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Question

Thermal radiation extends over the range of

The correct answer is

0.1 μ to 100 μ

Thermal Radiation Wavelength Range Explained

Thermal radiation is a type of electromagnetic radiation emitted by all matter that has a temperature above absolute zero ($0$ K). This happens because the atoms and molecules within an object are constantly in motion, and this thermal energy causes them to emit energy in the form of photons.

Understanding the Electromagnetic Spectrum for Thermal Emission

The electromagnetic spectrum is vast, containing different types of radiation based on their wavelengths, such as radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. Thermal radiation emitted by objects can span across several of these regions. The specific wavelengths where an object emits the most thermal radiation depend largely on its temperature. Objects at higher temperatures emit radiation at shorter wavelengths and higher frequencies.

Key Wavelengths in Thermal Radiation

The range commonly associated with thermal radiation covers a significant portion of the electromagnetic spectrum, particularly including infrared, visible light, and sometimes ultraviolet radiation. Considering the options provided, the most comprehensive and widely accepted range for thermal radiation is from $0.1$ micrometers ($\mu$m) to $100$ micrometers ($\mu$m). This range includes:

  • Near Ultraviolet (UV): The shorter end of the range, starting around $0.1\mu$m, includes some shorter UV wavelengths. These are emitted by extremely hot objects, such as stars.
  • Visible Light: This part of the spectrum, crucial for human vision, spans roughly $0.4\mu$m to $0.7\mu$m. Many objects, including the Sun and heated filaments, emit significantly in the visible range.
  • Infrared (IR): This is the most dominant region for thermal radiation at most common temperatures (like those found on Earth). The range from $0.7\mu$m up to $100\mu$m covers near-infrared, mid-infrared, and far-infrared wavelengths. Objects at room temperature, for instance, primarily emit thermal radiation in the far-infrared region, peaking around $10\mu$m.

Therefore, the $0.1\mu$m to $100\mu$m interval effectively captures the primary wavelengths where thermal emission is significant across a broad spectrum of object temperatures.

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Important Questions from Laws of Radiation

  1. Newton’s Law of cooling is an approximate form of

  2. _______ states that the emissivity of a body is equal to its absorptivity when the body remains in thermal equilibrium with its surroundings.
  3. The rate at which is energy is radiated by a black body at an absolute temperature is given by ______.

  4. Consider black body radiation in thermal equilibrium contained in a two-dimensional box. The dependence of the energy density on the temperature T is

  5. Dimensional formula of Stefan Boltzmann constant

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