Q1. The restoring force in a simple harmonic oscillator is directly proportional to what? (2022)
Solution:
The restoring force (F) is directly proportional to the displacement (x) and acts in the opposite direction, F = -kx.
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Q2. The frequency of a simple harmonic oscillator is 5 Hz. What is its angular frequency? (2020)
Solution:
Angular frequency (ω) = 2πf = 2π × 5 = 10 rad/s
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Q3. The energy of a simple harmonic oscillator is maximum at which point? (2022)
Solution:
The energy of a simple harmonic oscillator is maximum at the amplitude, where the velocity is zero and all energy is potential.
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Q4. The frequency of a wave is 10 Hz. What is the frequency of its second harmonic? (2021)
Solution:
The frequency of the second harmonic is twice the fundamental frequency. Therefore, if the fundamental frequency is 10 Hz, the second harmonic frequency is 2 * 10 Hz = 20 Hz.
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Q5. In a simple harmonic motion, the maximum velocity occurs at which point? (2019)
Solution:
Maximum velocity occurs at the mean position where the displacement is zero.
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Q6. A mass-spring system oscillates with a frequency of 2 Hz. What is the period of oscillation? (2019)
Solution:
Period (T) = 1 / frequency = 1 / 2 Hz = 0.5 s.
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Q7. The restoring force in simple harmonic motion is directly proportional to what? (2022)
Solution:
The restoring force (F) is directly proportional to the displacement (x) and acts in the opposite direction, F = -kx.
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Q8. The maximum displacement from the mean position in simple harmonic motion is called: (2019)
Solution:
The maximum displacement is defined as the amplitude.
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Q9. In a simple harmonic oscillator, if the mass is increased, what happens to the time period? (2019)
Solution:
Time period (T) = 2π√(m/k). If mass (m) increases, T increases.
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Q10. In a simple harmonic motion, the restoring force is directly proportional to the displacement. What is the nature of this force? (2022)
Solution:
The restoring force in SHM is a conservative force as it can do work and store energy.
