Jubilee Institute Admission Test · STEM Sciences

Physical and Chemical Principles

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

Practise Physical and Chemical Principles now

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

All 81 questions

  1. A uniform rod of length 2.0 m and mass 6.0 kg is pivoted at one end. A vertical upward force F is applied at the opposite end to keep the rod in horizontal equilibrium. Taking g = 9.8 m/s^2, what is t…
  2. An aqueous solution of hydrochloric acid has a pH of 2.0. If 10 mL of this solution is diluted with pure distilled water to a final volume of 1000 mL, what is the new pH of the resulting solution at 2…
  3. A car traveling at a constant speed of 20 m/s accelerates uniformly at 2.5 m/s^2 over a straight distance of 100 m. What is the final velocity of the car at the end of this distance?
  4. Which of the following electronic configurations represents a transition metal atom in its ground state according to Hund's rule and the Aufbau principle?
  5. Two point charges of +4.0 microcoulombs and -1.0 microcoulombs are positioned 0.30 m apart along a line in a vacuum. At what point along the line passing through both charges is the net electrostatic…
  6. When 5.4 g of solid aluminum (molar mass = 27 g/mol) reacts completely with excess iron(III) oxide via the thermite reaction: 2Al + Fe2O3 -> Al2O3 + 2Fe, what mass of molten iron (molar mass = 56 g/mo…
  7. A light ray passes from crown glass (refractive index n = 1.50) into water (refractive index n = 1.33). What is the critical angle for total internal reflection at this boundary?
  8. What is the oxidation state of sulfur in the thiosulfate anion (S2O3^2-)?
  9. A 500 W electric immersion heater is placed into 1.0 kg of water at 20 °C. Assuming negligible heat losses and specific heat capacity of water c = 4200 J/(kg*°C), how long will it take to heat the wat…
  10. According to Le Chatelier's principle, which change will shift the following exothermic equilibrium toward the product side: N2(g) + 3H2(g) <=> 2NH3(g) (Delta H = -92 kJ/mol)?
  11. A ball is thrown horizontally from the top of a 45 m tall cliff with an initial horizontal speed of 15 m/s. Neglecting air resistance and taking g = 10 m/s^2, what is the horizontal range at which it…
  12. Which of the following organic functional groups contains a carbonyl group bonded directly to both a carbon atom and a hydroxyl group?
  13. In a simple harmonic oscillator consisting of a mass m on an ideal spring with spring constant k, what happens to the period of oscillation T if the mass is quadrupled (4m) and the spring constant rem…
  14. What type of intermolecular force is primarily responsible for the unusually high boiling point of water (H2O, 100 °C) compared to hydrogen sulfide (H2S, -60 °C)?
  15. A step-down transformer connected to a 240 V AC primary line has 1200 primary turns and 60 secondary turns. Assuming 100% operational efficiency, what is the output voltage delivered by the secondary…
  16. Which of the following elements has the highest first ionization energy among Period 3 elements of the periodic table?
  17. An ideal gas initially occupying a volume of 2.0 L at 300 K and 1.0 atm is heated isobarically (at constant pressure) until its temperature reaches 450 K. What is its new volume?
  18. In a galvanic (voltaic) cell consisting of standard zinc and copper half-cells (Zn2+/Zn, E° = -0.76 V; Cu2+/Cu, E° = +0.34 V), what is the standard cell potential E°_cell?
  19. What is the equivalent resistance between terminals A and B of a circuit containing three identical 12-ohm resistors connected in parallel?
  20. What volume of 0.20 M sodium hydroxide (NaOH) is required to neutralize completely 25.0 mL of 0.10 M sulfuric acid (H2SO4)?
  21. A wave traveling along a stretched string has a frequency of 250 Hz and a wavelength of 0.80 m. What is the propagation speed of the wave along the string?
  22. Which of the following compounds exhibits geometric (cis-trans or E/Z) isomerism due to restricted bond rotation?
  23. A 0.50 kg block slides across a horizontal surface with an initial velocity of 4.0 m/s and comes to rest after traveling 2.0 m due to friction. What is the magnitude of the constant frictional force a…
  24. According to the kinetic molecular theory of gases, what happens to the average kinetic energy of gas molecules when the absolute temperature (in Kelvin) is tripled?
  25. When an alpha particle (helium-4 nucleus) is emitted by a radioactive nucleus of Uranium-238 (atomic number 92), what are the mass number and atomic number of the resulting daughter nucleus?
  26. A photon has a frequency of 6.0 10^14 Hz. Taking Planck's constant as h = 6.63 10^(-34) Js and 1 eV = 1.60 10^(-19) J, what is the energy of this photon in electron-volts (eV)?
  27. A ball is thrown horizontally at 12 m/s from the top of a 45 m cliff. Ignoring air resistance and taking g = 10 m/s^2, what is its speed just before it hits the ground?
  28. A 12 V battery with internal resistance 1 ohm drives a 3 ohm resistor in series with a parallel pair of 6 ohm and 3 ohm resistors. What current flows through the 6 ohm resistor?
  29. A 2 kg block moving at 6 m/s collides inelastically with a stationary 4 kg block and the two stick together on a rough floor with coefficient of kinetic friction 0.3. Taking g = 10 m/s^2, how far do t…
  30. An excess of 5.0 g of CaCO3 reacts with 100 mL of 0.80 M HCl according to CaCO3 + 2HCl -> CaCl2 + H2O + CO2. What volume of CO2 forms at STP (22.4 L per mole)?
  31. 50 g of ice at 0 C is added to 250 g of water at 40 C in an insulated container. Take c(water) = 4.18 J/(g C) and L(fusion) = 334 J/g. What is the final temperature?
  32. A motor lifts a load with a force of 50 N through 3 m in 4 s. What power does it develop?
  33. What is the weight of a 2 kg object? (Use N/kg.)
  34. For the equilibrium concentrations are , and mol/L. What is ?
  35. What mass of NaOH is needed to make 5 L of a 0.1 mol/L solution? (Relative atomic masses: Na = 23, O = 16, H = 1.)
  36. A 1500 kg car moving at 20 m/s is stopped by a constant braking force of 2500 N. What is the stopping distance?
  37. An appliance on a 24 V supply draws 0.5 A. What is its power?
  38. What is the period of a wave of frequency 50 Hz?
  39. A force of 20 N pulls a sledge 4 m along level ground at to the ground. How much work does it do? (Use .)
  40. A car starts at 6 m/s and accelerates uniformly at 2 m/s² for 2 s. How far does it travel?
  41. A 5 kg crate is pulled with a force of 18 N along a floor where friction is 8 N. What is its acceleration?
  42. How many protons are in ?
  43. A force of 10 N moves an object 3 m in the direction of the force. How much work is done?
  44. An atom has atomic number 17. How many electrons are in its outer shell?
  45. An object is dropped from rest from a height of 125 m. How long does it take to hit the ground? (Use m/s², ignore air resistance.)
  46. A compound contains 24 g carbon, 4 g hydrogen and 16 g oxygen. What is its empirical formula? (C = 12, H = 1, O = 16)
  47. How much energy is needed to raise the temperature of 3 kg of water by 9 °C? (Specific heat capacity of water J/(kg·°C).)
  48. The fundamental frequency of a string is 200 Hz. What is the frequency of its fifth harmonic?
  49. At 25 °C a solution has pH 4. What is its pOH?
  50. How much energy is needed to raise the temperature of 2 kg of water by 7 °C? (Specific heat capacity of water J/(kg·°C).)
  51. What is the oxidation number of C in CH₄?
  52. For the equilibrium concentrations are , and mol/L. What is ?
  53. How many molecules are in 0.5 mol of HCl? (Avogadro constant per mol)
  54. Which gas relights a glowing splint?
  55. How many neutrons are in ?
  56. How much energy is needed to raise the temperature of 2 kg of water by 56 °C? (Specific heat capacity of water J/(kg·°C).)
  57. Two resistors of 6 Ω and 3 Ω are connected in parallel. What is the combined resistance?
  58. A 1500 kg car moving at 10 m/s is stopped by a constant braking force of 2500 N. What is the stopping distance?
  59. A 2 Ω resistor is in series with a parallel pair of 15 Ω and 10 Ω, across a 24 V supply. What is the total current?
  60. How many molecules are in 3 mol of C₆H₁₂O₆? (Avogadro constant per mol)
  61. What is the weight of a 0.5 kg object? (Use N/kg.)
  62. A reaction should give 40 g of product but gives 5 g. What is the percentage yield?
  63. At 25 °C a solution has pH 1. What is its pOH?
  64. A spring of constant 200 N/m is stretched by 0.05 m. What energy is stored in it?
  65. The fundamental frequency of a string is 10 Hz. What is the frequency of its fifth harmonic?
  66. What is the pH of a strong acid with mol/L?
  67. What is the mass of 3 mol of CaO? (Relative atomic masses: Ca = 40, O = 16.)
  68. What does an exothermic reaction do?
  69. A transformer has 500 turns on the primary and 5000 turns on the secondary. If the primary voltage is 110 V, what is the secondary voltage?
  70. What is the weight of a 20 kg object? (Use N/kg.)
  71. A stone is thrown vertically upwards at 10 m/s. What maximum height does it reach? (Use m/s².)
  72. How much energy is needed to raise the temperature of 3 kg of water by 54 °C? (Specific heat capacity of water J/(kg·°C).)
  73. What is the mass of 2 mol of CaCO₃? (Relative atomic masses: Ca = 40, C = 12, O = 16.)
  74. What is the oxidation number of Cl in KClO₃?
  75. What happens to the image formed by a plane mirror?
  76. How many neutrons are in ?
  77. What is the oxidation number of N in HNO₃?
  78. What is the oxidation number of S in H₂SO₄?
  79. A 9 Ω resistor is in series with a parallel pair of 6 Ω and 12 Ω, across a 39 V supply. What is the total current?
  80. What does Le Chatelier's principle predict when a system at equilibrium is disturbed?
  81. What gravitational potential energy does a 12 kg mass gain when lifted 16 m? (Use m/s².)

Keep practising

More Jubilee Institute Admission Test topics

All Jubilee Institute Admission Test practice →

Ready for the full Jubilee Institute Admission Test test?

Take a mock testJubilee Institute Admission Test hub