Q. What is the pH value of a neutral solution? (2020)
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Solution
A neutral solution has a pH value of 7, which is neither acidic nor basic.
Correct Answer: B — 7
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Q. What is the phase angle in a circuit with a resistance of 30 ohms and a reactance of 40 ohms? (2021)
A.
53.13°
B.
36.87°
C.
45°
D.
60°
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Solution
θ = tan⁻¹(X/R) = tan⁻¹(40/30) = 53.13°.
Correct Answer: A — 53.13°
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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 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 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 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 the voltage and current in a purely resistive AC circuit? (2021)
A.
0°
B.
45°
C.
90°
D.
180°
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Solution
In a purely resistive circuit, the voltage and current are in phase, so the phase difference is 0°.
Correct Answer: A — 0°
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Q. What is the phase difference between the voltage and current in a resistive AC circuit? (2021)
A.
0°
B.
45°
C.
90°
D.
180°
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Solution
In a purely resistive circuit, the voltage and current are in phase, so the phase difference is 0°.
Correct Answer: A — 0°
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Q. What is the phase difference between the voltage and current in a series RLC circuit at resonance? (2023)
A.
0°
B.
90°
C.
180°
D.
45°
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Solution
At resonance in a series RLC circuit, the phase difference between voltage and current is 0°.
Correct Answer: A — 0°
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Q. What is the phase difference between two particles executing simple harmonic motion in the same direction with the same frequency? (2021)
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Solution
If they have the same frequency and direction, the phase difference is 0.
Correct Answer: A — 0
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Q. What is the phase difference between two particles executing simple harmonic motion in phase? (2021)
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
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Solution
In phase means the phase difference is 0 radians.
Correct Answer: A — 0 radians
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Q. What is the phase difference between two particles executing simple harmonic motion in the same direction with the same amplitude and frequency? (2023)
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Solution
If two particles are executing simple harmonic motion in the same direction with the same amplitude and frequency, their phase difference is 0.
Correct Answer: A — 0
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Q. What is the phase difference between two particles in a wave that are 1/4 wavelength apart? (2019)
A.
0 rad
B.
π/2 rad
C.
π rad
D.
3π/2 rad
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Solution
Phase difference (Δφ) = 2π × (distance / wavelength) = 2π × (1/4) = π/2 rad.
Correct Answer: B — π/2 rad
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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 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 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 the same medium oscillating in phase? (2023)
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
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Solution
If two particles are in phase, the phase difference is 0 radians.
Correct Answer: A — 0 radians
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Q. What is the phase difference between two particles in the same phase of oscillation? (2022)
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
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Solution
The phase difference between two particles in the same phase of oscillation is 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 particles in the same wave at a distance of half a wavelength? (2022)
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 separated by half a wavelength 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 of a wavelength apart? (2021)
A.
0 rad
B.
π/2 rad
C.
π rad
D.
3π/2 rad
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Solution
The phase difference Δφ is given by Δφ = (2π/λ) * Δx. For Δx = λ/4, Δφ = (2π/λ) * (λ/4) = π/2 rad.
Correct Answer: B — π/2 rad
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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
Show solution
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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