General Practical Physics I — 2022 Past Questions

University of Ilorin PHY107: 62 questions.

Topics: Specific heat capacity of a good conductor, Moment of inertia, Graphical methods, Measurement of length, Viscosity, Hooke's law (Static), The simple Pendulum, Specific heat capacity of a liquid, Hooke's law (Dynamic)

  1. In the equation \( v = \frac{2ga^2(\rho - \sigma)}{9\eta} \), what quantities are usually measured experimentally?
    1. Radius (a) and time (t)
    2. Acceleration due to gravity (g)
    3. Terminal velocity (v) and radius (a)
    4. Densities (ρ and σ)
  2. What is the aim of the viscosity experiment?
    1. To measure the surface tension of glycerol
    2. To determine the density of glycerol
    3. To use Stoke's Law to determine the coefficient of viscosity of glycerol by timing the fall of a ball bearing
    4. To study the effect of temperature on viscosity
  3. In a simple pendulum experiment, the period (T) does NOT depend on:
    1. Mass and length
    2. Length and amplitude
    3. Mass and amplitude
    4. Amplitude only
  4. From the equation \( T = 2\pi\sqrt{\frac{m}{k}} \), if \( m^2 \) is plotted against \( T \), what is the spring constant \( k \) when the slope is 0.056?
    1. 1.21 N/m
    2. 2.21 N/m
    3. 3.21 N/m
    4. 4.21 N/m
  5. Given the relation \( T = 2\pi\sqrt{\frac{I}{C}} \), where \( C = \frac{n\pi r^4}{2L} \), if \( T^2 \) is plotted against \( L \), what is the moment of inertia \( I \) in terms of the slope \( m \)?
    1. \( \frac{I}{m} = \frac{\pi r^4}{8\pi} \)
    2. \( \frac{I}{m} = \frac{\pi r^4}{4\pi} \)
    3. \( \frac{I}{m} = \frac{\pi r^4}{2\pi} \)
    4. \( \frac{I}{m} = \frac{\pi r^4}{\pi} \)
  6. Given the expression \( I_e = \lambda T^n \), what is the linearized form?
    1. \( \log(I_e) = n\log T + \log \lambda \)
    2. \( \log(I_e) = \lambda \log T + n \)
    3. \( \log(I_e) = T \log n + \lambda \)
    4. \( \log(I_e) = \log \lambda + T \)
  7. Given the expression \( T = k e^{bv} \), what is \( b \) when the slope is 3.32?
    1. 1.32
    2. 2.32
    3. 3.32
    4. 4.32
  8. In the moment of inertia experiment, the equation \( a = \frac{gh}{L(1 + \frac{I}{mr^2})} \) is used. What does \( h \) represent?
    1. Distance
    2. Height of the inclined plane
    3. Height of the cylinder
    4. Distance of fall
  9. The aim of the experiment where a cylinder is observed falling down an inclined plane is:
    1. To determine the moment of inertia of the cylinder
    2. To determine the acceleration of the cylinder
    3. To determine the speed of the cylinder
    4. To measure the friction coefficient
  10. If the heat capacity of a substance of mass 10g is 3 J/K, what is the heat capacity of a substance of mass 100g of the same material?
    1. 30 J/K
    2. 0.03 J/K
    3. 300 J/K
    4. 0.3 J/K
  11. What is each division of the secondary scale of a micrometer screw gauge?
    1. 0.1 mm
    2. 0.01 mm
    3. 0.001 mm
    4. 1 mm
  12. A ball of mass 100g has an original length of 10 cm and a new length of 13.2 cm. What is its extension?
    1. 13.2 cm
    2. 3.2 cm
    3. 10 cm
    4. 13 cm
  13. If a reading is measured as 15.0 cm on a meter rule, what is the correct recording?
    1. 15.0 ± 0.5 cm
    2. 15.0 ± 0.05 cm
    3. 15.0 ± 0.1 cm
    4. 15.0 ± 0.01 cm
  14. A substance of mass 10g has a heat capacity of 300 J/K. What is the heat capacity of 100g of the same substance?
    1. 3000 J/K
    2. 300 J/K
    3. 30 J/K
    4. 3 J/K
  15. A Hookean spring has an extension of 5 cm when a load of 500 N is hung on it. Calculate its spring constant.
    1. 2500 N/m
    2. 100 N/m
    3. 10000 N/m
    4. 1000 N/m
  16. The ratio of the masses of P and Q is 2:1. On application of heat, they both have the same rise in temperature. What is the ratio of their specific heat capacities?
    1. 3:1
    2. 2:3
    3. 2:1
    4. 1:2
  17. Values that are close to the true value are said to be:
    1. Accurate
    2. Precise
    3. Concise
    4. Real
  18. Calculate the specific heat capacity for a mass of 9g whose temperature was raised from 10°C to 110°C, if 108 J of heat was applied.
    1. 120 J/kg/K
    2. 240 J/kg/K
    3. 360 J/kg/K
    4. 480 J/kg/K
  19. Which apparatus is used to determine the coefficient of viscosity?
    1. Ball bearing, magnet, thread, measuring cylinder, stopwatch
    2. Ball bearing, thread, measuring cylinder, stopwatch
    3. Magnet, thermometer, beaker, stopwatch
    4. Measuring cylinder, thermometer, ruler, stopwatch
  20. Which statement about viscosity is correct?
    1. For a particular liquid, as temperature increases, viscosity decreases
    2. As density increases, viscosity decreases
    3. Viscosity is independent of temperature
    4. Viscosity increases with pressure decrease
  21. The motion of a cylinder rolling down an inclined plane is:
    1. Cyclic and periodic
    2. Translational and rotational
    3. Periodic and rotational
    4. Linear and oscillatory
  22. Which factor can affect the simple pendulum experiment?
    1. Drought
    2. Breeze
    3. Pressure
    4. Temperature
  23. Lead of mass 250g at 170°C is added to 100g of water at 0°C. Calculate the specific heat capacity of lead if the final temperature is 12°C (SHC of water = 4200 J/kg/K).
    1. 127.6 J/kg/K
    2. 255.2 J/kg/K
    3. 63.8 J/kg/K
    4. 31.9 J/kg/K
  24. Masses A and B are heated to the same temperature and placed in 1000g of water at 10°C. Mass A raises the water temperature by 3.65°C, and mass B by 2.63°C. Which statement is correct?
    1. B has a higher heat capacity than A
    2. A has a higher heat capacity than B
    3. A and B have the same heat capacity
    4. The heat capacity cannot be compared
  25. A mass of 50g was hung on a spring of length 10cm. The new length was 13.23cm. What is the extension?
    1. 3.23 cm
    2. 2.23 cm
    3. 1.23 cm
    4. 0.23 cm
  26. The restoring force in Hooke's law experiment is:
    1. kx
    2. -kx
    3. mg
    4. -mg
  27. Viscosity is defined as:
    1. Internal friction between fluids
    2. Resistance to flow under gravity
    3. Surface tension of a liquid
    4. Density gradient in a fluid
  28. What graph is plotted in the linearized form of the equation \( PV^{\lambda} = K \)?
    1. Log P vs log V
    2. P vs V
    3. ln P vs ln V
    4. 1/P vs 1/V
  29. A vernier microscope is used to measure the following EXCEPT:
    1. External diameter of a test tube
    2. Diameter of ink spread on a table
    3. Internal diameter of a test tube
    4. Width of a meter rule
  30. In the equation \( T = Ke^{bv} \), where \( T \) is plotted against \( v \), the slope is 3.22k and the intercept is 0.82k. What is the value of \( k \)?
    1. 3.22k
    2. 0.82k
    3. 25.04k
    4. 0.06k
  31. What does the negative sign mean in Hooke's law (static experiment)?
    1. The restoring force is equal in magnitude and opposite in direction to the applied force
    2. The restoring force is in the same direction as the applied force
    3. The restoring force is opposite but same magnitude as the applied force
    4. The restoring force is opposite in direction to the applied force
  32. A vernier caliper is used to measure the diameter of a ball (0.96 cm). What is the volume of the ball?
    1. 4.83 × 10⁻⁷ m³
    2. 7.771 × 10⁻⁷ m³
    3. 9.66 × 10⁻⁷ m³
    4. 1.23 × 10⁻⁶ m³
  33. A micrometer screw gauge reading shows the major scale at 2 mm and the minor scale at 38 units. What is the measurement?
    1. 2.38 mm
    2. 2.45 mm
    3. 2.038 mm
    4. 2.83 mm
  34. The frictional force in the moment of inertia experiment is given by:
    1. \( F_r = -mg \sin \theta \)
    2. \( F_r = -mg \cot \theta \)
    3. \( F_r = -mg \cos \theta \)
    4. \( F_r = -mg \tan \theta \)
  35. The moment of inertia of a solid cylinder is:
    1. \( \frac{1}{4} Mr^2 \)
    2. \( Mr^2 \)
    3. \( \frac{1}{3} Mr^2 \)
    4. \( \frac{1}{5} Mr^2 \)
  36. The experiment where a cylindrical drum is rolled down an inclined plane determines:
    1. Mass of the cylinder
    2. None of these
    3. Mass distribution of the cylinder
    4. Moment of inertia of the cylinder
  37. A copper lid on a calorimeter prevents heat loss primarily by:
    1. Convection
    2. Conduction
    3. Radiation
    4. Insulation
  38. In a specific heat capacity experiment, which item is NOT needed?
    1. Insulation mat
    2. Cold water
    3. Beam balance
    4. Liquid-in-glass thermometer
  39. Forces acting on a ball in a viscous fluid include:
    1. Surface tension, viscosity, weight
    2. Viscosity, weight, upthrust
    3. Thermal conductivity, weight, upthrust
    4. Viscosity, surface tension, upthrust
  40. High stiffness of a spring causes:
    1. Low extension under load
    2. High oscillation frequency
    3. Reduced spring constant
    4. Increased elastic limit
  41. In the relation \( T = 2\pi \sqrt{\frac{M}{K}} \), what graph gives the slope as \( K \)?
    1. \( T^2 \) vs \( M \)
    2. \( T \) vs \( \frac{1}{M} \)
    3. \( T \) vs \( \frac{1}{\sqrt{M}} \)
    4. \( T^2 \) vs \( \frac{1}{M} \)
  42. What is the part labeled in a micrometer screw gauge (MSG)?
    1. Frame
    2. Thimble
    3. Anvil
    4. Spindle
  43. How many divisions on the vernier scale correspond to 1 division on the main scale?
    1. 0
    2. 9
    3. 1
    4. 10
  44. Which relation is correct for a body with mass (m), specific heat capacity (s), and heat capacity (C)?
    1. msΔθ = mc
    2. ms = mc
    3. ms = c⁻¹
    4. C = ms
  45. A body of mass 0.05 kg with SHC of 3900 J/kg/K was heated from 20°C to 70°C. What is the heat evolved?
    1. 975 J
    2. 9750 J
    3. 390 J
    4. 3900 J
  46. 108 J of heat was evolved from a 9g body when heated from 10°C to 110°C. What is its SHC?
    1. 130 J/kg/K
    2. 120 J/kg/K
    3. 140 J/kg/K
    4. 150 J/kg/K
  47. In the viscosity experiment, how does viscosity change with temperature?
    1. Increases as temperature increases
    2. Reduces as temperature reduces
    3. Reduces as temperature increases
    4. Remains constant with temperature
  48. Linearize the relation \( e^y = Pe^{Bx} \).
    1. \( y = \ln P + Bx \)
    2. \( y = P + Bx \)
    3. \( \ln y = \ln P + Bx \)
    4. \( y = e^P + Bx \)
  49. Linearize the relation \( T = Ke^{Bv} \).
    1. \( \ln T = \ln K + Bv \)
    2. \( T = K + Bv \)
    3. \( \ln T = K + Bv \)
    4. \( T = \ln K + Bv \)
  50. Linearize the relation \( Y = X^{2k}P \).
    1. \( \log Y = 2k \log X + \log P \)
    2. \( Y = 2kX + P \)
    3. \( \ln Y = 2k \ln X + P \)
    4. \( Y = X^{2k} + \log P \)
  51. Which of these is correct about plotting a graph?
    1. A graph plot shows the relationship between two variables
    2. A graph plot shows only dependent variables
    3. A graph plot is independent of experimental data
    4. A graph plot cannot be linearized
  52. What is measured using a vernier caliper in the moment of inertia (MOI) experiment?
    1. Length of metal rod
    2. Length of inclined plane
    3. Diameter of metal rod
    4. Width of the plane
  53. The bore of a thermometer is measured using:
    1. Vernier caliper
    2. Micrometer screw gauge
    3. Meter rule
    4. Travelling microscope
  54. For a body undergoing simple harmonic motion (SHM) at equilibrium position:
    1. Displacement (y) = 0 and kinetic energy is maximum
    2. Acceleration (ω²y) is maximum
    3. Potential energy is minimum and displacement is maximum
    4. Kinetic energy is zero
  55. Why are different balls used in the viscosity experiment?
    1. To test multiple fluid densities
    2. Different balls have different terminal velocities
    3. To vary the temperature of the liquid
    4. To change the liquid's viscosity
  56. How can friction between two surfaces be reduced?
    1. All of these
    2. Adding a rubricant between the surfaces
    3. Adding a wedge between the surfaces
    4. Adding a lubricant between the surfaces
  57. If heat is lost during an experiment, the calculated specific heat capacity will:
    1. Increase
    2. Decrease
    3. Remain the same
    4. Become negative
  58. What is the moment of inertia of a cylindrical rod about its central axis?
    1. ½MR²
    2. ⅛MR²
    3. MR²
    4. ¼MR²
  59. Calculate the heat absorbed by a 0.05 kg copper block (SHC=3900 J/kg·K) heated from 20°C to 70°C.
    1. 3970 J
    2. 2398 J
    3. 9750 J
    4. 975 J
  60. Convert ethyl alcohol's boiling point (78.5°C) and freezing point (-117°C) to Fahrenheit.
    1. 173.3°F and -178.6°F
    2. 260.6°F and 173.3°F
    3. 173.3°F and 260.6°F
    4. 100°F and 32°F
  61. Heat conduction from a hot to cold body is:
    1. Reversible
    2. None of the options
    3. Reversible and isochoric
    4. Irreversible
  62. How does heat primarily leave the Earth's surface?
    1. None of the options
    2. Radiation
    3. Conduction
    4. Convection

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