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
Show solution
Solution
The period T of a satellite is proportional to the square root of the orbital radius r, as given by T = 2π√(r^3/GM).
Correct Answer: D — T is proportional to √r
Learn More →
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
Show solution
Solution
The period T of a mass-spring system is given by T = 2π√(m/k).
Correct Answer: A — T = 2π√(m/k)
Learn More →
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
Show solution
Solution
At maximum displacement, all energy is potential energy (PE), and kinetic energy (KE) is zero.
Correct Answer: B — PE > KE
Learn More →
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.
Show solution
Solution
According to Boyle's Law, which is derived from the kinetic theory, pressure is inversely proportional to volume at constant temperature.
Correct Answer: B — Pressure is inversely proportional to volume.
Learn More →
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
Show solution
Solution
According to Boyle's law, the pressure and volume of an ideal gas at constant temperature are inversely proportional (PV = constant).
Correct Answer: B — Inversely proportional
Learn More →
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
Show solution
Solution
In a hydrogen atom, the energy of an electron increases with increasing principal quantum number (n).
Correct Answer: A — Energy increases with increasing n
Learn More →
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.
Show solution
Solution
The root mean square speed of gas molecules is directly proportional to the square root of the absolute temperature of the gas.
Correct Answer: B — It is directly proportional to the square root of temperature.
Learn More →
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
Show solution
Solution
The angle of diffraction is inversely proportional to the slit separation; as the slit separation increases, the angle decreases.
Correct Answer: B — Inversely proportional
Learn More →
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
Show solution
Solution
The angle of diffraction is inversely proportional to the slit width; as the slit width decreases, the angle increases.
Correct Answer: B — Inversely proportional
Learn More →
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
Show solution
Solution
The angular position of the first minimum is inversely proportional to the slit width; as the slit width decreases, the angle increases.
Correct Answer: B — Inversely proportional
Learn More →
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
Show solution
Solution
The angular width of the central maximum is inversely proportional to the slit width; as the slit width increases, the angular width decreases.
Correct Answer: B — Inversely proportional
Learn More →
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
Show solution
Solution
The average speed of gas molecules is directly proportional to the square root of the absolute temperature.
Correct Answer: A — Directly proportional
Learn More →
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
Show solution
Solution
The stopping potential (V) is related to the maximum kinetic energy (KE) of the emitted electrons by the equation KE = eV, where e is the charge of the electron.
Correct Answer: C — Stopping potential is equal to the maximum kinetic energy
Learn More →
Q. What is the relationship between the stopping potential and the maximum kinetic energy of emitted electrons in the photoelectric effect?
A.
Stopping potential is directly proportional to the work function
B.
Stopping potential is directly proportional to the maximum kinetic energy
C.
Stopping potential is inversely proportional to the frequency
D.
Stopping potential has no relation to kinetic energy
Show solution
Solution
The stopping potential (V) is directly proportional to the maximum kinetic energy (KE) of the emitted electrons, given by the equation KE = eV, where e is the charge of the electron.
Correct Answer: B — Stopping potential is directly proportional to the maximum kinetic energy
Learn More →
Q. What is the relationship between the units of energy and work?
A.
They are the same
B.
Energy is greater than work
C.
Work is greater than energy
D.
They are different
Show solution
Solution
Energy and work are measured in the same unit, which is Joules (J).
Correct Answer: A — They are the same
Learn More →
Q. What is the relationship between the units of work and energy?
A.
They are the same
B.
Work is a subset of energy
C.
Energy is a subset of work
D.
They are unrelated
Show solution
Solution
Work and energy are measured in the same unit, which is Joules (J) in the SI system.
Correct Answer: A — They are the same
Learn More →
Q. What is the relationship between the wavelength and frequency of a wave?
A.
Wavelength is directly proportional to frequency
B.
Wavelength is inversely proportional to frequency
C.
Wavelength is equal to frequency
D.
Wavelength and frequency are unrelated
Show solution
Solution
The relationship is given by the equation v = fλ, where v is the wave speed, f is the frequency, and λ is the wavelength. Thus, wavelength is inversely proportional to frequency.
Correct Answer: B — Wavelength is inversely proportional to frequency
Learn More →
Q. What is the relationship between the wavelength of light and the angle of diffraction in a diffraction grating?
A.
Longer wavelengths diffract less
B.
Longer wavelengths diffract more
C.
Wavelength has no effect
D.
Only the slit width matters
Show solution
Solution
Longer wavelengths diffract more, leading to larger angles of diffraction in a diffraction grating.
Correct Answer: B — Longer wavelengths diffract more
Learn More →
Q. What is the relationship between the wavelength of light and the energy of the emitted electrons in the photoelectric effect?
A.
Energy is directly proportional to wavelength
B.
Energy is inversely proportional to wavelength
C.
Energy is independent of wavelength
D.
Energy is proportional to the square of wavelength
Show solution
Solution
The energy of the emitted electrons is inversely proportional to the wavelength of the incident light, as given by E = hc/λ.
Correct Answer: B — Energy is inversely proportional to wavelength
Learn More →
Q. What is the relationship between the width of the central maximum and the wavelength in a single-slit diffraction pattern?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
Show solution
Solution
The width of the central maximum is inversely proportional to the slit width and directly proportional to the wavelength.
Correct Answer: B — Inversely proportional
Learn More →
Q. What is the relationship between the work function and the threshold frequency?
A.
Φ = hν₀
B.
Φ = ν₀/h
C.
Φ = h/ν₀
D.
Φ = ν₀²/h
Show solution
Solution
The work function (Φ) is directly proportional to the threshold frequency (ν₀) as Φ = hν₀.
Correct Answer: A — Φ = hν₀
Learn More →
Q. What is the relationship between torque (τ), moment of inertia (I), and angular acceleration (α)?
A.
τ = Iα
B.
τ = α/I
C.
τ = I/α
D.
τ = I + α
Show solution
Solution
The relationship is given by τ = Iα, where τ is torque, I is moment of inertia, and α is angular acceleration.
Correct Answer: A — τ = Iα
Learn More →
Q. What is the relationship between voltage, current, and resistance according to Ohm's Law?
A.
V = I * R
B.
V = I / R
C.
V = R / I
D.
V = I + R
Show solution
Solution
Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with resistance (R) as the proportionality constant: V = I * R.
Correct Answer: A — V = I * R
Learn More →
Q. What is the relationship between voltage, current, and resistance in a circuit according to Ohm's Law?
A.
V = I + R
B.
V = I - R
C.
V = I * R
D.
V = I / R
Show solution
Solution
According to Ohm's Law, the relationship is given by V = I * R.
Correct Answer: C — V = I * R
Learn More →
Q. What is the relationship between voltage, current, and resistance in an electrical circuit?
A.
Ohm's Law
B.
Kirchhoff's Law
C.
Faraday's Law
D.
Ampere's Law
Show solution
Solution
Ohm's Law describes the relationship between voltage (V), current (I), and resistance (R) as V = IR.
Correct Answer: A — Ohm's Law
Learn More →
Q. What is the relationship between ΔG and equilibrium constant K?
A.
ΔG = -RT ln K
B.
ΔG = RT ln K
C.
ΔG = KRT
D.
ΔG = K/R
Show solution
Solution
The relationship is given by ΔG = -RT ln K, where R is the gas constant and T is temperature.
Correct Answer: A — ΔG = -RT ln K
Learn More →
Q. What is the relationship between ΔG and the equilibrium constant (K)?
A.
ΔG = -RT ln(K)
B.
ΔG = RT ln(K)
C.
ΔG = KRT
D.
ΔG = K - RT
Show solution
Solution
The relationship is given by ΔG = -RT ln(K), where R is the gas constant and T is the temperature in Kelvin.
Correct Answer: A — ΔG = -RT ln(K)
Learn More →
Q. What is the relationship between ΔG, ΔH, and ΔS at constant temperature?
A.
ΔG = ΔH + TΔS
B.
ΔG = ΔH - TΔS
C.
ΔG = TΔS - ΔH
D.
ΔG = ΔH/ΔS
Show solution
Solution
The relationship is given by the equation ΔG = ΔH - TΔS, where T is the temperature in Kelvin.
Correct Answer: B — ΔG = ΔH - TΔS
Learn More →
Q. What is the relationship between ΔH and ΔG at equilibrium?
A.
ΔG = 0
B.
ΔH = 0
C.
ΔG = ΔH
D.
ΔG = ΔH + TΔS
Show solution
Solution
At equilibrium, the change in Gibbs free energy (ΔG) is zero.
Correct Answer: A — ΔG = 0
Learn More →
Q. What is the relationship between ΔH and ΔU for a reaction at constant pressure?
A.
ΔH = ΔU + PΔV
B.
ΔH = ΔU - PΔV
C.
ΔH = ΔU
D.
ΔH = PΔV
Show solution
Solution
At constant pressure, the relationship is given by ΔH = ΔU + PΔV.
Correct Answer: A — ΔH = ΔU + PΔV
Learn More →
Showing 8131 to 8160 of 10700 (357 Pages)