1. The time taken by a periodic motion to complete one full cycle is called its:
A.
Amplitude
B.
Frequency
C.
Time period
D.
Phase
Correct Answer:
Time period
Explanation:
The time period is the time required for one complete cycle of a periodic motion.
2. What is the SI unit of time period?
A.
Hertz
B.
Second
C.
Metre
D.
Radian
Correct Answer:
Second
Explanation:
Time period is a measure of time, so its SI unit is the second.
3. A particle completes 5 oscillations in 10 seconds. What is its time period?
A.
0.5 s
B.
2 s
C.
5 s
D.
50 s
Correct Answer:
2 s
Explanation:
Time period is total time divided by the number of oscillations: T = 10/5 = 2 s.
4. If the frequency of an oscillation is 4 Hz, its time period is:
A.
4 s
B.
2 s
C.
0.25 s
D.
0.04 s
Correct Answer:
0.25 s
Explanation:
Time period and frequency are related by T = 1/f. Thus, T = 1/4 = 0.25 s.
5. A periodic motion has a time period of 0.2 s. How many complete cycles does it make in 1 second?
A.
0.2
B.
2
C.
5
D.
10
Correct Answer:
5
Explanation:
The number of cycles per second is the frequency, f = 1/T = 1/0.2 = 5 Hz.
6. For a periodic function, the time period is the smallest time interval after which the function:
A.
Becomes zero
B.
Reaches maximum value
C.
Repeats its value and behavior
D.
Changes its amplitude
Correct Answer:
Repeats its value and behavior
Explanation:
The time period is the smallest interval after which the complete pattern of a periodic function repeats.
7. If the time period of an oscillation is doubled, its frequency becomes:
A.
Doubled
B.
Halved
C.
Unchanged
D.
Four times larger
Correct Answer:
Halved
Explanation:
Since f = 1/T, doubling the time period makes the frequency half its original value.
8. A pendulum takes 3 seconds to complete one oscillation. What is its time period?
A.
1/3 s
B.
1 s
C.
3 s
D.
6 s
Correct Answer:
3 s
Explanation:
The time taken for one complete oscillation is directly the time period, so T = 3 s.
9. Which of the following quantities is the reciprocal of time period?
A.
Amplitude
B.
Frequency
C.
Angular displacement
D.
Wavelength
Correct Answer:
Frequency
Explanation:
Frequency is the reciprocal of time period, expressed as f = 1/T.
10. A vibrating object has a frequency of 10 Hz. How much time does it take to complete one cycle?
A.
0.01 s
B.
0.1 s
C.
1 s
D.
10 s
Correct Answer:
0.1 s
Explanation:
Using T = 1/f, the time period is T = 1/10 = 0.1 s.
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