Oscillations, oscillatory motion, fundamental, periodic motion, harmonic motion.
Welcome to Nokryan! Today, we are going to discuss Physics Oscillations, your all-in-one platform for ECAT entry test preparation. This oscillation is part of many other systems, mapping from simple pendulums to multi-variable harmonics motions. This foundation will allow you to grasp skills such as periodic motion, restoring forces, and resonance effects in mechanical and wave systems.
Understanding Physics Oscillations
Physics Oscillations refer to Repetitive movements around an equilibrium position One such case is simple harmonic motion (SHM), where we have an object oscillating back and forth under the action of a restoring force proportional to the displacement. Hooke’s Law: The force in a spring-mass system. The restoring force is directly proportional to displacement. This is a general approach widely used in physics, whether it be mechanics, waves, or even quantum physics.
Key Concepts in Physics Oscillations
- Restoring Force & Simple Harmonic Motion (SHM): The force that brings an oscillating body back to its mean position is called the restoring force, following Hooke’s Law: F = -kx.
- Angular Frequency (ω): A crucial parameter of oscillations, related to the time period (T) as ω = 2π/T.
- Time Period & Frequency: The time period (T) is the time for one complete oscillation, and frequency (f) is the number of oscillations per second.
- Phase & Displacement: The equation x = x₀ cos (ωt + φ) describes the instantaneous displacement of a body in SHM.
- Energy in Oscillatory Motion: The total energy in Physics Oscillations remains constant, transitioning between kinetic and potential energy.
- Damped & Forced Oscillations: Real-world oscillators experience damping due to resistive forces. Forced oscillations occur when an external periodic force maintains motion, leading to resonance if matched with the system’s natural frequency.
Entry Test Physics Oscillations MCQS Online Preparation Sample Paper 1 Questions with Answer
1. Restoring force is the
- All of these Correct
- Elastic force
- Opposing force
- Frictional force
2. One vibration means, the motion of mass from its
- Mean position to upper extreme position
- From mean position to back to its mean position Correct
- All of these
- From extreme position to mean position
3. Frequency in the term used for
- None of these
- Number of vibrations for the second Correct
- Number of vibrations per minute
- Time to take one vibration
4. Angular frequency ‘ω’ is the characteristic of circular motion, which can be used to compute the value of
- A and B Correct
- Instantaneous displacement
- Instantaneous acceleration
- Instantaneous velocity
5. The angle Θ gives the states of the system in its
- Position of the particle in a circle
- All of these Correct
- Phase of vibration
- Vibrational cycle
6. In Hook’s law, K is the spring constant depending on the
- Applied force
- All of these
- Material of spring Correct
- Dimensions of spring
7. The relation for instantaneous velocity v is
- None of these
- ω √x² – x₀²
- x₀ω/x √x₀ – x
- ω √x₀² – x² Correct
8. The body oscillates due to a
- Applied force
- Frictional force
- Restoring force Correct
- None of these
9. The effective component of Vp or the velocity of the particle is given by
- Vp cos Θ
- All of these Correct
- X₀ ω cos Θ
- Vp sin (90⁰ – Θ)
10. The relation for the displacement in SHM is
- x = x₀ cos (ωt + φ)
- x = x₀ cos ωt Correct
- x = x₀ sin ωt
- None of these
11. The restoring force is always directed towards the
- Initial position
- Rest position or mean position Correct
- All of these
- Final positions
12. The velocity of the body changes at different points. It is maximum at
- Between extreme and mean position
- None of these
- Extreme position
- Mean position Correct
13. The vibrating bodies produce
- Sound
- All of these Correct
- Disturbance
- Waves
14. Some examples of typical vibratory motion are
- A mass suspended from a spring
- A steel ruler clamp at one end
- Bob of a simple pendulum
- All of these Correct
15. Amplitude is the term defined for
- None of these
- Large distance
- Maximum displacement Correct
- Small distance
16. The velocity of the body is zero at?
- None of these
- Between mean and extreme position
- Mean position
- Extreme position Correct
17. Oscillatory motion is a type of motion which is
- To and fro
- All of these Correct
- Periodic motion
- Vibratory motion
18. Time period of a vibrating body is
- Time to take 1 vibration Correct
- None of these
- Time to take ½ vibration
- Time for 30 vibrations
19. Hook’s law is defined as
- None of these
- F and x are directly proportional Correct
- F and x have no relation
- F and x are inverse-proportional
20. A simple harmonic motion in which the
- All of these Correct
- Acceleration is directed towards the mean position
- Acceleration is directly proportional to the displacement
- Acceleration produced is due to restoring force
Entry Test Physics Oscillations MCQS Online Preparation Sample Paper 2 Questions with Answer
1. Which one is the initial phase in the relation x = x₀ sin (ωt +φ)
- (ωt + φ)
- None of these
- ωt
- Φ Correct
2. When mass m = 0.05 kg and spring constant k = 245 kgs¯². Find the time period of the system
- 0.29sec
- 0.28 sec Correct
- 0.20 sec
- 0.12 sec
3. When T = 1.0 sec and g = 9.8 ms¯². Find the length of the pendulum
- 0.83m
- 0.99m
- 0.25m Correct
- 0.93m
4. The formula for the instantaneous velocity when friction is not considered
- V₀ = V √1 – x₀²/x²
- V = V₀ √1 – x² / x₀² Correct
- None of these
- V = V₀ √1 – x₀²/x²
5. The potential energy at any instant is
- P.E. = ½ Kx
- P.E. = ½ Kx² Correct
- None of these
- P.E. = ½ Kx₀²
6. The work done in stretching spring appears as the elastic potential energy of the spring is?
- P.E. = ½ Kx₀² Correct
- P.E. = ½ Kx²
- None of these
- P.E. = ½ K²x²
7. Consider the equation x = x₀ sin (ωt +φ). Find the phase angle
- ωt
- φ
- (ωt + φ) Correct
- None of these
8. A block weighing 40 kg extends a spring by 0.16 m from its unscratched position. What is the value of K
- 201 kgs¯²
- 170 kgs¯²
- 245 kgs¯² Correct
- 215kgs¯²
9. If we take the initial phase as π/2 or 90⁰, the displacement is
- x= x₀ cos (ωt + 90⁰)
- None of these
- x= x₀ sin (ωt + 90⁰)
- x= x₀ cos ωt Correct
10. In energy conservation, when the spring is stretched slowly so that acceleration is
- Minimum
- Maximum
- None of these
- Zero Correct
11. Which component of weight balances the tension T in the string
- -mg cos Θ
- mg sin Θ
- mg cos Θ Correct
- None of these
12. Work done in displacing the mass through X₀ is
- W = ½ Kx₀
- W = ½ K x₀ Correct
- None of these
- W = ½ Kx²
13. A simple pendulum is defined as
- Small heavy mass
- All of these Correct
- Frictionless support
- Light inextensible string
14. According to the relation S = r Θ, then Θ in sa imple pendulum is
- gX/l
- l/g
- g/l
- X/l Correct
15. The kinetic energy is maximum when mass is at equilibrium
- P.E.max = ½ Kx²
- P.E.max = ½ Kx₀² Correct
- P.E.max = ½ K²x
- None of these
16. The restoring force applied to the pendulum
- mg sin Θ
- -mg cos Θ
- -mg sin Θ Correct
- mg cos Θ
17. The motion of a simple pendulum is SHM of Θ is
- None of these
- Large
- Very large
- Small Correct
18. When T = 1.0 sec and g = 9.8 ms¯². Find the frequency of such a pendulum
- 2 Hz
- 0.1 Hz
- 1 Hz Correct
- 10 Hz
19. The maximum potential energy at the extreme position is
- P.E.max = ½ Kx²
- P.E.max = ½ K²x₀²
- None of these
- P.E.max = ½ Kx₀² Correct
20. The maximum value of the mass-spring system is
- None of these
- V₀ = X √x/m
- V₀ = x₀√K/ Correct
- V = x₀ + √K/F
Entry Test Physics Oscillations MCQS Online Preparation Sample Paper 3 Questions with Answer
1. The damping effect for the pith ball due to air resistance and for the lead ball is
- Much greater Correct
- Lowest
- None of these
- Greater
2. The damped oscillations are produced due to
- All of these Correct
- Frictional support of the system
- System friction
- Air resistance
3. The damping depends upon
- Sharpness
- Amplitude
- None of these
- Both Correct
4. In a resonance situation, the driving force may be
- Strong
- Feeble Correct
- None of these
- Weak
5. Which of the following property/properties a system must have in order to execute simple harmonic motion?
- Inertia
- Elasticity
- Moment of inertia
- A and B Correct
6. The forced vibrations will take place when subjected to an
- Applied force
- External force Correct
- Internal force
- None of these
7. A driven harmonic oscillator is the device in which, a physical system undergoes
- Powerful vibrations
- None of these
- Free vibrations
- Forced vibrations Correct
8. Resonance is a phenomenon in which the external driving force is a periodic with period comparable to the period of the oscillator which is
- Lowest period
- Highest period
- None of these
- Natural period Correct
9. At the frequency of 2450 MHz, the waves are absorbed due to resonance by
- Both Correct
- Water molecules
- All of these
- Fat molecules
10. The frequency of these free oscillations is known as its
- None of these
- Maximum frequency
- Minimum frequency
- Natural frequency Correct
11. At resonance, the transfer of energy is
- Zero
- Minimum
- Minimum and maximum
- Maximum Correct
12. The frequency produced by the microwave oven is
- 2780 HZ
- 2450 Hz
- 2000 Hz
- 2450 MHz Correct
13. The energy of the oscillation comes from the
- Applied force
- Starting source
- Driving source Correct
- None of these
14. The oscillations in which the amplitude decreases steadily with time are called
- None of these
- Sometimes undamped
- Damped Correct
- Undamped
15. A body is said to be executing free vibrations when it oscillates when external force is
- Present
- Absent Correct
- Some times absent
- None of these
16. The waves produced in a microwave oven have a wavelength
- 11 cm
- 12 cm Correct
- 11.5 cm
- 10 cm
17. The time period of a system executing simple harmonic motion depends upon
- Mass
- Amplitude
- Force constant
- B and C Correct
18. Find the distance through which the mass must be pulled down and then released with a velocity of 1.0 ms¯¹ and given that ω = 8.94 s¯¹
- 0.11 m Correct
- 0.09 m
- 0.10 m
- 0.12 m
19. A spring of spring constant K = 80.0 Nm¯¹ and m = 1.0 kg. Find the value of ω
- 5.45 s¯¹
- 6.89 s¯¹
- 9.95 ¯¹
- 8.94 s¯¹ Correct
20. Under feeble driving force, the amplitude of the motion may become
- Starting source
- Applied force
- None of these Correct
- Driving source
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