DTM University Entrance Test (Uzbekistan) · Natural Sciences

Physics and chemistry

72 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 72 questions

  1. Which unit is used for force in the SI system?
  2. A car moving at 20 m/s accelerates at 2 m/s² for 5 s. What is its final speed?
  3. A resistor of 6 Ω carries a current of 2 A. What is the voltage across it?
  4. What is the kinetic energy of a 2 kg object moving at 3 m/s?
  5. A stone falls from rest for 2 s. Taking g = 10 m/s², how far does it fall?
  6. Which part of the electromagnetic spectrum has the highest frequency?
  7. A 12 V battery is connected to a 6 Ω resistor and a 3 Ω resistor in parallel. What is the total current?
  8. A 5 kg block is pushed with 30 N and friction is 10 N. What is its acceleration?
  9. A ball is thrown vertically at 30 m/s. Taking g = 10 m/s², what is the maximum height?
  10. How much work is done when a 10 kg mass is lifted 3 m? Take g = 10 m/s².
  11. A wave has frequency 50 Hz and wavelength 6 m. What is its speed?
  12. What is the atomic number of carbon?
  13. What is the chemical formula of table salt?
  14. What is the pH of a 0.01 M solution of the strong acid HCl?
  15. In 2H₂ + O₂ → 2H₂O, how many moles of water form from 4 mol of H₂ with enough O₂?
  16. What is the molar mass of carbon dioxide (C = 12, O = 16)?
  17. What type of bond holds sodium and chlorine together in NaCl?
  18. What mass of NaOH (M = 40 g/mol) is needed to prepare 500 mL of a 0.2 M solution?
  19. 6.5 g of zinc (M = 65 g/mol) reacts with excess HCl. What volume of H₂ forms at STP (22.4 L/mol)?
  20. What is the oxidation state of manganese in KMnO₄?
  21. What force gives a mass of 5 kg an acceleration of 9 m/s²?
  22. What is the kinetic energy of a 20 kg body moving at 9 m/s?
  23. How much gravitational potential energy does a 2 kg mass gain when lifted 18 m? (take g = 10 m/s²)
  24. A force of 100 N acts at 60° to the horizontal and moves a body 11 m along the horizontal. How much work does it do?
  25. A machine does 1500 J of work in 60 s. What is its power?
  26. A wave has a frequency of 100 Hz and a wavelength of 0.2 m. What is its speed?
  27. A source vibrates with a frequency of 4 Hz. What is its period?
  28. A spring of constant 800 N/m is stretched by 0.3 m. How much energy is stored in it?
  29. A resistor of 6 Ω carries a current of 5 A. What is the potential difference across it?
  30. Two resistors of 60 Ω and 20 Ω are connected in parallel. What is their combined resistance?
  31. A 2 μF capacitor is charged to 10 V. How much charge does it store?
  32. A transformer has 500 turns on the primary coil and 1000 turns on the secondary. The primary voltage is 230 V. What is the secondary voltage?
  33. A body moves in a circle of radius 20 m at 10 m/s. What is its centripetal acceleration?
  34. A 40 kg load hangs 2 m from the pivot of a light uniform lever. What force at 0.25 m on the other side of the pivot balances it? (take g = 10 m/s²)
  35. A body moving at 15 m/s accelerates uniformly at 8 m/s² for 7 s. What is its final speed?
  36. A body with initial speed 7 m/s accelerates uniformly at 5 m/s² over 48 m. What is its final speed?
  37. What force gives a mass of 4 kg an acceleration of 7 m/s²?
  38. How much gravitational potential energy does a 2 kg mass gain when lifted 29 m? (take g = 10 m/s²)
  39. A force of 40 N acts at 60° to the horizontal and moves a body 11 m along the horizontal. How much work does it do?
  40. A machine does 1500 J of work in 10 s. What is its power?
  41. A force of 200 N acts on an area of 0.2 m². What pressure does it exert?
  42. What is the pressure due to a column of liquid of density 1000 kg/m³ and depth 2 m? (take g = 10 m/s²)
  43. A wave has a frequency of 50 Hz and a wavelength of 0.5 m. What is its speed?
  44. A spring of constant 100 N/m is stretched by 0.05 m. How much energy is stored in it?
  45. A resistor of 20 Ω carries a current of 5 A. What is the potential difference across it?
  46. How much energy in kWh does a 2000 W heater use in 5 hours?
  47. A 2 μF capacitor is charged to 6 V. How much charge does it store?
  48. A wire 2 m long carries 10 A at right angles to a magnetic field of 0.5 T. What force acts on it?
  49. A transformer has 200 turns on the primary coil and 4000 turns on the secondary. The primary voltage is 220 V. What is the secondary voltage?
  50. An object is placed 40 cm from a convex lens of focal length 12 cm. How far from the lens is the image?
  51. How many moles are there in 189 g of HNO₃? (molar mass 63 g/mol)
  52. What is the pH of 10⁻2 mol/dm³ hydrochloric acid (a strong monobasic acid)?
  53. What is the electronic configuration (shell by shell) of the element P (atomic number 15)?
  54. What is the molar mass of CaCl₂? (H = 1, C = 12, N = 14, O = 16, Na = 23, Mg = 24, Al = 27, S = 32, Cl = 35.5, K = 39, Ca = 40, Mn = 55, Fe = 56)
  55. How many moles are there in 80 g of MgO? (molar mass 40 g/mol)
  56. What is the mass of 2 mol of SO₂? (molar mass 64 g/mol)
  57. How many moles are there in 22 g of CO₂? (molar mass 44 g/mol)
  58. What is the percentage by mass of N in NH₃?
  59. What is the molar mass of NaOH? (H = 1, C = 12, N = 14, O = 16, Na = 23, Mg = 24, Al = 27, S = 32, Cl = 35.5, K = 39, Ca = 40, Mn = 55, Fe = 56)
  60. 3 mol of solute is dissolved to make 2 dm³ of solution. What is the molarity?
  61. What volume does 2 mol of NH₃ gas occupy at STP? (molar volume 22.4 dm³/mol)
  62. What is the electronic configuration (shell by shell) of the element Ar (atomic number 18)?
  63. What is the molar mass of CaCO₃? (H = 1, C = 12, N = 14, O = 16, Na = 23, Mg = 24, Al = 27, S = 32, Cl = 35.5, K = 39, Ca = 40, Mn = 55, Fe = 56)
  64. How many moles are there in 320 g of SO₂? (molar mass 64 g/mol)
  65. What is the mass of 5 mol of C₆H₁₂O₆? (molar mass 180 g/mol)
  66. 0.5 mol of solute is dissolved to make 2 dm³ of solution. What is the molarity?
  67. What volume does 3 mol of H₂ gas occupy at STP? (molar volume 22.4 dm³/mol)
  68. For the reaction N₂ + 3H₂ → 2NH₃, what mass of NH₃ forms from 56 g of N₂? (molar masses: N₂ = 28, NH₃ = 17 g/mol)
  69. What is the electronic configuration (shell by shell) of the element B (atomic number 5)?
  70. How many moles are there in 80 g of Fe₂O₃? (molar mass 160 g/mol)
  71. What is the mass of 3 mol of C₆H₁₂O₆? (molar mass 180 g/mol)
  72. 2 mol of solute is dissolved to make 4 dm³ of solution. What is the molarity?

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