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Emission from a bodya.independent of temperatureb.varies with temperature onlyc.varies with frequency and temperature

Question

Emission from a bodya.independent of temperatureb.varies with temperature onlyc.varies with frequency and temperature

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Solution

The emission from a body varies with both frequency and temperature. This is based on Planck's law of black-body radiation, which states that the energy emitted by a black body per unit time per unit surface area per unit solid angle per unit frequency (or wavelength) is directly proportional to the frequency cubed and to the absolute temperature, and it also depends on the frequency of the radiation.

Here are the steps to understand this:

  1. The emission from a body is the energy that it radiates out into its surroundings. This can be in the form of light, heat, or other types of electromagnetic radiation.

  2. The frequency of this radiation is the number of waves that pass a fixed point in a given amount of time. Different frequencies correspond to different types of radiation - for example, low frequencies correspond to radio waves, while high frequencies correspond to x-rays.

  3. The temperature of the body is a measure of the average kinetic energy of the particles in the body. The higher the temperature, the faster the particles are moving, and the more energy they have.

  4. According to Planck's law, the energy emitted by a body increases as the frequency of the radiation increases. This is because higher-frequency waves carry more energy than lower-frequency waves.

  5. Planck's law also states that the energy emitted by a body increases as the temperature of the body increases. This is because higher temperatures mean that the particles in the body are moving faster and have more energy, which they can then radiate out as electromagnetic radiation.

  6. Therefore, the emission from a body varies with both the frequency of the radiation and the temperature of the body. It is not independent of these factors.

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