## Oscillation MCQs for NEET - JEE

Oscillation is a periodic motion about an equilibrium position and repeats itself over a period of time. The most common examples of oscillation are spring moving up and down, vibrations of strings in musical instruments. A simple pendulum is generally used in laboratories to understand the concept of oscillation.

Sure! Here are some multiple-choice questions (MCQs) on the topic of “Oscillations” for NEET (National Eligibility cum Entrance Test) preparation:

1. Which of the following is an example of a simple harmonic oscillator?

a) A swinging pendulum

b) A bouncing ball

c) A rolling car

d) A flying bird

2. The time period of a simple pendulum depends on:

a) The mass of the pendulum bob

b) The length of the pendulum

c) The amplitude of the pendulum’s motion

d) The angle of displacement of the pendulum bob

3. The restoring force in simple harmonic motion is:

a) Directly proportional to the displacement from the equilibrium position

b) Inversely proportional to the displacement from the equilibrium position

c) Independent of the displacement from the equilibrium position

d) Directed opposite to the displacement from the equilibrium position

4. The maximum displacement from the equilibrium position in a vibrating system is called:

a) Frequency

b) Amplitude

c) Time period

d) Phase

5. The angular frequency (ω) of a particle executing simple harmonic motion is given by:

a) ω = (2π/T), where T is the time period

b) ω = (2π/f), where f is the frequency

c) ω = (2π/λ), where λ is the wavelength

d) ω = (2π/A), where A is the amplitude

6. The phase difference between two particles executing simple harmonic motion with the same frequency is:

a) 0 degrees

b) 45 degrees

c) 90 degrees

d) 180 degrees

7. When a mass-spring system oscillates with a small amplitude, its time period is approximately equal to the time period of:

a) A simple pendulum of the same length

b) A simple pendulum of half the length

c) A simple pendulum of double the length

d) A simple pendulum of four times the length

8. The displacement-time graph of an object in simple harmonic motion is best represented by:

a) A straight line

b) A parabola

c) A sine curve

d) A circle

9. In simple harmonic motion, the acceleration is maximum at:

a) The mean position

b) The amplitude position

c) The extreme position

d) All positions, as acceleration remains constant

10. The motion of a simple pendulum is an example of:

a) Forced oscillation

b) Damped oscillation

c) Free oscillation

d) Driven oscillation

**Answers:**

1. a) A swinging pendulum

2. b) The length of the pendulum

3. a) Directly proportional to the displacement from the equilibrium position

4. b) Amplitude

5. a) ω = (2π/T), where T is the time period

6. c) 90 degrees

7. a) A simple pendulum of the same length

8. c) A sine curve

9. c) The extreme position

10. c) Free oscillation

Note: These questions cover essential concepts in Oscillations. Make sure to understand the principles and equations related to simple harmonic motion while preparing for the NEET exam. Good luck with your preparation!

## Oscillation MCQs for JEE

Certainly! Here are some more multiple-choice questions (MCQs) on the topic of “Oscillations” for JEE (Joint Entrance Examination) preparation:

1. Which of the following quantities remains constant in simple harmonic motion?

a) Displacement

b) Velocity

c) Acceleration

d) Mechanical energy

2. The time period of a simple pendulum of length ‘L’ is given by:

a) T = 2π(L/g)

b) T = 2π(g/L)

c) T = 2π√(L/g)

d) T = 2π√(g/L)

3. In simple harmonic motion, the maximum speed of the particle occurs at:

a) The mean position

b) The amplitude position

c) The extreme position

d) Half the amplitude position

4. The angular frequency (ω) of a particle in simple harmonic motion is related to its time period (T) as:

a) ω = (2π/T)

b) ω = (π/T)

c) ω = (T/π)

d) ω = (T/2π)

5. A mass-spring system has a time period ‘T’ when on the surface of the Earth. What will be its time period when taken to a planet where the acceleration due to gravity is ‘g’?

a) T

b) 2T

c) √2T

d) T/√2

6. The motion of a simple pendulum is an example of:

a) Forced oscillation

b) Damped oscillation

c) Free oscillation

d) Driven oscillation

7. The maximum displacement of a particle from its mean position during one complete oscillation is called:

a) Frequency

b) Time period

c) Phase

d) Amplitude

8. When the displacement of a particle in simple harmonic motion is one-fourth of its amplitude, the magnitude of its acceleration is:

a) Half the maximum acceleration

b) One-fourth of the maximum acceleration

c) Equal to the maximum acceleration

d) Double the maximum acceleration

9. In a simple harmonic motion, the acceleration is zero at:

a) The mean position

b) The amplitude position

c) The extreme position

d) All positions

10. A body oscillates with a frequency of 5 Hz. What is the time period of oscillation?

a) 5 seconds

b) 0.2 seconds

c) 0.5 seconds

d) 2 seconds

**Answers:**

1. d) Mechanical energy

2. d) T = 2π√(g/L)

3. c) The extreme position

4. a) ω = (2π/T)

5. c) √2T

6. c) Free oscillation

7. d) Amplitude

8. b) One-fourth of the maximum acceleration

9. a) The mean position

10. b) 0.2 seconds

Note: These questions cover essential concepts in Oscillations. Make sure to understand the principles and equations related to simple harmonic motion while preparing for the JEE exam. Good luck with your preparation!

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