physics : class11 Periodic Function Graphs : Periodic Functions : Oscillations and Waves MCQ Questions and Answers
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Periodic Function Graphs
MCQ questions and answers.
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MCQ Questions
1. A periodic function repeats its graph after a fixed interval along the horizontal axis. This interval is called the:
A.
Amplitude
B.
Period
C.
Mean value
D.
Phase angle
Correct Answer:
Period
Explanation:
The period is the smallest horizontal interval after which the graph of a periodic function repeats itself.
2. The graph of y = sin x repeats after which interval on the x-axis?
A.
π/2
B.
π
C.
2π
D.
4π
Correct Answer:
2π
Explanation:
The sine graph completes one full cycle and repeats after an interval of 2π.
3. In the graph of y = 3 sin x, the maximum value of y is:
A.
1
B.
2
C.
3
D.
6
Correct Answer:
3
Explanation:
The coefficient 3 gives the amplitude of the sine graph, so its maximum value is 3.
4. For the graph y = cos x, the value of y at x = 0 is:
A.
0
B.
1
C.
-1
D.
π
Correct Answer:
1
Explanation:
The cosine graph starts at its maximum value, and cos 0 = 1.
5. Which feature of a periodic function graph represents its amplitude?
A.
The horizontal distance between two successive peaks
B.
The vertical distance from the mean position to a peak
C.
The distance between two zero crossings
D.
The horizontal distance from the origin to a peak
Correct Answer:
The vertical distance from the mean position to a peak
Explanation:
Amplitude is shown on a graph as the maximum vertical displacement from the mean or central position.
6. A graph has successive peaks at x = 2 cm and x = 8 cm. What is its period?
A.
2 cm
B.
4 cm
C.
6 cm
D.
10 cm
Correct Answer:
6 cm
Explanation:
The period is the horizontal distance between successive identical points, such as two consecutive peaks: 8 cm - 2 cm = 6 cm.
7. The graph of a sinusoidal function has maximum value 5 and minimum value -5. What is its amplitude?
A.
0
B.
5
C.
10
D.
-5
Correct Answer:
5
Explanation:
The amplitude is half the difference between the maximum and minimum values: (5 - (-5))/2 = 5.
8. Compared with the graph of y = sin x, the graph of y = sin(x + π/2) is shifted:
A.
π/2 units to the left
B.
π/2 units to the right
C.
π units to the left
D.
π units to the right
Correct Answer:
π/2 units to the left
Explanation:
Adding π/2 inside the argument shifts the sine graph horizontally π/2 units to the left.
9. A periodic graph crosses its mean position at x = 1 m and again at x = 5 m, with no complete cycle between these crossings. The distance between these points represents:
A.
One complete period
B.
Half a period
C.
One-fourth of a period
D.
Twice the amplitude
Correct Answer:
Half a period
Explanation:
Successive crossings of the mean position in a sinusoidal graph are separated by half of one complete cycle.
10. Which graph feature is used to find the period of a periodic function?
A.
The vertical distance between its maximum and minimum
B.
The horizontal distance between two consecutive peaks
C.
The height of its first peak only
D.
The number of times it crosses the vertical axis
Correct Answer:
The horizontal distance between two consecutive peaks
Explanation:
The horizontal separation between consecutive identical points, such as peaks, gives the period of the graph.
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