Qatar Senior Secondary Certificate (Thanaweya) · Physics and Chemistry

Classical Mechanics and Electromagnetism

109 practice questions, each with the answer and an explanation.

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All 109 questions

  1. A projectile is launched from ground level with an initial velocity of 50 m/s at an angle of 30° above the horizontal. Taking g = 10 m/s^2 and neglecting air resistance, what is the total flight time…
  2. A 1200 kg car rounds an unbanked circular curve of radius 50 meters on a horizontal road. If the coefficient of static friction between the tires and the dry asphalt is 0.80, what is the maximum speed…
  3. A constant force of 40 N acts on a 5.0 kg body initially at rest for a duration of 3.0 seconds. What is the work done on the body by this force during this interval?
  4. A simple pendulum has a period of 2.0 seconds at Earth's surface. What would be its period if it were placed on the Moon, where the gravitational acceleration is approximately g / 6?
  5. Two parallel plates separated by a distance of 5.0 mm have a potential difference of 250 V across them. What is the magnitude of the uniform electric field established between the plates?
  6. An electric circuit consists of a 12 V battery connected across two parallel resistors of 6 ohms and 12 ohms. What is the total current drawn from the battery?
  7. A straight conductor of length 0.40 m carrying a current of 5.0 A is positioned in a uniform magnetic field of 0.60 T perpendicular to the field lines. What magnetic force acts on the wire?
  8. What is the resonant angular frequency omega_0 of an LC circuit consisting of an inductor L = 25 mH and a capacitor C = 4.0 microfarads?
  9. An electron (charge -1.6 10^(-19) C, mass 9.1 10^(-31) kg) enters a uniform magnetic field of 0.20 T with a velocity of 4.0 * 10^6 m/s perpendicular to the field. What is the radius of the resulti…
  10. According to Lenz's law, in what direction is an induced current established in a conducting loop?
  11. A 2.0 kg block is attached to an ideal horizontal spring of stiffness k = 200 N/m. If the block is pulled 0.10 m from equilibrium and released from rest, what is its maximum speed during oscillation?
  12. What is the de Broglie wavelength associated with a neutron (mass 1.67 10^(-27) kg) moving at a speed of 2.0 10^3 m/s? (h = 6.63 10^(-34) Js)
  13. In a double-slit interference experiment using light of wavelength 600 nm, the slits are separated by 0.20 mm and the screen is placed 1.5 m away. What is the distance between consecutive bright fring…
  14. A step-up transformer connected to an AC source of 120 V has 200 primary turns and 1000 secondary turns. If the secondary coil delivers a current of 2.0 A to a resistive load, what is the primary curr…
  15. What is the work done in compressing a spring from an initial compression of 0.10 m to a final compression of 0.30 m if the spring stiffness is 500 N/m?
  16. A photon of green light has an energy of 2.5 eV. What is its frequency? (h = 4.14 10^(-15) eVs)
  17. What is the equivalent capacitance of three capacitors of 6 microfarads each connected in series?
  18. A 0.10 kg ball dropped from a height of 5.0 m rebounds to a height of 3.2 m after hitting a concrete floor. How much mechanical energy was lost during the collision? (g = 9.8 m/s^2)
  19. A ray of light traveling in air enters diamond (refractive index n = 2.42) at an angle of incidence of 30°. What is the angle of refraction inside the diamond?
  20. What happens to the internal energy of an ideal gas during an isothermal expansion?
  21. What is the total resistance of a copper wire of length 50 m and cross-sectional area 1.0 mm^2 if the resistivity of copper is 1.7 10^(-8) ohmm?
  22. What is the threshold frequency f_0 for a metallic surface with a work function of Phi = 3.2 eV? (h = 4.14 10^(-15) eVs)
  23. A car engine operates on a Carnot cycle between a high-temperature reservoir at 500 K and a cold reservoir at 300 K. What is the theoretical maximum thermal efficiency of this engine?
  24. What type of nuclear reaction powers the Sun, converting hydrogen nuclei into helium nuclei with the release of colossal energy according to E = Delta m * c^2?
  25. Two sound sources emit pure tones at frequencies of 440 Hz and 444 Hz simultaneously. What beat frequency is heard by an observer?
  26. What is the magnetic flux through a circular loop of radius 0.10 m placed perpendicular to a uniform magnetic field of 0.50 T?
  27. A ball is kicked from level ground at 20 m/s at 30 degrees above the horizontal (g = 10 m/s^2, no air resistance). What is its speed when it is 3.2 m above the ground?
  28. Masses of 3 kg and 5 kg hang from a light string over a smooth pulley and are released (g = 10 m/s^2). What is the tension in the string?
  29. A 2 kg trolley moving at 6 m/s collides with a stationary 4 kg trolley and they stick together. How much kinetic energy is lost?
  30. A 12 V battery with an internal resistance of 1 ohm is connected to a 2 ohm resistor in series with a parallel pair of 3 ohm and 6 ohm resistors. What is the current through the 3 ohm resistor?
  31. A 6 microfarad and a 3 microfarad capacitor are connected in series across a 12 V supply. What is the potential difference across the 3 microfarad capacitor?
  32. A proton moves at 2.0 × 10^6 m/s perpendicular to a uniform magnetic field of 0.50 T (m = 1.67 × 10^-27 kg, e = 1.60 × 10^-19 C). What is the radius of its circular path?
  33. A ball is kicked at 20 m/s at 45 degrees above level ground (g = 10 m/s^2, no air resistance). What is its horizontal range?
  34. A ball is kicked at 30 m/s at 45 degrees above level ground (g = 10 m/s^2, no air resistance). What is its horizontal range?
  35. A ball is kicked at 40 m/s at 45 degrees above level ground (g = 10 m/s^2, no air resistance). What is its horizontal range?
  36. A ball is kicked at 10 m/s at 45 degrees above level ground (g = 10 m/s^2, no air resistance). What is its horizontal range?
  37. A ball is kicked at 50 m/s at 45 degrees above level ground (g = 10 m/s^2, no air resistance). What is its horizontal range?
  38. A projectile is launched at 20 m/s at 30 degrees above the horizontal (g = 10 m/s^2). Find its maximum height.
  39. A projectile is launched at 40 m/s at 30 degrees above the horizontal (g = 10 m/s^2). Find its maximum height.
  40. A projectile is launched at 10 m/s at 30 degrees above the horizontal (g = 10 m/s^2). Find its maximum height.
  41. A projectile is launched at 30 m/s at 30 degrees above the horizontal (g = 10 m/s^2). Find its maximum height.
  42. Masses of 3 kg and 5 kg hang from a light string over a smooth pulley (g = 10 m/s^2). What is the tension in the string?
  43. Masses of 2 kg and 6 kg hang from a light string over a smooth pulley (g = 10 m/s^2). What is the tension in the string?
  44. Masses of 4 kg and 12 kg hang from a light string over a smooth pulley (g = 10 m/s^2). What is the tension in the string?
  45. Masses of 1 kg and 3 kg hang from a light string over a smooth pulley (g = 10 m/s^2). What is the tension in the string?
  46. Masses of 2 kg and 3 kg hang from a light string over a smooth pulley (g = 10 m/s^2). What is the tension in the string?
  47. Masses of 6 kg and 10 kg hang from a light string over a smooth pulley (g = 10 m/s^2). What is the tension in the string?
  48. A 2 kg object moves in a horizontal circle of radius 3 m at a constant speed of 6 m/s. Find the centripetal force.
  49. A 4 kg object moves in a horizontal circle of radius 2 m at a constant speed of 5 m/s. Find the centripetal force.
  50. A 1 kg object moves in a horizontal circle of radius 4 m at a constant speed of 8 m/s. Find the centripetal force.
  51. A 3 kg object moves in a horizontal circle of radius 2 m at a constant speed of 4 m/s. Find the centripetal force.
  52. A 5 kg object moves in a horizontal circle of radius 3 m at a constant speed of 6 m/s. Find the centripetal force.
  53. A 2 kg object moves in a horizontal circle of radius 5 m at a constant speed of 10 m/s. Find the centripetal force.
  54. A 2 kg trolley moving at 6 m/s collides with a stationary 1 kg trolley and they stick together. Find their common speed.
  55. A 3 kg trolley moving at 4 m/s collides with a stationary 1 kg trolley and they stick together. Find their common speed.
  56. A 4 kg trolley moving at 5 m/s collides with a stationary 1 kg trolley and they stick together. Find their common speed.
  57. A 2 kg trolley moving at 9 m/s collides with a stationary 4 kg trolley and they stick together. Find their common speed.
  58. A 5 kg trolley moving at 6 m/s collides with a stationary 1 kg trolley and they stick together. Find their common speed.
  59. A 3 kg trolley moving at 8 m/s collides with a stationary 5 kg trolley and they stick together. Find their common speed.
  60. A stone is dropped from a height of 5 m (g = 10 m/s^2, no air resistance). With what speed does it hit the ground?
  61. A stone is dropped from a height of 20 m (g = 10 m/s^2, no air resistance). With what speed does it hit the ground?
  62. A stone is dropped from a height of 45 m (g = 10 m/s^2, no air resistance). With what speed does it hit the ground?
  63. A stone is dropped from a height of 80 m (g = 10 m/s^2, no air resistance). With what speed does it hit the ground?
  64. A stone is dropped from a height of 125 m (g = 10 m/s^2, no air resistance). With what speed does it hit the ground?
  65. Resistors of 2 ohm and 4 ohm are connected in series to a 12 V battery. What current flows?
  66. Resistors of 3 ohm and 6 ohm are connected in series to a 18 V battery. What current flows?
  67. Resistors of 5 ohm and 10 ohm are connected in series to a 30 V battery. What current flows?
  68. Resistors of 4 ohm and 8 ohm are connected in series to a 24 V battery. What current flows?
  69. Resistors of 6 ohm and 6 ohm are connected in series to a 24 V battery. What current flows?
  70. Resistors of 4 ohm and 8 ohm are connected in series to a 36 V battery. What current flows?
  71. Two resistors of 3 ohm and 6 ohm are connected in parallel. What is the equivalent resistance?
  72. Two resistors of 4 ohm and 12 ohm are connected in parallel. What is the equivalent resistance?
  73. Two resistors of 6 ohm and 12 ohm are connected in parallel. What is the equivalent resistance?
  74. Two resistors of 10 ohm and 15 ohm are connected in parallel. What is the equivalent resistance?
  75. Two resistors of 20 ohm and 30 ohm are connected in parallel. What is the equivalent resistance?
  76. Two resistors of 12 ohm and 12 ohm are connected in parallel. What is the equivalent resistance?
  77. A heater of resistance 6 ohm is connected to a 12 V supply. What power does it dissipate?
  78. A heater of resistance 8 ohm is connected to a 24 V supply. What power does it dissipate?
  79. A heater of resistance 5 ohm is connected to a 20 V supply. What power does it dissipate?
  80. A heater of resistance 10 ohm is connected to a 30 V supply. What power does it dissipate?
  81. A heater of resistance 3 ohm is connected to a 9 V supply. What power does it dissipate?
  82. A heater of resistance 16 ohm is connected to a 48 V supply. What power does it dissipate?
  83. Two point charges of 2 microcoulomb and 3 microcoulomb are 0.3 m apart in air (k = 9 x 10^9 N m^2/C^2). Find the force between them.
  84. Two point charges of 4 microcoulomb and 5 microcoulomb are 0.3 m apart in air (k = 9 x 10^9 N m^2/C^2). Find the force between them.
  85. Two point charges of 3 microcoulomb and 3 microcoulomb are 0.3 m apart in air (k = 9 x 10^9 N m^2/C^2). Find the force between them.
  86. Two point charges of 5 microcoulomb and 5 microcoulomb are 0.3 m apart in air (k = 9 x 10^9 N m^2/C^2). Find the force between them.
  87. Two point charges of 2 microcoulomb and 2 microcoulomb are 0.3 m apart in air (k = 9 x 10^9 N m^2/C^2). Find the force between them.
  88. Two point charges of 6 microcoulomb and 5 microcoulomb are 0.3 m apart in air (k = 9 x 10^9 N m^2/C^2). Find the force between them.
  89. A wire of length 2 m carrying 4 A is placed in a 0.5 T field at 30 degrees to the field lines. What force acts on it?
  90. A wire of length 4 m carrying 5 A is placed in a 0.2 T field at 30 degrees to the field lines. What force acts on it?
  91. A wire of length 2 m carrying 2 A is placed in a 3 T field at 30 degrees to the field lines. What force acts on it?
  92. A wire of length 2 m carrying 8 A is placed in a 0.25 T field at 30 degrees to the field lines. What force acts on it?
  93. A converging lens has focal length 10 cm. An object is placed 30 cm from it. At what distance is the image formed?
  94. A converging lens has focal length 12 cm. An object is placed 20 cm from it. At what distance is the image formed?
  95. A converging lens has focal length 15 cm. An object is placed 30 cm from it. At what distance is the image formed?
  96. A converging lens has focal length 20 cm. An object is placed 30 cm from it. At what distance is the image formed?
  97. A converging lens has focal length 6 cm. An object is placed 9 cm from it. At what distance is the image formed?
  98. A converging lens has focal length 10 cm. An object is placed 15 cm from it. At what distance is the image formed?
  99. An ideal transformer has 100 turns on the primary and 50 turns on the secondary, with 240 V on the primary. What is the secondary voltage?
  100. An ideal transformer has 200 turns on the primary and 100 turns on the secondary, with 120 V on the primary. What is the secondary voltage?

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