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Physics Grade 12 Unit 2 Two-dimensional motion
MCQs with Answers and explanations
Q1. A projectile is launched at an angle θ above the horizontal with initial speed v₀. At the highest point of its trajectory, which statement is true?
A) Its velocity is zero.
B) Its acceleration is zero.
C) Its vertical velocity is zero, but horizontal velocity remains constant.
D) Its kinetic energy is maximum.
Answer: C
Explanation: At the peak, vertical velocity becomes zero due to gravity, but horizontal velocity remains unchanged (assuming no air resistance). Acceleration is always g downward.
Q2. Two projectiles are launched with the same speed: one at 30° and the other at 60° to the horizontal. Which statement is correct (ignoring air resistance)?
A) The 30° projectile has a greater range.
B) The 60° projectile stays in the air longer.
C) Both have the same time of flight.
D) The 30° projectile reaches a higher maximum height.
Answer: B
Explanation: Complementary angles (θ and 90°−θ) give the same range, but the larger angle (60°) results in a greater vertical component → longer time of flight and higher max height.
Q3. A rigid body rotates about a fixed axis with constant angular acceleration. Which quantity remains constant?
A) Angular velocity
B) Tangential acceleration
C) Angular acceleration
D) Centripetal acceleration
Answer: C
Explanation: By definition, constant angular acceleration means α is constant. Angular velocity changes, and centripetal/tangential accelerations depend on ω or α and may vary.
Q4. An astronaut in a circular orbit around Earth feels “weightless” because:
A) There is no gravity in space
B) The gravitational force is balanced by a centrifugal force
C) Both the astronaut and spacecraft are in free fall toward Earth
D) The spacecraft’s engines cancel gravity
Answer: C
Explanation: Weightlessness occurs because both astronaut and spacecraft accelerate toward Earth at the same rate due to gravity—there’s no normal force acting, creating the sensation of zero weight
Q5. A solid sphere and a hollow sphere of the same mass and radius roll down an incline without slipping. Which reaches the bottom first?
A) Hollow sphere
B) Solid sphere
C) Both reach at the same time
D) Depends on the angle of incline
Answer: B
Explanation: The solid sphere has a smaller moment of inertia (I = 2/5 MR²) than the hollow sphere (I ≈ 2/3 MR²), so more of its gravitational potential energy converts to translational kinetic energy → faster acceleration.
Q6. Torque (τ) acting on a rotating object is related to angular acceleration (α) by:
A) τ = Iα
B) τ = ma
C) τ = Fr
D) τ = L/t
Answer: A
Explanation: This is Newton’s second law for rotation: net torque equals moment of inertia times angular acceleration.
Q7. According to Kepler’s second law, a planet moves fastest when it is:
A) Farthest from the Sun (aphelion)
B) Closest to the Sun (perihelion)
C) At the midpoint of its orbit
D) Moving perpendicular to the Sun-planet line
Answer: B
Explanation: Kepler’s second law (law of equal areas) implies that orbital speed increases as the planet gets closer to the Sun to sweep equal areas in equal times.
Q8. Kepler’s third law states that the square of the orbital period (T) of a planet is proportional to:
A) The cube of its average distance from the Sun (r³)
B) The square of its average distance (r²)
C) Its mass
D) The inverse of its orbital speed
Answer: A
Explanation: T² ∝ r³ — this applies to all planets orbiting the same central body (e.g., the Sun).
Q9. If the distance between two masses is tripled, the gravitational force between them becomes:
A) One-third
B) One-ninth
C) Three times
D) Nine times
Answer: B
Explanation: F ∝ 1/r². If r→ 3r, then F → F/9.
JOIN SHARE REACT
KNOWLEDGE HUB
1. Which of the following best defines a fluid?
A) A substance that has a fixed shape and volume
B) A substance that resists shear stress
C) A substance that yields to sideways or shearing forces
D) A substance that only exists as a gas
Answer: C
2. The SI unit of pressure is:
A) Newton (N)
B) Joule (J)
C) Pascal (Pa)
D) Watt (W)
Answer: C
3. Absolute pressure is equal to:
A) Gauge pressure minus atmospheric pressure
B) Atmospheric pressure only
C) Gauge pressure plus atmospheric pressure
D) Zero in a vacuum
Answer: C
4. A mercury barometer is used to measure:
A) Gauge pressure
B) Blood pressure
C) Atmospheric pressure
D) Absolute pressure in a closed tank
Answer: C
5. According to Archimedes’ principle, the buoyant force on an object submerged in a fluid is equal to:
A) The weight of the object
B) The volume of the object
C) The weight of the fluid displaced by the object
D) The density of the fluid
Answer: C
6. An object will float in a fluid if:
A) Its density is greater than the fluid’s density
B) Its weight is greater than the buoyant force
C) The buoyant force equals its weight
D) It is made of metal
Answer: C
7. What happens to the pressure at a point in a liquid as depth increases?
A) It decreases linearly
B) It remains constant
C) It increases linearly
D) It depends on the container’s shape
Answer: C
8. The pressure at a given depth in a fluid is independent of:
A) The density of the fluid
B) The acceleration due to gravity
C) The shape or size of the container
D) The depth itself
Answer: C
9. Specific gravity is defined as the ratio of:
A) Mass of a substance to its volume
B) Density of a substance to the density of water at 4°C
C) Weight of a substance to its mass
D) Volume of a substance to that of an equal mass of water
Answer: B
10. If an ice cube floats in water, what fraction of it remains above the surface? (Given: ρ_ice = 917 kg/m³, ρ_water = 1000 kg/m³)
A) 8.3%
B) 17%
C) 91.7%
D) 100%
Answer: A
11. Pascal’s principle states that:
A) Pressure decreases with depth
B) Pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid
C) Buoyant force depends on object shape
D) Fluids cannot be compressed
Answer: B
12. In a hydraulic lift, a small force applied on a small piston can lift a heavy load on a larger piston because:
A) Energy is created
B) Pressure is the same on both pistons
C) The fluid is compressible
D) Gravity is stronger on the larger piston
Answer: B
13. Which instrument uses Pascal’s principle in its operation?
A) Thermometer
B) Hydrometer
C) Hydraulic brake system
D) Voltmeter
Answer: C
14. The apparent weight of a submerged object is less than its actual weight due to:
A) Friction
B) Buoyant force
C) Surface tension
D) Viscosity
Answer: B
15. If two immiscible liquids of different densities are placed in the same container, the liquid with higher density will:
A) Float on top
B) Mix uniformly
C) Settle at the bottom
D) Evaporate faster
Answer: C
16. The pressure difference between two points in a static fluid depends on:
A) Horizontal distance between them
B) Color of the fluid
C) Vertical height difference
D) Container material
Answer: C
17. Why does a ship made of iron float on water?
A) Iron is lighter than water
B) The ship’s average density is less than that of water
C) Water repels iron
D) Magnetic forces keep it afloat
Answer: B
JOIN
KNOWLEDGE HUB
1. What happens to the temperature of a substance during a phase change at constant pressure?
A) It increases continuously
B) It decreases continuously
C) It remains constant
D) It first increases then decreases
Answer: C
2. The specific heat capacity of a substance is defined as the amount of heat required to:
A) Melt 1 kg of the substance
B) Raise the temperature of 1 kg of the substance by 1°C
C) Vaporize 1 kg of the substance
D) Change the phase of 1 kg of the substance
Answer: B
3. During melting, the heat energy supplied to a solid is used primarily to:
A) Increase kinetic energy of molecules
B) Increase potential energy of molecules
C) Increase temperature
D) Increase pressure
Answer: B
4. Which of the following substances has the highest specific heat capacity?
A) Iron
B) Aluminum
C) Water
D) Copper
Answer: C
5. The process in which a solid changes directly into vapor without becoming liquid is called:
A) Condensation
B) Sublimation
C) Evaporation
D) Fusion
Answer: B
6. In calorimetry experiments, the principle used is based on:
A) Conservation of momentum
B) Conservation of mass
C) Conservation of energy
D) Newton’s third law
Answer: C
7. If two bodies at different temperatures are placed in thermal contact in an isolated system, heat will flow until:
A) Both lose equal heat
B) Their temperatures become equal
C) One body cools completely
D) Their masses become equal
Answer: B
8. The latent heat of fusion refers to the heat required to:
A) Raise the temperature of a solid
B) Convert 1 kg of solid into liquid at its melting point
C) Convert 1 kg of liquid into vapor
D) Cool a gas to liquid
Answer: B
9. Water at 0°C cools a drink more effectively than ice at 0°C because:
A) Ice has lower temperature
B) Ice absorbs extra latent heat while melting
C) Water has higher density
D) Ice is a solid
Answer: B
10. The SI unit of specific heat capacity is:
A) J/kg
B) J/°C
C) J/(kg·°C)
D) kg·°C/J
Answer: C
11. When steam condenses to water at 100°C, it releases:
A) Sensible heat only
B) Latent heat of vaporization
C) Latent heat of fusion
D) No heat
Answer: B
12. Thermal expansion occurs because with increased temperature:
A) Mass of molecules increases
B) Intermolecular forces increase
C) Average separation between molecules increases
D) Volume decreases
Answer: C
13. A bimetallic strip bends when heated because the two metals have different:
A) Densities
B) Specific heat capacities
C) Coefficients of linear expansion
D) Melting points
Answer: C
14. At the triple point of water:
A) Only solid and liquid coexist
B) Solid, liquid, and vapor coexist in equilibrium
C) Only vapor and liquid coexist
D) Water boils rapidly
Answer: B
15. Which method of heat transfer does not require a medium?
A) Conduction
B) Convection
C) Radiation
D) Diffusion
Answer: C
16. Good conductors of heat typically have:
A) High specific heat
B) Low density
C) Free electrons
D) High latent heat
Answer: C
17. The quantity of heat lost by a hot body equals the heat gained by a cold body only if:
A) The system is open
B) There is no phase change
C) The system is thermally insulated
D) Both bodies are metals
Answer: C
18. The specific latent heat of vaporization of water is greater than its latent heat of fusion because:
A) More energy is needed to overcome intermolecular forces completely
B) Vapor has less mass
C) Temperature is higher
D) Water expands on freezing
Answer: A
1. What is the scope of chemistry?
A) Only studying chemical reactions
B) Studying matter and its changes
C) Ignoring the environment
D) Focusing on physics
2. How is chemistry related to other natural sciences?
A) It has no connection to other sciences
B) It overlaps with biology
C) It is independent of other sciences
D) It interacts with physics and biology
3. What role does chemistry play in production and society?
A) None
B) Minimal impact
C) Significant impact
D) Negative impact only
4. Which of the following is a common chemical industry in Ethiopia?
A) Textile manufacturing
B) Agriculture
C) Mining
D) Leather processing
5. The modern periodic table is based on the work of:
A) Lavoisier
B) Rutherford
C) Mendeleev
D) Dalton
6. Which type of bonding involves the transfer of electrons?
A) Covalent bonding
B) Ionic bonding
C) Metallic bonding
D) Hydrogen bonding
7. What is the composition of an atom with the same number of protons but different neutrons?
A) Ion
B) Isotope
C) Molecule
D) Compound
8. Who proposed the fundamental laws of chemical reactions?
A) Avogadro
B) Boyle
C) Lavoisier
D) Mendeleev
9. Which subatomic particle has a positive charge?
A) Proton
B) Neutron
C) Electron
D) Nucleus
10. What is the main focus of chemistry?
A) Studying plants
B) Studying animals
C) Studying matter and its changes
D) Studying weather patterns
11. Which element is essential for all organic compounds?
A) Nitrogen
B) Carbon
C) Oxygen
D) Hydrogen
12. What is the relationship between chemistry and biology?
A) They are completely unrelated
B) Chemistry is a subset of biology
C) Biology is a subset of chemistry
D) They overlap in the study of living organisms
13. Which scientist is known for his contributions to the atomic theory?
A) Aristotle
B) Democritus
C) Newton
D) Galileo
14. What is the significance of Mendeleev's periodic table?
A) It classified elements based on atomic number
B) It arranged elements by increasing atomic mass
C) It predicted the properties of undiscovered elements
D) It focused only on metals
15. How does chemistry impact society?
A) It has no relevance in daily life
B) It influences medicine and technology
C) It is limited to laboratories
D) It only affects the environment negatively
16. Which type of bonding involves the sharing of electrons?
A) Ionic bonding
B) Covalent bonding
C) Metallic bonding
D) Van der Waals bonding
17. What is the smallest unit of an element that retains its chemical properties?
A) Atom
B) Molecule
C) Compound
D) Ion
18. What is the most abundant element in the universe?
A) Hydrogen
B) Oxygen
C) Carbon
D) Nitrogen
19. Who discovered the electron?
A) Rutherford
B) Thomson
C) Dalton
D) Mendeleev
20. Which type of bonding is found in metals?
A) Ionic bonding
B) Covalent bonding
C) Metallic bonding
D) Polar covalent bonding
Answer
1. B 2. D 3. C 4. A 5. C
6. B 7. B 8. C 9. A 10. C
11. B 12. D 13. B 14. C
15. B 16. B 17. A 18. A
19. B 20. C
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