Q. What is the frequency of a pendulum that completes 30 oscillations in 60 seconds? (2017)
-
A.
0.5 Hz
-
B.
1 Hz
-
C.
2 Hz
-
D.
3 Hz
Solution
Frequency f = number of oscillations / time = 30 / 60 = 0.5 Hz.
Correct Answer:
B
— 1 Hz
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Q. What is the frequency of a tuning fork that vibrates 256 times in 2 seconds? (2019)
-
A.
128 Hz
-
B.
256 Hz
-
C.
512 Hz
-
D.
64 Hz
Solution
Frequency (f) = Number of vibrations / Time = 256 / 2 = 128 Hz.
Correct Answer:
A
— 128 Hz
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Q. What is the frequency of a wave with a period of 0.01 s? (2020)
-
A.
100 Hz
-
B.
50 Hz
-
C.
200 Hz
-
D.
10 Hz
Solution
Frequency f = 1/T = 1/0.01 s = 100 Hz.
Correct Answer:
A
— 100 Hz
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Q. What is the frequency of a wave with a period of 0.1 s? (2020)
-
A.
10 Hz
-
B.
5 Hz
-
C.
20 Hz
-
D.
15 Hz
Solution
Frequency f = 1/T = 1/0.1 s = 10 Hz.
Correct Answer:
A
— 10 Hz
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Q. What is the frequency of a wave with a speed of 300 m/s and a wavelength of 3 m? (2023)
-
A.
100 Hz
-
B.
150 Hz
-
C.
200 Hz
-
D.
250 Hz
Solution
Frequency (f) = speed (v) / wavelength (λ) = 300 m/s / 3 m = 100 Hz.
Correct Answer:
B
— 150 Hz
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Q. What is the maximum displacement of a mass-spring system oscillating with an amplitude of 0.3 m? (2023)
-
A.
0.1 m
-
B.
0.2 m
-
C.
0.3 m
-
D.
0.4 m
Solution
The maximum displacement in a mass-spring system is defined as the amplitude, which is given as 0.3 m.
Correct Answer:
C
— 0.3 m
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Q. What is the maximum displacement of a simple harmonic oscillator called? (2022)
-
A.
Amplitude
-
B.
Frequency
-
C.
Wavelength
-
D.
Period
Solution
The maximum displacement from the mean position in simple harmonic motion is called amplitude.
Correct Answer:
A
— Amplitude
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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
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 the same medium oscillating in phase? (2023)
-
A.
0 radians
-
B.
π/2 radians
-
C.
π radians
-
D.
2π radians
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
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 half a wavelength? (2022)
-
A.
0 radians
-
B.
π/2 radians
-
C.
π radians
-
D.
3π/2 radians
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
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 relationship between the frequency and the period of a wave? (2021)
-
A.
Frequency is the square of the period
-
B.
Period is the reciprocal of frequency
-
C.
Frequency and period are unrelated
-
D.
Period is the square root of frequency
Solution
The period T is the reciprocal of frequency f, given by T = 1/f.
Correct Answer:
B
— Period is the reciprocal of frequency
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Q. What is the time period of a wave with a frequency of 20 Hz? (2022)
-
A.
0.05 s
-
B.
0.1 s
-
C.
0.2 s
-
D.
0.5 s
Solution
The time period T is the reciprocal of frequency, T = 1/f. Thus, T = 1/20 Hz = 0.05 s.
Correct Answer:
B
— 0.1 s
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Q. What is the total mechanical energy of a simple harmonic oscillator at maximum displacement? (2022)
-
A.
Zero
-
B.
Maximum
-
C.
Minimum
-
D.
Constant
Solution
At maximum displacement, the total mechanical energy of a simple harmonic oscillator is at its maximum, as all energy is potential.
Correct Answer:
B
— Maximum
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Q. What is the total mechanical energy of a simple harmonic oscillator with a mass of 1 kg, amplitude of 0.1 m, and spring constant of 100 N/m? (2022)
-
A.
0.5 J
-
B.
1 J
-
C.
2 J
-
D.
4 J
Solution
The total mechanical energy E is given by E = (1/2)kA². Therefore, E = (1/2)(100)(0.1)² = 0.5 J.
Correct Answer:
B
— 1 J
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