Major Competitive Exams

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Q. What is the formula for the average power consumed in an AC circuit with a phase angle φ? (2020)
  • A. P = VI
  • B. P = VI cos(φ)
  • C. P = VI sin(φ)
  • D. P = V²/R
Q. What is the formula for the average power consumed in an AC circuit with a resistor? (2019)
  • A. P = VI
  • B. P = V²/R
  • C. P = I²R
  • D. All of the above
Q. What is the formula for the capacitance of a parallel plate capacitor?
  • A. C = εA/d
  • B. C = A/εd
  • C. C = d/εA
  • D. C = εd/A
Q. What is the formula for the complex formed between iron(III) and thiocyanate? (2021)
  • A. [Fe(SCN)3]
  • B. [Fe(SCN)2]
  • C. [Fe(SCN)6]3+
  • D. [Fe(SCN)4]2-
Q. What is the formula for the complex formed when silver ion reacts with ammonia?
  • A. Ag(NH3)2+
  • B. Ag(NH3)2Cl
  • C. Ag(NH3)3+
  • D. Ag(NH3)4+
Q. What is the formula for the equivalent resistance in a balanced Wheatstone bridge?
  • A. R_eq = (P + Q)
  • B.
  • C. (R + S)
  • D. R_eq = P + Q + R + S
  • . R_eq = P
  • .
  • . Q + R
  • .
  • . S
  • . R_eq = (P*R)/(Q + S)
Q. What is the formula for the equivalent resistance of two resistors R1 and R2 in series?
  • A. R_eq = R1 + R2
  • B. R_eq = R1 * R2 / (R1 + R2)
  • C. R_eq = R1 - R2
  • D. R_eq = R1 / R2
Q. What is the formula for the equivalent resistance of two resistors R1 and R2 in series in a Wheatstone bridge?
  • A. R1 + R2
  • B. R1 * R2 / (R1 + R2)
  • C. R1 - R2
  • D. 1/(1/R1 + 1/R2)
Q. What is the formula for the force experienced by a charged particle moving in a magnetic field?
  • A. F = qvB sin(θ)
  • B. F = qvB cos(θ)
  • C. F = qB
  • D. F = qE
Q. What is the formula for the fringe separation in a double-slit experiment?
  • A. λD/d
  • B. d/λD
  • C. D/λd
  • D. λd/D
Q. What is the formula for the fringe width in a double-slit experiment?
  • A. λD/d
  • B. d/λD
  • C. D/λd
  • D. λd/D
Q. What is the formula for the inductive reactance (X_L) in an AC circuit? (2022)
  • A. X_L = 2πfL
  • B. X_L = R/L
  • C. X_L = 1/(2πfC)
  • D. X_L = V/I
Q. What is the formula for the magnetic field (B) inside a solenoid?
  • A. B = μ₀(nI)
  • B. B = μ₀I
  • C. B = μ₀(nI)/L
  • D. B = μ₀I²
Q. What is the formula for the magnetic field at the center of a circular loop of radius r carrying a current I? (2023)
  • A. B = μ₀I/2r
  • B. B = μ₀I/r
  • C. B = μ₀I/4r
  • D. B = μ₀I/πr
Q. What is the formula for the magnetic force experienced by a charged particle moving in a magnetic field?
  • A. F = qE
  • B. F = qvBsin(θ)
  • C. F = mv^2/r
  • D. F = BIL
Q. What is the formula for the magnetic force on a charge q moving with velocity v in a magnetic field B?
  • A. F = qvB
  • B. F = qvBsinθ
  • C. F = qB
  • D. F = qvBcosθ
Q. What is the formula for the magnetic force on a charged particle moving in a magnetic field?
  • A. F = qE
  • B. F = qvBsinθ
  • C. F = mv^2/r
  • D. F = qvE
Q. What is the formula for the modulus of resilience?
  • A. U = 1/2 * σ * ε
  • B. U = σ * ε
  • C. U = 1/2 * ε^2
  • D. U = σ^2 / 2
Q. What is the formula for the resonant frequency of an RLC circuit? (2021)
  • A. f = 1/(2π√(LC))
  • B. f = R/(2πL)
  • C. f = 1/(2πRC)
  • D. f = 2π√(LC)
Q. What is the formula for the total impedance in a parallel RLC circuit? (2023)
  • A. 1/Z = 1/Z1 + 1/Z2 + 1/Z3
  • B. Z = R + jX
  • C. Z = R
  • D.
  • . X
  • . Z = R + jωL - j/(ωC)
Q. What is the formula for the total impedance in a series RLC circuit? (2023)
  • A. Z = R + j(XL - XC)
  • B. Z = R + jXL + jXC
  • C. Z = R + jωL
  • D. Z = R + jωC
Q. What is the formula for the total power in a series RLC circuit?
  • A. P = VI
  • B. P = I^2R
  • C. P = V^2/R
  • D. P = VI cos(φ)
Q. What is the formula for Young's modulus?
  • A. Stress/Strain
  • B. Strain/Stress
  • C. Force/Area
  • D. Area/Force
Q. What is the formula of the compound formed between magnesium and chlorine?
  • A. MgCl
  • B. MgCl2
  • C. Mg2Cl
  • D. Mg2Cl2
Q. What is the formula of the compound formed when magnesium reacts with oxygen?
  • A. MgO
  • B. Mg2O3
  • C. MgO2
  • D. Mg3O2
Q. What is the freezing point depression constant (Kf) for water?
  • A. 1.86 °C kg/mol
  • B. 0.52 °C kg/mol
  • C. 2.00 °C kg/mol
  • D. 3.72 °C kg/mol
Q. What is the freezing point depression of a solution containing 1 mol of NaCl in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2023)
  • A. 1.86 °C
  • B. 3.72 °C
  • C. 2.00 °C
  • D. 0.93 °C
Q. What is the freezing point depression of a solution containing 1 mole of NaCl in 1 kg of water? (2022)
  • A. 1.86 °C
  • B. 3.72 °C
  • C. 2.52 °C
  • D. 0.93 °C
Q. What is the freezing point depression of a solution containing 1 mole of solute in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2020)
  • A. 1.86 °C
  • B. 3.72 °C
  • C. 0.93 °C
  • D. 2.78 °C
Q. What is the freezing point depression of a solution containing 2 moles of KCl in 1 kg of water? (Kf for water = 1.86 °C kg/mol)
  • A. 3.72 °C
  • B. 1.86 °C
  • C. 2.0 °C
  • D. 5.58 °C
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