Simple Harmonic Motion and Waves
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Questions and Answers

What does the restoring force in a pendulum do as the bob moves towards the mean position?

  • Reverses the direction of the bob
  • Keeps the speed of the bob constant
  • Increases the speed of the bob (correct)
  • Decreases the speed of the bob

At which point does the bob have the maximum velocity during its motion?

  • At the extreme position
  • Point B
  • Mean position O (correct)
  • Point A

What is the direction of the restoring force acting on the bob when it is at point B?

  • Diagonal towards the ground
  • Away from the mean position
  • Horizontal to the path of motion
  • Towards the mean position (correct)

How does the velocity of the bob change as it moves from point O to point B?

<p>It decreases steadily (D)</p> Signup and view all the answers

What ultimately causes the pendulum to undergo simple harmonic motion?

<p>The restoring force acting towards the mean position (D)</p> Signup and view all the answers

What happens to the acceleration of the bob as it moves towards the mean position O?

<p>Acceleration increases (D)</p> Signup and view all the answers

Which statement is true about the forces acting on the pendulum bob during its motion?

<p>The weight's component along the string cancels out the tension (D)</p> Signup and view all the answers

What effect does inertia have on the motion of the pendulum bob as it passes through the mean position?

<p>Inertia helps the bob to continue moving beyond the mean position (D)</p> Signup and view all the answers

What is the time period (T) for a simple pendulum 1.0 m long at a location where g = 10.0 m s$^{-2}$?

<p>1.99 s (D)</p> Signup and view all the answers

What happens to the motion of a vibrating body in the presence of friction?

<p>The motion is damped. (D)</p> Signup and view all the answers

If a pendulum has a time period of 1.99 s, what is its frequency (f)?

<p>0.50 Hz (B)</p> Signup and view all the answers

Which of the following best defines amplitude (A) in the context of vibration?

<p>The maximum displacement from the mean position. (A)</p> Signup and view all the answers

Which scientist is credited with inventing the pendulum clock?

<p>Christian Huygens (A)</p> Signup and view all the answers

What is the relationship between frequency (f) and time period (T)?

<p>f = 1/T (C)</p> Signup and view all the answers

In an ideal vibrating system, what would happen to the motion without any friction or resistance?

<p>The motion would oscillate indefinitely. (D)</p> Signup and view all the answers

What effect does damping have on the mechanical energy of a vibrating system?

<p>It reduces the mechanical energy over time. (D)</p> Signup and view all the answers

What determines the time period of a simple pendulum?

<p>The length of the pendulum (A)</p> Signup and view all the answers

In simple harmonic motion, where is the acceleration of the body directed?

<p>Towards the mean position (B)</p> Signup and view all the answers

Which of the following statements about wave speed is correct?

<p>It equals frequency multiplied by wavelength (C)</p> Signup and view all the answers

What occurs during the reflection of waves?

<p>Waves bounce back into the original medium (B)</p> Signup and view all the answers

Which type of wave does not require a medium for propagation?

<p>Electromagnetic wave (A)</p> Signup and view all the answers

In which type of wave do particles move parallel to the direction of wave propagation?

<p>Longitudinal wave (A)</p> Signup and view all the answers

What phenomenon occurs when waves change direction as they enter a different medium?

<p>Refraction (C)</p> Signup and view all the answers

Which of the following describes the maximum displacement from the mean position in SHM?

<p>Amplitude (C)</p> Signup and view all the answers

Which of the following waves do not require a medium for propagation?

<p>Electromagnetic waves (A)</p> Signup and view all the answers

What particle motion occurs in longitudinal waves?

<p>Particles move parallel to wave direction (A)</p> Signup and view all the answers

How do longitudinal waves differ in speed when traveling through different states of matter?

<p>They travel fastest through solids (A)</p> Signup and view all the answers

Which of the following is an example of an electromagnetic wave?

<p>Heat waves (A)</p> Signup and view all the answers

What occurs in a longitudinal wave as it propagates through a medium?

<p>Regions of compression and rarefaction are formed (D)</p> Signup and view all the answers

Which of the following describes transverse waves?

<p>Particles move perpendicular to wave motion (C)</p> Signup and view all the answers

What type of wave can be produced on a slinky when appropriately pushed and pulled?

<p>Longitudinal waves (A)</p> Signup and view all the answers

Which statement about the speed of transverse waves is true?

<p>They travel slower than longitudinal waves in solids (C)</p> Signup and view all the answers

What does the velocity of a wave depend on?

<p>The medium it travels through (D)</p> Signup and view all the answers

How is the wavelength of a wave related to its wave speed and frequency?

<p>Wave speed equals wavelength times frequency (A)</p> Signup and view all the answers

If the wavelength of a wave is 2 m and its frequency is 5 Hz, what is the wave speed?

<p>10 m/s (C)</p> Signup and view all the answers

What is the primary use of a ripple tank?

<p>To produce and study water waves (B)</p> Signup and view all the answers

What is the time period T in relation to frequency f?

<p>T is the reciprocal of f (C)</p> Signup and view all the answers

In the formula v = f λ, if frequency increases while wavelength stays constant, what happens to wave speed?

<p>Wave speed increases (B)</p> Signup and view all the answers

In the example given, what is the wave speed if the frequency is 4 Hz and wavelength is 0.4 m?

<p>1.6 m/s (C)</p> Signup and view all the answers

What type of waves can the equation v = f λ apply to?

<p>Both longitudinal and transverse waves (C)</p> Signup and view all the answers

What happens to the displacement of a cork when a wave passes through it?

<p>The cork's net displacement is zero. (B)</p> Signup and view all the answers

In the described rope activity, how does point P move as the wave travels along the rope?

<p>Point P moves perpendicular to the direction of the wave motion. (B)</p> Signup and view all the answers

What best defines a wave based on the described content?

<p>A wave is a disturbance in a medium causing particles to vibrate about their mean position. (D)</p> Signup and view all the answers

What characterizes mechanical waves as opposed to other types of waves?

<p>Mechanical waves require a medium for their propagation. (A)</p> Signup and view all the answers

Which of the following is NOT an example of a mechanical wave?

<p>Radio waves (A)</p> Signup and view all the answers

What is the overall motion of particles in a medium as a wave passes through?

<p>Particles vibrate around a fixed position with no net displacement. (D)</p> Signup and view all the answers

How do the electric and magnetic fields in electromagnetic waves behave?

<p>They oscillate perpendicular to each other. (C)</p> Signup and view all the answers

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Flashcards

String

The string connecting the bob to the fixed point in a simple pendulum.

Bob

The object attached to the string in a simple pendulum.

Mean position

The point where the bob is at rest, the middle point of its oscillation.

mg cos θ

The component of the weight of the bob acting perpendicular to the string.

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mg sin θ

The component of the weight of the bob acting along the direction of motion. This force acts as a restoring force for the pendulum.

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Restoring force

The force that pulls the bob back towards the mean position.

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Time period

The time taken for one complete oscillation of the pendulum.

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Simple Harmonic Motion (SHM)

Describes the motion of a simple pendulum where the acceleration is always proportional to the displacement from the mean position and directed towards it.

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Wave

A disturbance propagating through a medium, causing particles in the medium to vibrate around their average positions.

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Mechanical waves

Waves that need a medium (like air, water, or a solid) to travel through.

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Electromagnetic waves

Waves that do not require a medium to travel, they can travel through a vacuum.

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Vibrations

The up and down or back and forth motion of particles of a medium as a wave passes by.

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Crest

The highest point of a wave.

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Trough

The lowest point of a wave.

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Time Period (T)

The time it takes for a vibrating object to complete one full vibration or cycle. It's like measuring how long it takes for a swing to go back and forth once.

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Frequency (f)

The number of vibrations or cycles that a vibrating object completes in one second. Think of how many times a swing goes back and forth in a single second.

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Amplitude (A)

The maximum distance a vibrating object moves away from its resting position on either side. It's the furthest point the swing moves from the middle.

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Damped Oscillations

Vibrations that gradually decrease in amplitude due to resisting forces like friction. Think of a pendulum slowly stopping because of air resistance.

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Longitudinal wave

Longitudinal waves are waves where the particles of the medium move parallel to the direction of the wave's propagation.

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Transverse wave

Transverse waves are waves where the particles of the medium move perpendicular to the direction of the wave's propagation.

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Compression

A region in a longitudinal wave where the particles are close together, resulting in higher density.

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Rarefaction

A region in a longitudinal wave where the particles are spread apart, resulting in lower density.

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Wavelength (longitudinal)

The distance between two consecutive compressions or rarefactions in a longitudinal wave.

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Wavelength (transverse)

The distance between two consecutive crests or troughs in a transverse wave.

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What is a wave?

A disturbance that travels through a medium (like air, water, or a solid) and causes particles in that medium to vibrate.

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What is wavelength?

The distance between two consecutive crests or troughs of a wave.

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What is frequency?

The number of waves that pass a fixed point in one second.

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What is wave speed?

The speed at which a wave travels.

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What is the relationship between wave speed, frequency, and wavelength?

The speed of the wave is equal to the product of its frequency and wavelength.

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What is a ripple tank?

A device used to create and explore water waves in a controlled environment. It contains a rectangular tray with a glass bottom and a vibrator.

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What are seismic waves?

Seismic waves are caused by earthquakes and travel through the Earth's crust. Studying them helps geophysicists understand the Earth's internal structure.

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How do seismic waves help us learn about the Earth?

The study of seismic waves reveals details about the Earth's interior, including its layers and composition.

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Diffraction

The bending of waves around obstacles or sharp edges.

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Study Notes

Simple Harmonic Motion and Waves

  • Simple harmonic motion (SHM) is oscillatory motion where acceleration is directly proportional to displacement from the mean position, always towards it.
  • Examples of SHM include a mass on a spring, a pendulum, and a ball in a bowl.
  • Damping refers to the reduction in amplitude of oscillations due to resistive forces like friction.
  • Waves are disturbances that transfer energy, not matter.
  • Mechanical waves need a medium to travel (e.g., water waves, sound waves.)
  • Electromagnetic waves do not need a medium (e.g., light, radio waves).
  • Transverse waves have oscillations perpendicular to the direction of wave travel (e.g., waves on a string).
  • Longitudinal waves have oscillations parallel to the direction of wave travel (e.g., sound waves).
  • Wave speed (v) equals frequency (f) multiplied by wavelength (λ) (v = fλ).
  • Time period (T) is the time to complete one cycle and is the reciprocal of frequency (T = 1/f).
  • Amplitude (A) is the maximum displacement from the mean position.
  • Reflection is when a wave bounces off a surface.
  • Refraction is when a wave changes speed and direction when entering a different medium.
  • Diffraction is the spreading of waves as they pass through an opening or around an obstacle.
  • Ripple tanks are used to visualize wave properties like reflection, refraction, and diffraction.

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Physics Class 10th Ch 10 PDF

Description

This quiz covers the fundamental concepts of simple harmonic motion and waves, including definitions, examples, and key equations. Learn about the differences between mechanical and electromagnetic waves, as well as transverse and longitudinal waves. Test your understanding of oscillatory motion, wave speed, and amplitude.

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