Electromagnetic Waves and Spectrum

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Questions and Answers

Which of the following statements accurately describes the relationship between wavelength, frequency, and speed of a wave?

  • Wavelength is independent of both frequency and speed.
  • Wavelength is directly proportional to both frequency and speed.
  • Wavelength is directly proportional to frequency and inversely proportional to speed.
  • Wavelength is inversely proportional to frequency and directly proportional to speed. (correct)

A ray of light travels from water (n = 1.33) into air (n = 1.00) at an angle of incidence of 40 degrees. What phenomenon might occur, and why?

  • Total internal reflection, because the angle of incidence is less than the critical angle.
  • Total internal reflection, because the angle of incidence is greater than the critical angle.
  • Refraction, because the light ray bends away from the normal. (correct)
  • Refraction, because the light ray bends towards the normal.

During a hot summer day, you observe a mirage on a road. Which of the following best explains the formation of this optical phenomenon?

  • Dust particles in the air are scattering light, creating an illusion.
  • Light is refracted due to varying densities of air at different temperatures. (correct)
  • The atmosphere is undergoing total internal reflection.
  • The road is acting as a perfect reflector, creating a virtual image.

How does an increase in temperature relate to the kinetic and potential energy of the atoms within a system?

<p>An increase in temperature increases the kinetic energy of the atoms. (D)</p> Signup and view all the answers

Which of the following explains why evaporation leads to cooling?

<p>Evaporation removes the molecules with the highest kinetic energy from the liquid. (B)</p> Signup and view all the answers

A metal block with a mass of 2.0 kg absorbs 1000 J of heat, and its temperature rises by 5°C. What is the specific heat capacity of the metal?

<p>$100 J/kg°C$ (A)</p> Signup and view all the answers

An object emits electromagnetic radiation with a peak wavelength of $10 \mu m$. If Wien's constant is $2.898 \times 10^{-3} m\cdot K$, what is the temperature of the object?

<p>289.8 K (B)</p> Signup and view all the answers

Which of the following best demonstrates the application of energy transfer and change of state concepts to climate change?

<p>The melting of polar ice caps due to increased global temperatures. (B)</p> Signup and view all the answers

Flashcards

Electromagnetic Waves

Waves that travel at the speed of light in a vacuum and don't need a medium to travel.

Wavelength Factors

A wave's length is determined by its speed in a medium and how often it oscillates.

Refraction

The bending of light as it passes from one medium to another.

Critical Angle

The angle of incidence beyond which light is entirely reflected within a medium.

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Celsius to Kelvin

The conversion formula where 0°C is equal to 273.15K.

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Conduction

Heat transfer through direct contact.

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Convection

Heat transfer through the movement of fluids (liquids or gases).

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Wien's Law

The peak wavelength of emitted radiation is inversely proportional to its temperature.

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Study Notes

  • Electromagnetic waves are transverse waves.

  • They travel at the same speed, c, in a vacuum.

  • Mechanical waves require a medium to propagate, unlike electromagnetic waves.

  • Relationships between wave characteristics: v = fλ, f = 1/T.

  • Where:

    • v is wave speed
    • f is frequency
    • λ is wavelength
    • T is period
  • Wavelength is a result of velocity and frequency.

  • Velocity is determined by the medium.

  • Frequency is determined by the source.

  • Solar electromagnetic radiation includes:

    • Ultraviolet
    • Visible light
    • Infrared
  • The electromagnetic spectrum includes:

    • Radio waves
    • Microwaves
    • Infrared
    • Visible light
    • Ultraviolet
    • X-rays
    • Gamma rays
  • Different regions of the electromagnetic spectrum have different wavelengths and frequencies.

  • Each region has different uses in society.

Wave behavior

  • Refraction follows Snell’s Law: n1sin(θ1) = n2sin(θ2) and n1v1 = n2v2.
  • Total internal reflection and critical angle adhere to: n1sin(θc) = n2sin(90º).

Optical Phenomena

  • Rainbows and mirages are optical phenomena.

Optical Fibers

  • Light transmission through optical fibers is used for communication.

Temperature Scales

  • Convert between Celsius and Kelvin scales.

Thermal Energy

  • An increase in temperature corresponds to an increase in thermal energy.
  • Thermal energy consists of kinetic and potential energy of atoms.

Heat Transfer

  • Conduction: Heat transfer within a material or between materials that are in direct contact.
  • Convection: Heat transfer by the movement of a fluid (liquid or gas).
  • Radiation: Heat transfer through electromagnetic waves.

Cooling by Evaporation

  • Evaporation causes cooling due to the kinetic energy model.

Energy and Temperature

  • Energy required to raise the temperature of a substance: Q = mcΔT.
    • Where:
      • Q is the heat energy
      • m is the mass
      • c is the specific heat capacity
      • ΔT is the change in temperature
  • Energy required to change the state of a substance: Q = mL.
    • Where:
      • Q is the heat energy
      • m is the mass
      • L is the latent heat

Wien’s Law

  • Peak wavelength of radiated electromagnetic radiation is calculated using Wien’s Law: λmaxT = constant.

Electromagnetic Spectrum

  • The total energy across the electromagnetic spectrum emitted by objects varies at different temperatures.

Application

  • Concepts of energy transfer, energy transformation, temperature change, and change of state apply to climate change and global warming.

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