Oscillations & Waves
Q. What is the term for the lowest frequency of a sound wave in a harmonic series?
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A.
Fundamental frequency
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B.
Overtone
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C.
Harmonic
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D.
Resonance
Solution
The lowest frequency in a harmonic series is called the fundamental frequency.
Correct Answer: A — Fundamental frequency
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Q. What is the threshold of hearing in terms of sound intensity level?
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A.
0 dB
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B.
10 dB
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C.
20 dB
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D.
30 dB
Solution
The threshold of hearing is defined as 0 dB, which corresponds to the faintest sound that can be heard by the average human ear.
Correct Answer: A — 0 dB
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Q. What is the time period of a damped oscillator with a damping ratio of 0.1 and a natural frequency of 10 rad/s?
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A.
0.2 s
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B.
0.3 s
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C.
0.4 s
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D.
0.5 s
Solution
Time period (T) = 2π/ω_n = 2π/10 = 0.2π ≈ 0.628 s.
Correct Answer: C — 0.4 s
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Q. What is the time period of a damped oscillator with a natural frequency of 3 rad/s and a damping ratio of 0.1?
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A.
2π/3
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B.
2π/3.1
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C.
2π/3.2
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D.
2π/3.3
Solution
Time period (T) = 2π/ω_n = 2π/3 rad/s = 2π/3.
Correct Answer: A — 2π/3
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Q. What is the time period of a simple pendulum of length L?
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A.
2π√(L/g)
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B.
2π√(g/L)
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C.
g/2π√L
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D.
L/2π√g
Solution
The time period T of a simple pendulum is given by T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.
Correct Answer: A — 2π√(L/g)
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Q. What is the unit of frequency?
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A.
Hertz
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B.
Decibel
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C.
Newton
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D.
Joule
Solution
The unit of frequency is Hertz (Hz), which measures cycles per second.
Correct Answer: A — Hertz
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Q. What is the unit of sound intensity?
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A.
Decibel
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B.
Watt
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C.
Pascal
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D.
Joule
Solution
Sound intensity is measured in decibels (dB).
Correct Answer: A — Decibel
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Q. What type of damping is characterized by the system oscillating with gradually decreasing amplitude?
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A.
Underdamping
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B.
Critical damping
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C.
Overdamping
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D.
No damping
Solution
Underdamping is characterized by oscillations with gradually decreasing amplitude.
Correct Answer: A — Underdamping
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Q. What type of damping occurs when the damping force is proportional to the velocity of the oscillator?
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A.
Critical damping
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B.
Underdamping
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C.
Overdamping
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D.
Linear damping
Solution
Linear damping occurs when the damping force is directly proportional to the velocity of the oscillator.
Correct Answer: D — Linear damping
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Q. What type of damping occurs when the damping ratio is greater than 1?
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A.
Underdamped
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B.
Critically damped
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C.
Overdamped
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D.
Free oscillation
Solution
When the damping ratio is greater than 1, the system is overdamped and returns to equilibrium without oscillating.
Correct Answer: C — Overdamped
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Q. What type of wave is a sound wave?
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A.
Transverse wave
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B.
Longitudinal wave
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C.
Surface wave
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D.
Electromagnetic wave
Solution
Sound waves are longitudinal waves, where the particle displacement is parallel to the direction of wave propagation.
Correct Answer: B — Longitudinal wave
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Q. What type of wave is characterized by particle motion being perpendicular to wave motion?
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A.
Longitudinal wave
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B.
Transverse wave
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C.
Surface wave
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D.
Standing wave
Solution
In a transverse wave, the particle motion is perpendicular to the direction of wave propagation.
Correct Answer: B — Transverse wave
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Q. What type of wave is produced by a vibrating string?
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A.
Longitudinal wave
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B.
Transverse wave
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C.
Surface wave
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D.
Electromagnetic wave
Solution
A vibrating string produces transverse waves, where the displacement of the medium is perpendicular to the direction of wave propagation.
Correct Answer: B — Transverse wave
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Q. What type of wave is produced when a tuning fork is struck and vibrates?
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A.
Transverse wave
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B.
Longitudinal wave
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C.
Surface wave
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D.
Electromagnetic wave
Solution
A tuning fork produces longitudinal waves, where the displacement of the medium is parallel to the direction of wave propagation.
Correct Answer: B — Longitudinal wave
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Q. What type of wave is produced when a tuning fork is struck?
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A.
Transverse wave
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B.
Longitudinal wave
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C.
Surface wave
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D.
Standing wave
Solution
A tuning fork produces longitudinal waves in the air as it vibrates back and forth, creating compressions and rarefactions.
Correct Answer: B — Longitudinal wave
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Q. What type of wave is produced when a tuning fork vibrates in air?
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A.
Transverse wave
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B.
Longitudinal wave
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C.
Surface wave
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D.
Electromagnetic wave
Solution
A tuning fork produces longitudinal waves in air, where the particles of the medium vibrate parallel to the direction of wave propagation.
Correct Answer: B — Longitudinal wave
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Q. What type of wave is produced when a tuning fork vibrates?
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A.
Transverse wave
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B.
Longitudinal wave
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C.
Surface wave
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D.
Electromagnetic wave
Solution
A tuning fork produces longitudinal waves, as the vibrations cause compressions and rarefactions in the air.
Correct Answer: B — Longitudinal wave
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Q. What type of wave is sound classified as?
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A.
Transverse wave
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B.
Longitudinal wave
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C.
Surface wave
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D.
Electromagnetic wave
Solution
Sound is classified as a longitudinal wave, where the particle displacement is parallel to the direction of wave propagation.
Correct Answer: B — Longitudinal wave
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Q. Which of the following describes overdamped oscillations?
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A.
System oscillates with decreasing amplitude
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B.
System returns to equilibrium without oscillating
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C.
System oscillates indefinitely
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D.
System oscillates with constant amplitude
Solution
In overdamped oscillations, the system returns to equilibrium without oscillating due to strong damping.
Correct Answer: B — System returns to equilibrium without oscillating
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Q. Which of the following describes the Doppler effect?
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A.
Change in frequency due to motion
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B.
Change in amplitude due to distance
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C.
Change in speed due to temperature
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D.
Change in wavelength due to pressure
Solution
The Doppler effect refers to the change in frequency of a wave in relation to an observer moving relative to the wave source.
Correct Answer: A — Change in frequency due to motion
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Q. Which of the following describes the motion of a damped oscillator mathematically?
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A.
x(t) = A cos(ωt)
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B.
x(t) = A e^(-bt) cos(ωt)
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C.
x(t) = A sin(ωt)
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D.
x(t) = A e^(bt) cos(ωt)
Solution
The motion of a damped oscillator is described by x(t) = A e^(-bt) cos(ωt), where b is the damping coefficient.
Correct Answer: B — x(t) = A e^(-bt) cos(ωt)
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Q. Which of the following describes the motion of a damped oscillator?
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A.
Simple harmonic motion
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B.
Exponential decay
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C.
Linear motion
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D.
Circular motion
Solution
The motion of a damped oscillator is characterized by exponential decay of amplitude over time.
Correct Answer: B — Exponential decay
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Q. Which of the following describes the motion of a system undergoing overdamping?
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A.
Returns to equilibrium position quickly
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B.
Oscillates with decreasing amplitude
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C.
Returns to equilibrium position slowly without oscillating
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D.
Oscillates indefinitely
Solution
In overdamping, the system returns to the equilibrium position slowly without oscillating.
Correct Answer: C — Returns to equilibrium position slowly without oscillating
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Q. Which of the following describes the relationship between frequency and pitch?
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A.
Higher frequency means lower pitch
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B.
Lower frequency means higher pitch
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C.
Higher frequency means higher pitch
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D.
Frequency has no effect on pitch
Solution
Higher frequency corresponds to a higher pitch in sound.
Correct Answer: C — Higher frequency means higher pitch
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Q. Which of the following factors does NOT affect the speed of sound in a medium?
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A.
Temperature
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B.
Density
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C.
Humidity
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D.
Frequency
Solution
The speed of sound is affected by temperature, density, and humidity, but not by frequency.
Correct Answer: D — Frequency
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Q. Which of the following is a characteristic of a sound wave?
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A.
Transverse wave
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B.
Longitudinal wave
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C.
Electromagnetic wave
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D.
Static wave
Solution
Sound waves are longitudinal waves, where the particle displacement is parallel to the direction of wave propagation.
Correct Answer: B — Longitudinal wave
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Q. Which of the following is a characteristic of overdamped systems?
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A.
They oscillate slowly
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B.
They return to equilibrium slowly without oscillating
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C.
They oscillate rapidly
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D.
They have maximum amplitude
Solution
Overdamped systems return to equilibrium slowly without oscillating, as the damping is strong.
Correct Answer: B — They return to equilibrium slowly without oscillating
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Q. Which of the following is a characteristic of underdamped oscillations?
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A.
No oscillation occurs
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B.
Oscillations decay slowly
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C.
Oscillations decay rapidly
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D.
Oscillations are constant
Solution
Underdamped oscillations occur when the damping is weak, allowing the system to oscillate with a gradually decreasing amplitude.
Correct Answer: B — Oscillations decay slowly
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Q. Which of the following is a longitudinal wave?
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A.
Light wave
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B.
Sound wave
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C.
Water wave
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D.
Radio wave
Solution
Sound waves are longitudinal waves, where particle displacement is parallel to wave direction.
Correct Answer: B — Sound wave
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Q. Which of the following is NOT a characteristic of waves?
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A.
Reflection
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B.
Refraction
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C.
Diffraction
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D.
Conduction
Solution
Conduction is a mode of heat transfer, not a characteristic of wave motion. The other options are properties of waves.
Correct Answer: D — Conduction
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