IOE Engineering Entrance Examination (Tribhuvan University, Nepal) · Physics

Numerical problems in physics

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

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 55 questions

  1. A ball is thrown at 40 m/s at 45° to the ground. Taking m/s², what is its horizontal range?
  2. A simple pendulum has length 3.6 m. Taking m/s², what is its time period?
  3. Two point charges of 4 μC and 6 μC are placed 0.6 m apart in air. Taking N m²/C², what is the force between them?
  4. Capacitors of 3 μF and 12 μF are connected in parallel. What is the equivalent capacitance?
  5. How much energy is stored in a 4 μF capacitor charged to 10 V?
  6. Photons of energy 7 eV fall on a metal of work function 2.5 eV. What is the maximum kinetic energy of the emitted photoelectrons?
  7. An object is placed 30 cm from a convex lens of focal length 10 cm. At what distance from the lens is the image formed?
  8. A gas at 1 atm and volume 12 litres is compressed isothermally to 5 litres. What is the new pressure?
  9. A Carnot engine works between a source at 500 K and a sink at 300 K. What is its efficiency?
  10. A 2 kg mass moves in a horizontal circle of radius 8 m at a speed of 6 m/s. What centripetal force acts on it?
  11. A straight wire of length 0.3 m carries a current of 5 A at right angles to a magnetic field of 0.2 T. What force acts on the wire?
  12. 3 kg of water at 90 °C is mixed with 2 kg of water at 10 °C. What is the final temperature, assuming no heat is lost?
  13. What is the kinetic energy of a 10 kg body moving at 4 m/s?
  14. A cell of emf 12 V and internal resistance 4 ohm is connected to an external resistor of 2 ohm. What current flows?
  15. A projectile is launched at 60 m/s at 30° above the horizontal. Taking m/s², what is the maximum height it reaches?
  16. A ball is thrown at 30 m/s at 45° to the ground. Taking m/s², what is its horizontal range?
  17. A simple pendulum has length 0.9 m. Taking m/s², what is its time period?
  18. Two point charges of 6 μC and 5 μC are placed 0.3 m apart in air. Taking N m²/C², what is the force between them?
  19. Capacitors of 2 μF and 3 μF are joined in series. What is the equivalent capacitance?
  20. How much energy is stored in a 10 μF capacitor charged to 100 V?
  21. Photons of energy 4 eV fall on a metal of work function 1.5 eV. What is the maximum kinetic energy of the emitted photoelectrons?
  22. An object is placed 30 cm from a convex lens of focal length 20 cm. At what distance from the lens is the image formed?
  23. A Carnot engine works between a source at 800 K and a sink at 250 K. What is its efficiency?
  24. A sample has 320 radioactive nuclei. How many remain undecayed after 5 half-lives?
  25. A 4 kg trolley moving at 6 m/s collides with a stationary 2 kg trolley and the two stick together. What is their common speed?
  26. A 2 kg mass moves in a horizontal circle of radius 2 m at a speed of 6 m/s. What centripetal force acts on it?
  27. A straight wire of length 0.3 m carries a current of 2 A at right angles to a magnetic field of 2 T. What force acts on the wire?
  28. A string of length 0.5 m and mass per unit length 0.01 kg/m is under a tension of 16 N. What is the fundamental frequency of vibration?
  29. What is the kinetic energy of a 10 kg body moving at 3 m/s?
  30. A cell of emf 24 V and internal resistance 2 ohm is connected to an external resistor of 4 ohm. What current flows?
  31. A projectile is launched at 40 m/s at 30° above the horizontal. Taking m/s², what is the maximum height it reaches?
  32. A ball is thrown at 20 m/s at 45° to the ground. Taking m/s², what is its horizontal range?
  33. A simple pendulum has length 2.5 m. Taking m/s², what is its time period?
  34. Two point charges of 4 μC and 2 μC are placed 0.9 m apart in air. Taking N m²/C², what is the force between them?
  35. Capacitors of 6 μF and 4 μF are joined in series. What is the equivalent capacitance?
  36. How much energy is stored in a 10 μF capacitor charged to 10 V?
  37. Photons of energy 5 eV fall on a metal of work function 2 eV. What is the maximum kinetic energy of the emitted photoelectrons?
  38. An object is placed 60 cm from a convex lens of focal length 15 cm. At what distance from the lens is the image formed?
  39. A gas at 1 atm and volume 6 litres is compressed isothermally to 3 litres. What is the new pressure?
  40. A Carnot engine works between a source at 500 K and a sink at 250 K. What is its efficiency?
  41. A sample has 64 radioactive nuclei. How many remain undecayed after 4 half-lives?
  42. A 1 kg mass moves in a horizontal circle of radius 4 m at a speed of 4 m/s. What centripetal force acts on it?
  43. A string of length 2 m and mass per unit length 0.01 kg/m is under a tension of 16 N. What is the fundamental frequency of vibration?
  44. What is the kinetic energy of a 4 kg body moving at 6 m/s?
  45. A cell of emf 6 V and internal resistance 2 ohm is connected to an external resistor of 4 ohm. What current flows?
  46. A ball is thrown at 50 m/s at 45° to the ground. Taking m/s², what is its horizontal range?
  47. Two point charges of 2 μC and 3 μC are placed 0.6 m apart in air. Taking N m²/C², what is the force between them?
  48. Capacitors of 6 μF and 12 μF are connected in parallel. What is the equivalent capacitance?
  49. How much energy is stored in a 20 μF capacitor charged to 10 V?
  50. An object is placed 60 cm from a convex lens of focal length 10 cm. At what distance from the lens is the image formed?
  51. A gas at 3 atm and volume 8 litres is compressed isothermally to 5 litres. What is the new pressure?
  52. A Carnot engine works between a source at 600 K and a sink at 250 K. What is its efficiency?
  53. A sample has 160 radioactive nuclei. How many remain undecayed after 5 half-lives?
  54. A 2 kg mass moves in a horizontal circle of radius 2 m at a speed of 10 m/s. What centripetal force acts on it?
  55. A straight wire of length 0.3 m carries a current of 2 A at right angles to a magnetic field of 1 T. What force acts on the wire?

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