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1. Which of the following best describes oxidation?
A) Gain of electrons
B) Decrease in oxidation number
C) Loss of electrons
D) Addition of hydrogen
✅ Answer: C
💡 Explanation: Oxidation is the loss of electrons or an increase in oxidation number. Remember OIL RIG: Oxidation Is Loss, Reduction Is Gain.
2. In the reaction: Zn(s) + Cu²⁺(aq) → Zn²⁺(aq) + Cu(s), which species acts as the reducing agent?
A) Zn(s)
B) Cu²⁺(aq)
C) Zn²⁺(aq)
D) Cu(s)
✅ Answer: A
💡 Explanation: Zn loses electrons and is oxidized to Zn²⁺, causing Cu²⁺ to be reduced. The species that is oxidized acts as the reducing agent.
3. When balancing the half-reaction MnO₄⁻ → Mn²⁺ in acidic medium, how many electrons are gained?
A) 3
B) 5
C) 7
D) 2
✅ Answer: B
💡 Explanation: Mn changes from +7 in MnO₄⁻ to +2 in Mn²⁺, a decrease of 5 units, meaning 5 electrons are gained: MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O.
4. Which statement is TRUE about an electrolytic cell?
A) It converts chemical energy to electrical energy spontaneously
B) The anode is negative and the cathode is positive
C) It requires an external power source to drive a non-spontaneous reaction
D) Electrons flow from cathode to anode through the external circuit
✅ Answer: C
💡 Explanation: Electrolytic cells use electrical energy from an external source to force non-spontaneous redox reactions to occur.
5. During the electrolysis of concentrated aqueous sodium chloride, which ion is preferentially discharged at the anode?
A) Na⁺
B) H⁺
C) OH⁻
D) Cl⁻
✅ Answer: D
💡 Explanation: In concentrated NaCl solution, Cl⁻ ions are preferentially discharged over OH⁻ at the anode due to higher concentration, producing chlorine gas.
6. What is produced at the cathode during the electrolysis of aqueous copper(II) sulfate using inert electrodes?
A) Hydrogen gas
B) Oxygen gas
C) Copper metal
D) Sulfur dioxide
✅ Answer: C
💡 Explanation: Cu²⁺ ions are reduced at the cathode (Cu²⁺ + 2e⁻ → Cu) because copper is less reactive than hydrogen, so Cu²⁺ is discharged in preference to H⁺.
7. According to Faraday's First Law of Electrolysis, the mass of substance deposited at an electrode is directly proportional to:
A) The voltage applied
B) The quantity of electricity passed
C) The concentration of electrolyte
D) The temperature of the solution
✅ Answer: B
💡 Explanation: Faraday's First Law states that mass deposited (m) is proportional to charge (Q = I × t). Formula: m = ZIt, where Z is the electrochemical equivalent.
8. If the same quantity of electricity is passed through solutions of AgNO₃ and CuSO₄, what is the ratio of moles of Ag to Cu deposited? (Ag⁺ + e⁻ → Ag; Cu²⁺ + 2e⁻ → Cu)
A) 1:1
B) 2:1
C) 1:2
D) 4:1
✅ Answer: B
💡 Explanation: 1 mole of electrons deposits 1 mole of Ag; 2 moles of electrons deposit 1 mole of Cu. For the same charge (e.g., 2F), 2 mol Ag : 1 mol Cu → ratio 2:1.
9. Which industrial process uses electrolysis to extract a reactive metal from its molten ore?
A) Electroplating of chromium
B) Purification of copper
C) Extraction of aluminum from bauxite
D) Chlor-alkali process
✅ Answer: C
💡 Explanation: Aluminum is extracted by electrolysis of molten Al₂O₃ dissolved in cryolite (Hall-Héroult process) because aluminum is too reactive to be reduced by carbon.
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1. Which of the following statements is TRUE about the horizontal component of velocity in ideal projectile motion (neglecting air resistance)?
A) It decreases continuously due to gravity
B) It increases as the projectile rises
C) It remains constant throughout the motion
D) It becomes zero at the maximum height
✅ Answer: C
💡 Explanation: In ideal projectile motion, there is no horizontal acceleration (aₓ = 0), so the horizontal component of velocity remains constant. Gravity only affects the vertical component of motion.
2. A point on a rotating rigid body is at a distance r from the axis of rotation. If the angular velocity ω is doubled, what happens to the linear (tangential) speed v of that point?
A) It remains the same
B) It doubles
C) It halves
D) It quadruples
✅ Answer: B
💡 Explanation: The relationship is v = rω. If ω is doubled and r remains constant, then v also doubles. Linear speed is directly proportional to angular velocity.
3. Which of the following best describes the rotational analog of Newton's second law (F = ma)?
A) τ = Iα
B) L = Iω
C) K = ½Iω²
D) τ = rF sinθ
✅ Answer: A
💡 Explanation: In rotational dynamics: torque (τ) ↔ force, moment of inertia (I) ↔ mass, angular acceleration (α) ↔ linear acceleration. Thus, τ = Iα is the rotational form of F = ma.
4. Kepler's second law (law of equal areas) is a consequence of which fundamental conservation law?
A) Conservation of energy
B) Conservation of linear momentum
C) Conservation of angular momentum
D) Conservation of mass
✅ Answer: C
💡 Explanation: Kepler's second law states that a planet-Sun line sweeps equal areas in equal times. This occurs because gravitational force is a centralh force, so angular momentum (L = mvr) is conserved.
5. If the distance between two point masses is tripled, how does the gravitational force between them change?
A) It becomes 3 times larger
B) It becomes 9 times larger
C) It becomes 1/3 of the original
D) It becomes 1/9 of the original
✅ Answer: D
💡 Explanation: Newton's law: F ∝ 1/r². If r → 3r, then F → F/(3²) = F/9. Gravitational force follows an inverse-square relationship with distance.
6. A ball is projected horizontally from the top of a 45 m high building with an initial speed of 20 m/s. Neglecting air resistance, what is the time taken for the ball to hit the ground? (Take g = 10 m/s²)
A) 2.0 s
B) 3.0 s
C) 4.5 s
D) 9.0 s
✅ Answer: B
💡 Explanation: Vertical motion determines time of flight:
h = ½gt² → 45 = ½(10)t² → t² = 9 → t = 3 s.
Horizontal velocity does not affect vertical fall time.
7. A wheel of radius 0.5 m rotates with a constant angular acceleration of 4 rad/s². If it starts from rest, what is the linear speed of a point on its rim after 3 seconds?
A) 2 m/s
B) 6 m/s
C) 12 m/s
D) 24 m/s
✅ Answer: B
💡 Explanation:
Step 1: Find angular velocity: ω = ω₀ + αt = 0 + (4)(3) = 12 rad/s
Step 2: Find linear speed: v = rω = (0.5)(12) = 6 m/s
8. A torque of 20 N·m is applied to a disk with a moment of inertia of 5 kg·m². What is the resulting angular acceleration?
A) 0.25 rad/s²
B) 2 rad/s²
C) 4 rad/s²
D) 100 rad/s²
✅ Answer: C
💡 Explanation: Using the rotational form of Newton's second law:
τ = Iα → α = τ/I = 20/5 = 4 rad/s²
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