Q. What is the output of the expression NOT (A AND B) when A = 0 and B = 1?
A.
0
B.
1
C.
2
D.
Undefined
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Solution
A AND B = 0 AND 1 = 0. Therefore, NOT (0) = 1.
Correct Answer: B — 1
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Q. What is the path difference for light waves from two coherent sources at an angle of 45° to the line joining them?
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Solution
Path difference = d sin θ = d sin(45°) = d(√2/2). For d = λ, path difference = √2λ.
Correct Answer: C — √2λ
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Q. What is the path difference for light waves from two coherent sources at an angle of 45° to the line joining the sources at a distance of 1 m?
A.
0.5 m
B.
0.707 m
C.
1 m
D.
0.25 m
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Solution
Path difference = d sin θ = 1 m * sin(45°) = 1 m * √2/2 = 0.707 m.
Correct Answer: B — 0.707 m
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Q. What is the path difference for the first minimum in a double-slit experiment?
A.
λ/2
B.
λ
C.
3λ/2
D.
2λ
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Solution
The path difference for the first minimum is λ/2, which leads to destructive interference.
Correct Answer: A — λ/2
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Q. What is the period of a pendulum that is 1 meter long?
A.
1 s
B.
2 s
C.
0.5 s
D.
3 s
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Solution
The period T of a simple pendulum is given by T = 2π√(L/g). For L = 1 m and g ≈ 9.8 m/s², T = 2π√(1/9.8) ≈ 2 s.
Correct Answer: B — 2 s
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Q. What is the period of a satellite in a circular orbit at a height of 300 km above the Earth's surface?
A.
90 minutes
B.
60 minutes
C.
120 minutes
D.
30 minutes
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Solution
The period of a satellite in a circular orbit at a height of 300 km is approximately 90 minutes.
Correct Answer: A — 90 minutes
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Q. What is the period of a satellite in a low Earth orbit (LEO) compared to a satellite in a geostationary orbit?
A.
Longer than a geostationary orbit
B.
Shorter than a geostationary orbit
C.
Equal to a geostationary orbit
D.
Depends on the mass of the satellite
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Solution
Satellites in low Earth orbit have a much shorter orbital period compared to geostationary satellites due to their proximity to Earth.
Correct Answer: B — Shorter than a geostationary orbit
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Q. What is the phase difference between the displacement and acceleration in simple harmonic motion?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
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Solution
In simple harmonic motion, acceleration is always opposite to displacement, hence the phase difference is 180 degrees.
Correct Answer: C — 180 degrees
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Q. What is the phase difference between the displacement and acceleration of a particle in simple harmonic motion?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
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Solution
In simple harmonic motion, the acceleration is always directed towards the mean position and is 180 degrees out of phase with the displacement.
Correct Answer: C — 180 degrees
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Q. What is the phase difference between the displacement and acceleration of a simple harmonic oscillator?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
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Solution
In simple harmonic motion, acceleration is 180 degrees out of phase with displacement.
Correct Answer: C — 180 degrees
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Q. What is the phase difference between the driving force and the displacement in a damped forced oscillator at resonance?
A.
0°
B.
90°
C.
180°
D.
270°
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Solution
At resonance, the phase difference is 90°.
Correct Answer: B — 90°
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Q. What is the phase difference between the driving force and the displacement in a forced oscillation at resonance?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
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Solution
At resonance, the phase difference between the driving force and the displacement is 0 degrees.
Correct Answer: A — 0 degrees
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Q. What is the phase difference between the driving force and the displacement in a damped oscillator at resonance?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
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Solution
At resonance, the phase difference between the driving force and the displacement is 180 degrees.
Correct Answer: C — 180 degrees
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Q. What is the phase difference between two particles in simple harmonic motion that are in the same position at the same time?
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Solution
If two particles are in the same position at the same time in simple harmonic motion, they have a phase difference of 0.
Correct Answer: A — 0
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Q. What is the phase difference between two particles in simple harmonic motion that are 90 degrees out of phase?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
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Solution
A phase difference of 90 degrees corresponds to π/2 radians.
Correct Answer: B — π/2 radians
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Q. What is the phase difference between two particles in simple harmonic motion that are in phase?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
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Solution
When two particles are in phase, they reach their maximum and minimum displacements at the same time, resulting in a phase difference of 0 radians.
Correct Answer: A — 0 radians
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Q. What is the phase difference between two particles in the same wave at a distance of λ/2?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
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Solution
The phase difference between two points in the same wave separated by a distance of λ/2 is π radians.
Correct Answer: C — π radians
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Q. What is the phase difference between two points on a wave that are 1/4 wavelength apart?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
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Solution
The phase difference Δφ between two points separated by a distance of λ/4 is given by Δφ = (2π/λ)(λ/4) = π/2 radians.
Correct Answer: B — π/2 radians
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Q. What is the phase difference between two points on a wave that are half a wavelength apart?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
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Solution
The phase difference between two points that are half a wavelength apart is π radians.
Correct Answer: C — π radians
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Q. What is the phase difference between two points on a wave that are one wavelength apart?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
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Solution
The phase difference between two points on a wave that are one wavelength apart is 2π radians.
Correct Answer: D — 2π radians
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Q. What is the phase difference between two waves that are 180° out of phase?
A.
0
B.
90°
C.
180°
D.
360°
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Solution
A phase difference of 180° corresponds to the waves being out of phase, leading to destructive interference.
Correct Answer: C — 180°
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Q. What is the phase difference between two waves that are in phase?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
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Solution
When two waves are in phase, their phase difference is 0 radians.
Correct Answer: A — 0 radians
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Q. What is the phase difference between two waves that interfere constructively?
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Solution
Constructive interference occurs when the phase difference is an integer multiple of 2π, which corresponds to a phase difference of 0.
Correct Answer: A — 0
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Q. What is the phase difference between two waves that interfere destructively?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
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Solution
Destructive interference occurs when the phase difference is π radians (or an odd multiple of π).
Correct Answer: C — π radians
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Q. What is the phenomenon called when a changing magnetic field induces an electric current in a conductor?
A.
Electromagnetic induction
B.
Electrolysis
C.
Magnetic resonance
D.
Thermal conduction
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Solution
The phenomenon of inducing an electric current in a conductor due to a changing magnetic field is known as electromagnetic induction.
Correct Answer: A — Electromagnetic induction
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Q. What is the phenomenon called when a changing magnetic field induces an electromotive force (EMF) in a conductor?
A.
Electromagnetic induction
B.
Magnetic resonance
C.
Electrolysis
D.
Magnetization
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Solution
The phenomenon of inducing an EMF in a conductor due to a changing magnetic field is known as electromagnetic induction.
Correct Answer: A — Electromagnetic induction
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Q. What is the phenomenon called when a changing magnetic field induces an electromotive force (EMF) in a circuit?
A.
Electromagnetic induction
B.
Magnetic resonance
C.
Electrolysis
D.
Magnetization
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Solution
The phenomenon is known as electromagnetic induction, as described by Faraday's law.
Correct Answer: A — Electromagnetic induction
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Q. What is the phenomenon called when a conductor moves through a magnetic field and generates an electric current?
A.
Electromagnetic induction
B.
Magnetic hysteresis
C.
Electrostatic induction
D.
Magnetic flux
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Solution
This phenomenon is known as electromagnetic induction, where a changing magnetic field induces an electric current in a conductor.
Correct Answer: A — Electromagnetic induction
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Q. What is the phenomenon called when an electron transitions from a higher energy level to a lower energy level in an atom?
A.
Ionization
B.
Excitation
C.
Emission
D.
Absorption
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Solution
When an electron transitions from a higher energy level to a lower energy level, it releases energy in the form of a photon, a process known as emission.
Correct Answer: C — Emission
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Q. What is the phenomenon called when electrons are emitted from a metal surface when it is exposed to light?
A.
Photoelectric effect
B.
Compton effect
C.
Rayleigh scattering
D.
Black body radiation
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Solution
The emission of electrons from a metal surface when exposed to light is known as the photoelectric effect.
Correct Answer: A — Photoelectric effect
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