Major Competitive Exams

Q. What is the relationship between electric field E and surface charge density σ on a conductor?
  • A. E = σ/ε₀
  • B. E = σ/2ε₀
  • C. E = 2σ/ε₀
  • D. E = σ/4ε₀
Q. What is the relationship between electric potential (V) and electric field (E) in a uniform field?
  • A. V = E × d
  • B. V = E/d
  • C. E = V × d
  • D. E = V/d
Q. What is the relationship between electric potential and electric field?
  • A. E = -dV/dx
  • B. E = dV/dx
  • C. E = V/d
  • D. E = -V/d
Q. What is the relationship between enthalpy (H), internal energy (U), and pressure-volume work (PV)?
  • A. H = U + PV
  • B. H = U - PV
  • C. H = U * PV
  • D. H = U / PV
Q. What is the relationship between enthalpy (H), internal energy (U), pressure (P), and volume (V)?
  • A. H = U + PV
  • B. H = U - PV
  • C. H = U + P/V
  • D. H = U - P/V
Q. What is the relationship between enthalpy and internal energy?
  • A. H = U + PV
  • B. H = U - PV
  • C. H = U * PV
  • D. H = U / PV
Q. What is the relationship between enthalpy change and internal energy change at constant pressure?
  • A. ΔH = ΔU + PΔV
  • B. ΔH = ΔU - PΔV
  • C. ΔH = ΔU
  • D. ΔH = PΔV
Q. What is the relationship between entropy and spontaneity of a process?
  • A. Higher entropy means the process is non-spontaneous.
  • B. Lower entropy means the process is spontaneous.
  • C. Higher entropy generally indicates a spontaneous process.
  • D. Entropy has no relation to spontaneity.
Q. What is the relationship between entropy and temperature?
  • A. Entropy increases with decreasing temperature
  • B. Entropy decreases with increasing temperature
  • C. Entropy increases with increasing temperature
  • D. Entropy is independent of temperature
Q. What is the relationship between frequency (f) and period (T) of a wave? (2023)
  • A. f = T
  • B. f = 1/T
  • C. f = T^2
  • D. f = 2πT
Q. What is the relationship between frequency and period of a wave? (2020)
  • A. Frequency = Period × Speed
  • B. Frequency = 1/Period
  • C. Frequency = Speed × Wavelength
  • D. Frequency = Wavelength/Speed
Q. What is the relationship between frequency and wavelength in a wave traveling at a constant speed?
  • A. Directly proportional
  • B. Inversely proportional
  • C. Independent
  • D. None of the above
Q. What is the relationship between frequency and wavelength in a wave?
  • A. Frequency is directly proportional to wavelength
  • B. Frequency is inversely proportional to wavelength
  • C. Frequency is independent of wavelength
  • D. Frequency equals wavelength
Q. What is the relationship between Gibbs free energy (ΔG) and cell potential (E) in electrochemistry?
  • A. ΔG = -nFE
  • B. ΔG = nFE
  • C. ΔG = -E/nF
  • D. ΔG = E/nF
Q. What is the relationship between Gibbs Free Energy and spontaneity?
  • A. ΔG < 0 indicates non-spontaneous reactions.
  • B. ΔG = 0 indicates spontaneous reactions.
  • C. ΔG > 0 indicates spontaneous reactions.
  • D. ΔG < 0 indicates spontaneous reactions.
Q. What is the relationship between Gibbs Free Energy and the equilibrium constant (K)?
  • A. ΔG = -RT ln(K)
  • B. ΔG = RT ln(K)
  • C. ΔG = KRT
  • D. ΔG = K - RT
Q. What is the relationship between gravitational field strength and gravitational potential?
  • A. Field strength is the gradient of potential.
  • B. Field strength is the integral of potential.
  • C. They are independent.
  • D. Field strength is the square of potential.
Q. What is the relationship between gravitational potential and gravitational field strength?
  • A. V = -g * r
  • B. g = -dV/dr
  • C. V = g * r
  • D. g = dV/dr
Q. What is the relationship between heat capacity at constant pressure (Cp) and heat capacity at constant volume (Cv)?
  • A. Cp = Cv
  • B. Cp > Cv
  • C. Cp < Cv
  • D. Cp = Cv + R
Q. What is the relationship between heat capacity at constant pressure (C_p) and at constant volume (C_v)?
  • A. C_p = C_v
  • B. C_p > C_v
  • C. C_p < C_v
  • D. C_p = 0
Q. What is the relationship between heat capacity at constant pressure (C_p) and heat capacity at constant volume (C_v)?
  • A. C_p = C_v
  • B. C_p > C_v
  • C. C_p < C_v
  • D. C_p = 2C_v
Q. What is the relationship between heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp) for an ideal gas?
  • A. Cp = Cv
  • B. Cp = Cv + R
  • C. Cp = Cv - R
  • D. Cp = 2Cv
Q. What is the relationship between heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp)?
  • A. Cp = Cv
  • B. Cp = Cv + R
  • C. Cp = Cv - R
  • D. Cp = 2Cv
Q. What is the relationship between Joules and Newton-meters?
  • A. They are equal
  • B. Joule is greater
  • C. Newton-meter is greater
  • D. They are unrelated
Q. What is the relationship between Ka and Kb for a conjugate acid-base pair?
  • A. Ka + Kb = Kw
  • B. Ka * Kb = Kw
  • C. Ka - Kb = Kw
  • D. Ka / Kb = Kw
Q. What is the relationship between Kp and Kc for the reaction aA(g) + bB(g) ⇌ cC(g) + dD(g)?
  • A. Kp = Kc(RT)^(d+c-b-a)
  • B. Kp = Kc(RT)^(a+b-c-d)
  • C. Kp = Kc/(RT)^(d+c-b-a)
  • D. Kp = Kc/(RT)^(a+b-c-d)
Q. What is the relationship between linear velocity (v) and angular velocity (ω) for a point on a rotating object?
  • A. v = ωr
  • B. v = r/ω
  • C. v = ω/r
  • D. v = rω²
Q. What is the relationship between mass and weight?
  • A. Weight = Mass × Acceleration due to gravity
  • B. Weight = Mass / Acceleration due to gravity
  • C. Weight = Mass + Acceleration due to gravity
  • D. Weight = Mass - Acceleration due to gravity
Q. What is the relationship between pKa and Ka for a weak acid?
  • A. pKa = -log(Ka)
  • B. pKa = log(Ka)
  • C. pKa = Ka
  • D. pKa = 1/Ka
Q. What is the relationship between pKa and Ka for an acid?
  • A. pKa = -log(Ka)
  • B. pKa = log(Ka)
  • C. pKa = Ka
  • D. pKa = 1/Ka
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