.5x10 N-m
  • d. 2.5x10 N-m
68. Two particles A and B initially at rest move towards each other under a mutual force of attraction. At the instant when velocity of A is v and that of B is 2v, the velocity of centre of mass of the system is:
  • b. 31
  • zer
69. Two particles of masses m, and my are at distance x. Then, their centre of mass lies at distance from my.
  • max
  • b. (mitmy X m2
  • mz (mi+mz
70. Out of two particles of masses m, and m₂, the towards their centre of mass. What is the displacement of centre of mass?
  • mud mz
  • b. (m,+my/
71. Two blocks of masses 5kg and 2kg ar placed on a frictionless surface and connected by a spring. An external kick gives a velocity of 14 m/s to the heavier block in the direction of lighter one Calculate the velocity gained by the centre of mass.
  • a. 14 m/s
  • 7 m/s
  • 10 m/s
  • zero
72. A shell is fixed a gun with a muzzle velocity u m/s at an angle 0 with the horizontal. At the top of the trajectory, the shell explodes into two fragments P and Q of equal mass. If the speed of fragment P immediately after explosion becomes zero where does the fragment Q hit the ground from the point of projection?
  • 3 u sin e 2 g
  • u' sin28 2 g
  • u sin20 g
  • u sin'e g
73. . A circular plate of uniform thickness has diameter of 56cm. A circular portion of diameter 42cm is removed from one edge as shown in the fig. The centre of mass of remaining from the centre of plate will be
  • a. 5 cm
  • b. 7 cm
  • CA 9 cm
  • d. 1 1 cm
74. 83. Two masses of 1kg and 2kg are 9m apart and make a two body system. Their centre of mass from 1kg mass will be at [MOE]

[MOE]

  • a. 6
  • 4m
  • c. 3m
  • 2m
75. 4. Let F be a force acting on a particle having position vector r . Let + be the torque of this force about the origin, then [KU 2015]

[KU 2015]

76. 85. If a gymnast on a rotating stool with his arms outstretched suddenly lower his arms [TOM 2015]

[TOM 2015]

  • a. The angular velocity decrease
  • b. The moment of inertia decrease
  • c. The angular velocity remains constant
  • d. The angular momentum increase