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The intensity of a black body can be calculated using Planck's law, which describes the spectral radiance of a black body at a given temperature ( T ) and wavelength ( \lambda ). The formula is given by:
[ I(\lambda, T) = \frac{2hc^2}{\lambda^5} \frac{1}{e^{\frac{hc}{\lambda kT}} - 1} ]
where ( I(\lambda, T) ) is the intensity, ( h ) is Planck's constant, ( c ) is the speed of light, and ( k ) is Boltzmann's constant. By substituting the desired temperature and wavelength into this formula, you can determine the intensity of the black body radiation at that wavelength.
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A blackbody curve relates the wavelength of emitted light to?
the intensity of radiation emitted at that wavelength, giving a characteristic spectral distribution that depends only on the temperature of the object emitting the light.
What does a blackbody spectrum look like?
A blackbody spectrum is smooth and continuous, showing a peak intensity at a specific wavelength that shifts to shorter wavelengths as temperature increases. It has a characteristic shape with most of the emitted radiation concentrated at shorter wavelengths.
What wavelength of maximum intensity does the Sun emit?
The Sun emits light in a broad range of wavelengths, peaking in the visible spectrum around 500 nanometers, which is green light. This peak intensity is a result of the Sun's temperature, which determines its blackbody radiation curve.
What are the characteristics and implications of blackbody radiation, and how do examples of blackbody radiation help us understand the concept better?
Blackbody radiation refers to the electromagnetic radiation emitted by a perfect absorber and emitter of energy. The characteristics of blackbody radiation include its continuous spectrum and dependence on temperature, as described by Planck's law. This concept has implications in understanding the thermal radiation emitted by objects and the energy transfer in various systems. Examples of blackbody radiation, such as the radiation emitted by stars or heated objects, help us understand the concept better by demonstrating how the intensity and wavelength distribution of the radiation depend on the temperature of the object. By studying these examples, we can gain insights into the behavior of thermal radiation and its role in various physical phenomena.
What is the equation for the Wavelength of maximum intensity?
The equation for the wavelength of maximum intensity (peak wavelength) can be calculated using Wien's Law, which is λmax = b / T, where λmax is the peak wavelength, b is a constant (2.897 x 10^-3 m*K), and T is the temperature in Kelvin.
What does the frequency at which a star's intensity is greatest depends directly on?
The frequency at which a star's intensity is greatest depends directly on its temperature. The hotter the star, the higher the frequency (and shorter the wavelength) at which its intensity peaks, as described by Wien's Law.
Using planck's law determine the wavelength of maximum emission intensity for blackbody with a temperature of 6000K?
The wavelength of maximum emission intensity can be found using Wien's displacement law, which states that λ_max * T = 2.898 x 10^-3 m*K. Plugging in the temperature of 6000K, we get λ_max = 2.898 x 10^-3 / 6000 = 4.83 x 10^-7 meters or 483 nm.
Does intensity affect the wavelength?
Intensity does not affect wavelength. Wavelength is determined by the frequency of the wave and remains constant in a given medium regardless of the intensity of the wave. Intensity, on the other hand, is related to the amplitude of the wave, which determines the brightness or loudness of the wave.
Which law governs the distribution of radiant energy over wavelength for a black body at fixed temperature?
The law that governs the distribution of radiant energy over wavelength for a black body at a fixed temperature is called Planck's law. It describes how the intensity of radiation emitted by a black body varies with wavelength at a specific temperature.
Why does planck curve decline after reaching the peak wavelength?
The Planck curve declines after reaching the peak wavelength because the intensity of radiation decreases as the wavelength increases. This is due to a decrease in the number of photons emitted at longer wavelengths.
20000 K What is the wavelength at which it radiates most strongly?
To find the wavelength at which an object radiates most strongly, you can use Wien's Law, which states that the wavelength of maximum intensity radiation (λmax) is inversely proportional to the temperature (T). In this case, for 20,000 K, the wavelength would be around 144.44 nanometers (nm).
What is the peak wavelength calculated using Wien's displacement law?
The peak wavelength calculated using Wien's displacement law is the wavelength at which the intensity of radiation emitted by a black body is highest. This peak wavelength is inversely proportional to the temperature of the black body, with higher temperatures resulting in shorter peak wavelengths.
