Q. In an AC circuit, what is the relationship between voltage and current in a purely resistive load?
A.
Voltage leads current by 90 degrees
B.
Current leads voltage by 90 degrees
C.
Voltage and current are in phase
D.
Voltage and current are out of phase
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Solution
In a purely resistive AC circuit, the voltage and current are in phase, meaning they reach their maximum and minimum values at the same time.
Correct Answer:
C
— Voltage and current are in phase
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Q. In an AC circuit, what is the term for the maximum voltage?
A.
RMS voltage
B.
Peak voltage
C.
Average voltage
D.
Impedance
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Solution
The maximum voltage in an AC circuit is referred to as the peak voltage.
Correct Answer:
B
— Peak voltage
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Q. In an ideal gas, if the temperature is doubled while keeping the volume constant, what happens to the pressure?
A.
It halves
B.
It doubles
C.
It quadruples
D.
It remains the same
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Solution
According to Gay-Lussac's law, pressure is directly proportional to temperature when volume is constant. Therefore, if the temperature is doubled, the pressure also doubles.
Correct Answer:
B
— It doubles
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Q. In an ideal gas, what happens to the pressure if the volume is halved while keeping the temperature constant?
A.
Pressure doubles
B.
Pressure halves
C.
Pressure remains the same
D.
Pressure quadruples
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Solution
According to Boyle's Law, if the volume is halved at constant temperature, the pressure doubles.
Correct Answer:
A
— Pressure doubles
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Q. In an ideal gas, what is the relationship between pressure and temperature at constant volume?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
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Solution
According to Gay-Lussac's Law, pressure is directly proportional to temperature at constant volume.
Correct Answer:
A
— Directly proportional
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Q. In an ideal gas, what is the relationship between the average kinetic energy and the absolute temperature?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
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Solution
The average kinetic energy of gas molecules is directly proportional to the absolute temperature.
Correct Answer:
A
— Directly proportional
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Q. In an isothermal process, what remains constant?
A.
Pressure
B.
Volume
C.
Temperature
D.
Internal energy
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Solution
In an isothermal process, the temperature of the system remains constant.
Correct Answer:
C
— Temperature
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Q. In an RC circuit, if the capacitor is fully charged, what is the current through the circuit?
A.
Maximum current
B.
Zero current
C.
Current equals voltage
D.
Current equals resistance
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Solution
When the capacitor is fully charged, the current through the circuit is zero because the capacitor blocks any further current flow.
Correct Answer:
B
— Zero current
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Q. In an RC circuit, what happens to the current as time approaches infinity after the switch is closed?
A.
It approaches zero.
B.
It approaches the maximum value V/R.
C.
It oscillates indefinitely.
D.
It becomes negative.
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Solution
As time approaches infinity, the capacitor becomes fully charged and the current approaches the maximum value V/R, where V is the voltage and R is the resistance.
Correct Answer:
B
— It approaches the maximum value V/R.
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Q. In an RC circuit, what happens to the voltage across the capacitor as time approaches infinity after a switch is closed?
A.
It remains zero.
B.
It equals the supply voltage.
C.
It oscillates.
D.
It becomes negative.
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Solution
As time approaches infinity, the capacitor charges to the supply voltage, so the voltage across it equals the supply voltage.
Correct Answer:
B
— It equals the supply voltage.
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Q. In an RC circuit, what is the relationship between the time constant (τ) and the cutoff frequency (f_c)?
A.
f_c = 1 / (2πτ)
B.
f_c = 2πτ
C.
f_c = τ
D.
f_c = 1 / τ
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Solution
The cutoff frequency f_c is related to the time constant by the formula f_c = 1 / (2πτ).
Correct Answer:
A
— f_c = 1 / (2πτ)
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Q. In an RC circuit, what is the time constant (τ) defined as?
A.
τ = R*C
B.
τ = R+C
C.
τ = R/C
D.
τ = C/R
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Solution
The time constant τ in an RC circuit is defined as τ = R*C, where R is the resistance and C is the capacitance.
Correct Answer:
A
— τ = R*C
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Q. In an RC circuit, what is the time constant if R = 2 kΩ and C = 10 µF?
A.
20 ms
B.
2 ms
C.
200 ms
D.
0.2 s
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Solution
Time constant τ = R * C = (2000 Ω) * (10 x 10^-6 F) = 0.02 s = 20 ms.
Correct Answer:
A
— 20 ms
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Q. In an RC circuit, what is the time constant if R = 4 kΩ and C = 10 µF?
A.
40 ms
B.
20 ms
C.
30 ms
D.
50 ms
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Solution
Time constant τ = R * C = 4000 Ω * 10 x 10^-6 F = 40 ms.
Correct Answer:
A
— 40 ms
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Q. In electromagnetic induction, what does the term 'flux linkage' refer to?
A.
The product of magnetic field and area
B.
The total magnetic flux through a coil
C.
The induced emf in a circuit
D.
The resistance of the coil
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Solution
Flux linkage refers to the total magnetic flux through a coil, which is the product of the magnetic flux and the number of turns in the coil.
Correct Answer:
B
— The total magnetic flux through a coil
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Q. In nuclear fission, what is typically released along with energy?
A.
Neutrons
B.
Protons
C.
Electrons
D.
Photons
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Solution
In nuclear fission, when a heavy nucleus splits into smaller nuclei, it typically releases neutrons along with a significant amount of energy.
Correct Answer:
A
— Neutrons
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Q. In quantum mechanics, what does the Heisenberg Uncertainty Principle state?
A.
You cannot know both the position and momentum of a particle with absolute certainty.
B.
Energy and mass are interchangeable.
C.
Particles can exist in multiple states simultaneously.
D.
Light behaves only as a wave.
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Solution
The Heisenberg Uncertainty Principle asserts that there is a fundamental limit to the precision with which certain pairs of physical properties, such as position and momentum, can be known simultaneously.
Correct Answer:
A
— You cannot know both the position and momentum of a particle with absolute certainty.
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Q. In quantum mechanics, what does the wave function represent?
A.
The exact position of a particle
B.
The probability distribution of a particle's position
C.
The energy of a particle
D.
The speed of a particle
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Solution
The wave function represents the probability distribution of a particle's position, providing information about where the particle is likely to be found.
Correct Answer:
B
— The probability distribution of a particle's position
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Q. In rotational dynamics, what does the moment of inertia depend on?
A.
Mass and shape of the object
B.
Only the mass of the object
C.
Only the shape of the object
D.
Mass and velocity of the object
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Solution
The moment of inertia depends on both the mass distribution and the shape of the object relative to the axis of rotation.
Correct Answer:
A
— Mass and shape of the object
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Q. In rotational dynamics, what is the moment of inertia of a point mass m at a distance r from the axis of rotation?
A.
m * r^2
B.
m / r^2
C.
m + r^2
D.
m - r^2
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Solution
The moment of inertia I of a point mass m at a distance r from the axis of rotation is given by I = m * r^2.
Correct Answer:
A
— m * r^2
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Q. In rotational dynamics, what is the moment of inertia?
A.
The rotational analog of mass.
B.
The torque applied to an object.
C.
The angular velocity of an object.
D.
The linear momentum of an object.
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Solution
The moment of inertia is the rotational analog of mass, representing how difficult it is to change the rotational motion of an object.
Correct Answer:
A
— The rotational analog of mass.
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Q. In semiconductors, what is the effect of doping?
A.
It increases the conductivity by adding impurities.
B.
It decreases the conductivity by removing electrons.
C.
It creates a vacuum in the material.
D.
It makes the material completely non-conductive.
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Solution
Doping is the process of adding impurities to a semiconductor to increase its conductivity by creating free charge carriers.
Correct Answer:
A
— It increases the conductivity by adding impurities.
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Q. In simple harmonic motion, what is the maximum displacement from the equilibrium position called?
A.
Amplitude
B.
Frequency
C.
Period
D.
Wavelength
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Solution
The maximum displacement from the equilibrium position in simple harmonic motion is called the amplitude.
Correct Answer:
A
— Amplitude
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Q. In simple harmonic motion, what is the relationship between the displacement and the restoring force?
A.
Directly proportional
B.
Inversely proportional
C.
Independent
D.
Constant
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Solution
In simple harmonic motion, the restoring force is directly proportional to the displacement and acts in the opposite direction.
Correct Answer:
A
— Directly proportional
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Q. In simple harmonic motion, what type of energy is at its maximum when the displacement is at its maximum?
A.
Kinetic energy
B.
Potential energy
C.
Total energy
D.
Mechanical energy
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Solution
At maximum displacement, the potential energy is at its maximum while kinetic energy is zero.
Correct Answer:
B
— Potential energy
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Q. In terms of stability, what is the effect of lowering the center of mass of a rolling object?
A.
Increases stability
B.
Decreases stability
C.
No effect on stability
D.
Depends on the object's shape
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Solution
Lowering the center of mass of a rolling object increases its stability, making it less likely to tip over.
Correct Answer:
A
— Increases stability
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Q. In the Doppler effect, what happens to the frequency of a sound wave as the source moves towards the observer?
A.
It decreases
B.
It remains the same
C.
It increases
D.
It becomes zero
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Solution
As the source moves towards the observer, the waves are compressed, leading to an increase in frequency.
Correct Answer:
C
— It increases
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Q. In the kinetic theory of gases, which of the following assumptions is NOT true?
A.
Gas molecules are in constant random motion
B.
Gas molecules occupy a negligible volume
C.
Gas molecules experience no intermolecular forces
D.
Gas molecules have significant mass
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Solution
In the kinetic theory of gases, it is assumed that gas molecules occupy a negligible volume and have negligible mass compared to the volume they occupy.
Correct Answer:
D
— Gas molecules have significant mass
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Q. In the kinetic theory, what is assumed about the collisions between gas molecules?
A.
They are perfectly elastic
B.
They are perfectly inelastic
C.
They lose energy
D.
They are not considered
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Solution
In the kinetic theory of gases, it is assumed that collisions between gas molecules are perfectly elastic, meaning they conserve kinetic energy.
Correct Answer:
A
— They are perfectly elastic
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Q. In the photoelectric effect, what happens when light of sufficient frequency hits a metal surface?
A.
Electrons are emitted from the surface
B.
Photons are absorbed by the metal
C.
The metal becomes ionized
D.
Heat is generated in the metal
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Solution
When light of sufficient frequency hits a metal surface, it can provide enough energy to eject electrons from the metal.
Correct Answer:
A
— Electrons are emitted from the surface
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