Q. What is the relationship between the frequency and the period of a wave? (2021)
A.
Frequency is the square of the period
B.
Period is the reciprocal of frequency
C.
Frequency and period are unrelated
D.
Period is the square root of frequency
Show solution
Solution
The period T is the reciprocal of frequency f, given by T = 1/f.
Correct Answer:
B
— Period is the reciprocal of frequency
Learn More →
Q. What is the relationship between the frequency and wavelength of a wave?
A.
Frequency = Wavelength × Speed
B.
Wavelength = Speed / Frequency
C.
Speed = Frequency × Wavelength
D.
All of the above
Show solution
Solution
The relationship is given by the equation Speed = Frequency × Wavelength, which can be rearranged to show the other relationships.
Correct Answer:
D
— All of the above
Learn More →
Q. What is the relationship between the frequency of incident light and the number of emitted electrons in the photoelectric effect?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
Show solution
Solution
The number of emitted electrons is related to the intensity of light, not the frequency, as long as the frequency is above the threshold.
Correct Answer:
C
— No relationship
Learn More →
Q. What is the relationship between the Gibbs free energy change (ΔG) and the equilibrium constant (K)?
A.
ΔG = -RT ln(K)
B.
ΔG = RT ln(K)
C.
ΔG = K - RT
D.
ΔG = 0 at equilibrium
Show solution
Solution
The relationship is given by the equation 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 the Gibbs free energy change (ΔG) and the equilibrium constant (K) at standard conditions?
A.
ΔG = RT ln K
B.
ΔG = -RT ln K
C.
ΔG = KRT
D.
ΔG = K/R
Show solution
Solution
ΔG = -RT ln K relates Gibbs free energy change to the equilibrium constant.
Correct Answer:
B
— ΔG = -RT ln K
Learn More →
Q. What is the relationship between the harmonic mean and the terms of a harmonic progression?
A.
It is the average of the terms.
B.
It is the reciprocal of the arithmetic mean of the reciprocals.
C.
It is the sum of the terms.
D.
It is the product of the terms.
Show solution
Solution
The harmonic mean of a set of numbers is the reciprocal of the arithmetic mean of their reciprocals.
Correct Answer:
B
— It is the reciprocal of the arithmetic mean of the reciprocals.
Learn More →
Q. What is the relationship between the height of a satellite and its orbital period?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
Show solution
Solution
The orbital period T of a satellite is related to its height h by T ∝ h^(3/2), which indicates that the period is inversely proportional to the square root of the gravitational force acting on it.
Correct Answer:
B
— Inversely proportional
Learn More →
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
Show solution
Solution
The energy of individual photons is dependent on frequency (E = hν) and not on intensity.
Correct Answer:
C
— Independent
Learn More →
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
Show solution
Solution
The magnetic field around a long straight wire is inversely proportional to the distance from the wire, as given by B = μ₀I/2πr.
Correct Answer:
B
— Inversely proportional
Learn More →
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
Show solution
Solution
According to Ampere's Law, the magnetic field B is directly proportional to the enclosed current.
Correct Answer:
C
— B is directly proportional to the current
Learn More →
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
Show solution
Solution
The mean free path (λ) is inversely proportional to the diameter (d) of the gas molecules, meaning λ ∝ 1/d.
Correct Answer:
B
— λ ∝ 1/d
Learn More →
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
Show solution
Solution
The mean free path is inversely proportional to the density of gas molecules. As density increases, the mean free path decreases due to more frequent collisions.
Correct Answer:
B
— Mean free path decreases with density
Learn More →
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
Show solution
Solution
The mean free path is inversely proportional to the diameter of gas molecules; as the diameter increases, the mean free path decreases.
Correct Answer:
C
— Mean free path is inversely proportional to diameter
Learn More →
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
Show solution
Solution
Boiling point elevation is directly proportional to the molality of the solution.
Correct Answer:
A
— Directly proportional
Learn More →
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
Show solution
Solution
The number of emitted electrons is directly proportional to the intensity of light, provided the frequency is above the threshold frequency.
Correct Answer:
A
— Directly proportional
Learn More →
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
Show solution
Solution
Increasing the number of slits in a diffraction grating results in sharper maxima due to increased constructive interference.
Correct Answer:
A
— More slits, sharper maxima
Learn More →
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
Show solution
Solution
The relationship is given by V_p/V_s = N_p/N_s, where V is voltage and N is the number of turns.
Correct Answer:
A
— V_p/V_s = N_p/N_s
Learn More →
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
Show solution
Solution
The period T of a satellite is proportional to the square root of the orbital radius r (T ∝ √r).
Correct Answer:
D
— T is proportional to √r
Learn More →
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
Show solution
Solution
The time period T of a satellite is related to the orbital radius r by T ∝ r^(3/2), according to Kepler's third law.
Correct Answer:
B
— T ∝ r^3/2
Learn More →
Q. What is the relationship between the paragraphs in the passage?
A.
They present conflicting viewpoints.
B.
They build upon each other to develop a single argument.
C.
They are unrelated and stand alone.
D.
They summarize different case studies.
Show solution
Solution
The paragraphs build upon each other to develop a single argument regarding the role of technology in education.
Correct Answer:
B
— They build upon each other to develop a single argument.
Learn More →
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
Show solution
Solution
The period (T) is the reciprocal of frequency (f), so T = 1/f.
Correct Answer:
B
— T = 1/f
Learn More →
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 radius and the area of a circle? (2022)
A.
Area is directly proportional to the radius.
B.
Area is inversely proportional to the radius.
C.
Area is proportional to the square of the radius.
D.
Area is independent of the radius.
Show solution
Solution
The area of a circle is given by A = πr², indicating that area is proportional to the square of the radius.
Correct Answer:
C
— Area is proportional to the square of the radius.
Learn More →
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.
Show solution
Solution
Chords can vary in length and can be longer, equal to, or shorter than the radius.
Correct Answer:
D
— All of the above.
Learn More →
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.
Show solution
Solution
The radius is defined as half of the diameter.
Correct Answer:
A
— The radius is half of the diameter.
Learn More →
Showing 20881 to 20910 of 28492 (950 Pages)