Major Competitive Exams

Q. What is the relationship between the intensity of light and the energy of individual photons in the photoelectric effect?
  • A. Directly proportional
  • B. Inversely proportional
  • C. Independent
  • D. Depends on frequency
Q. What is the relationship between the magnetic field and the distance from a long straight wire carrying current?
  • A. Directly proportional
  • B. Inversely proportional
  • C. Independent
  • D. Exponential
Q. What is the relationship between the magnetic field and the enclosed current according to Ampere's Law?
  • A. B is proportional to the square of the current
  • B. B is inversely proportional to the current
  • C. B is directly proportional to the current
  • D. B is independent of the current
Q. What is the relationship between the mean free path (λ) and the diameter (d) of gas molecules?
  • A. λ ∝ d^2
  • B. λ ∝ 1/d
  • C. λ ∝ d
  • D. λ ∝ d^3
Q. What is the relationship between the mean free path and the density of gas molecules?
  • A. Mean free path increases with density
  • B. Mean free path decreases with density
  • C. Mean free path is independent of density
  • D. Mean free path is proportional to the square of density
Q. What is the relationship between the mean free path and the diameter of gas molecules?
  • A. Mean free path is independent of diameter
  • B. Mean free path is directly proportional to diameter
  • C. Mean free path is inversely proportional to diameter
  • D. Mean free path is equal to diameter
Q. What is the relationship between the molality of a solution and its boiling point elevation?
  • A. Directly proportional
  • B. Inversely proportional
  • C. No relationship
  • D. Exponential relationship
Q. What is the relationship between the number of emitted electrons and the intensity of light in the photoelectric effect?
  • A. Directly proportional
  • B. Inversely proportional
  • C. No relationship
  • D. Exponential relationship
Q. What is the relationship between the number of slits in a diffraction grating and the sharpness of the maxima?
  • A. More slits, sharper maxima
  • B. More slits, broader maxima
  • C. No relationship
  • D. Fewer slits, sharper maxima
Q. What is the relationship between the number of turns in the primary and secondary coils of a transformer and the voltages across them? (2023)
  • A. V_p/V_s = N_p/N_s
  • B. V_p/V_s = N_s/N_p
  • C. V_p = V_s
  • D. V_p + V_s = 0
Q. What is the relationship between the orbital radius and the period of a satellite in a circular orbit?
  • A. T is directly proportional to r
  • B. T is inversely proportional to r
  • C. T is proportional to r^2
  • D. T is proportional to √r
Q. What is the relationship between the orbital radius and the time period of a satellite?
  • A. T ∝ r^2
  • B. T ∝ r^3/2
  • C. T ∝ r
  • D. T ∝ r^1/2
Q. What is the relationship between the period and frequency of a simple harmonic oscillator?
  • A. T = f
  • B. T = 1/f
  • C. T = f^2
  • D. T = 2f
Q. What is the relationship between the period of a satellite and its orbital radius?
  • A. T is directly proportional to r
  • B. T is inversely proportional to r
  • C. T is proportional to r^2
  • D. T is proportional to √r
Q. What is the relationship between the period of a simple harmonic oscillator and its mass and spring constant?
  • A. T = 2π√(m/k)
  • B. T = 2π√(k/m)
  • C. T = m/k
  • D. T = k/m
Q. What is the relationship between the potential energy and kinetic energy in simple harmonic motion at maximum displacement?
  • A. PE = KE
  • B. PE > KE
  • C. PE < KE
  • D. PE = 0
Q. What is the relationship between the pressure and volume of a gas at constant temperature according to the kinetic theory?
  • A. Pressure is directly proportional to volume.
  • B. Pressure is inversely proportional to volume.
  • C. Pressure is independent of volume.
  • D. Pressure is proportional to the square of the volume.
Q. What is the relationship between the pressure and volume of an ideal gas at constant temperature?
  • A. Directly proportional
  • B. Inversely proportional
  • C. Independent
  • D. Exponential
Q. What is the relationship between the principal quantum number (n) and the energy of an electron in a hydrogen atom?
  • A. Energy increases with increasing n
  • B. Energy decreases with increasing n
  • C. Energy is independent of n
  • D. Energy is maximum at n=1
Q. What is the relationship between the radius and the chord length in a circle?
  • A. Chords are always longer than the radius.
  • B. Chords can be equal to the radius.
  • C. Chords can be shorter than the radius.
  • D. All of the above.
Q. What is the relationship between the radius and the diameter of a circle?
  • A. The radius is half of the diameter.
  • B. The diameter is half of the radius.
  • C. The radius and diameter are equal.
  • D. The diameter is the sum of two radii.
Q. What is the relationship between the rate of reaction and temperature according to the Arrhenius equation? (2022)
  • A. Inversely proportional
  • B. Directly proportional
  • C. Exponential
  • D. Linear
Q. What is the relationship between the RMS and average value of a sinusoidal AC current? (2023)
  • A. RMS = Average
  • B. RMS = Average × √2
  • C. RMS = Average / √2
  • D. RMS = Average × 2
Q. What is the relationship between the root mean square speed of gas molecules and the temperature of the gas?
  • A. It is independent of temperature.
  • B. It is directly proportional to the square root of temperature.
  • C. It is inversely proportional to temperature.
  • D. It is directly proportional to temperature.
Q. What is the relationship between the slit separation and the angle of diffraction in a double-slit experiment?
  • A. Directly proportional
  • B. Inversely proportional
  • C. No relationship
  • D. Quadratic relationship
Q. What is the relationship between the slit width and the angle of diffraction in a single-slit experiment?
  • A. Directly proportional
  • B. Inversely proportional
  • C. No relationship
  • D. Exponential relationship
Q. What is the relationship between the slit width and the angular position of the first minimum in single-slit diffraction?
  • A. Directly proportional
  • B. Inversely proportional
  • C. No relationship
  • D. Exponential relationship
Q. What is the relationship between the slit width and the angular width of the central maximum in single-slit diffraction?
  • A. Directly proportional
  • B. Inversely proportional
  • C. Independent
  • D. Exponential
Q. What is the relationship between the speed of gas molecules and temperature?
  • A. Directly proportional
  • B. Inversely proportional
  • C. No relationship
  • D. Exponential relationship
Q. What is the relationship between the stopping potential and the maximum kinetic energy of the emitted electrons in the photoelectric effect?
  • A. Stopping potential is directly proportional to the work function
  • B. Stopping potential is inversely proportional to the maximum kinetic energy
  • C. Stopping potential is equal to the maximum kinetic energy
  • D. Stopping potential has no relation to the photoelectric effect
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