Amplitude MCQ Questions and Answers
1. What is the amplitude of an oscillating particle?
A. Its maximum displacement from the mean position
B. Its total distance travelled in one oscillation
C. Its time period
D. Its displacement after one complete oscillation
Correct Answer:
Its maximum displacement from the mean position
Explanation:
Amplitude is defined as the maximum displacement of an oscillating particle from its mean or equilibrium position.
2. A particle moves between positions +5 cm and -5 cm relative to its mean position. What is its amplitude?
A. 2.5 cm
B. 5 cm
C. 10 cm
D. 25 cm
Correct Answer:
5 cm
Explanation:
The amplitude is the maximum displacement from the mean position. Here, the maximum displacement is 5 cm.
3. The displacement of a particle in simple harmonic motion varies between +8 m and -8 m. What is the peak-to-peak displacement?
A. 4 m
B. 8 m
C. 16 m
D. 64 m
Correct Answer:
16 m
Explanation:
Peak-to-peak displacement is the distance between the maximum positive and maximum negative displacements. Therefore, it is 8 m - (-8 m) = 16 m.
4. If the maximum displacement of an oscillator from its equilibrium position is 0.2 m, what is its amplitude?
A. 0.02 m
B. 0.1 m
C. 0.2 m
D. 0.4 m
Correct Answer:
0.2 m
Explanation:
The maximum displacement from the equilibrium position is equal to the amplitude, so the amplitude is 0.2 m.
5. In the equation x = 3 sin(ωt), where x is measured in centimetres, what is the amplitude?
A. 0 cm
B. 3 cm
C. ω cm
D. 3ω cm
Correct Answer:
3 cm
Explanation:
In a sinusoidal expression x = A sin(ωt), the coefficient A represents the amplitude. Thus, the amplitude is 3 cm.
6. A wave has maximum displacement of 0.06 m from its equilibrium position. What is its amplitude?
A. 0.003 m
B. 0.03 m
C. 0.06 m
D. 0.12 m
Correct Answer:
0.06 m
Explanation:
The amplitude of a wave is its maximum displacement from the equilibrium position. Therefore, the amplitude is 0.06 m.
7. If the amplitude of an oscillation is doubled, what happens to the maximum displacement from the mean position?
A. It becomes half
B. It remains unchanged
C. It becomes double
D. It becomes zero
Correct Answer:
It becomes double
Explanation:
Amplitude is the maximum displacement from the mean position. Therefore, doubling the amplitude doubles the maximum displacement.
8. A graph of displacement versus time reaches a maximum value of +12 cm and a minimum value of -12 cm. What is the amplitude?
A. 6 cm
B. 12 cm
C. 24 cm
D. 144 cm
Correct Answer:
12 cm
Explanation:
Amplitude is the magnitude of the maximum displacement from the mean position. The maximum displacement is 12 cm, so the amplitude is 12 cm.
9. Which physical quantity is measured from the mean position to an extreme position in an oscillation?
A. Amplitude
B. Peak-to-peak displacement
C. Mean displacement
D. Equilibrium distance
Correct Answer:
Amplitude
Explanation:
The distance from the mean position to either extreme position is called the amplitude.
10. An oscillator has a peak-to-peak displacement of 14 cm. What is its amplitude?
A. 3.5 cm
B. 7 cm
C. 14 cm
D. 28 cm
Correct Answer:
7 cm
Explanation:
Peak-to-peak displacement is twice the amplitude. Therefore, amplitude = 14 cm ÷ 2 = 7 cm.
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