Black holes in orbit around a normal star are detected gas into the black hole, which can reach temperatures greater than 10⁶K. Assuming that the infalling gas can be modelled as a black body radiator, then the wavelength of maximum power lies
Wavelength is the distance between two consecutive peaks or troughs of a wave. It is commonly used to describe waves, including light, sound, and electromagnetic waves. Wavelength is inversely proportional to frequency, meaning shorter wavelengths correspond to higher frequencies. It plays a key role in determining wave properties like color and energy.
Chapter 10 of Class 11 Physics discusses the thermal properties of matter. It covers concepts like temperature heat specific heat capacity and latent heat. The chapter explains the laws of thermodynamics heat transfer and the behavior of gases. It also includes discussions on the kinetic theory of gases and the ideal gas laws.
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We use Wien’s Displacement Law to find the wavelength of maximum power emission for a black body: ln
λₘₐₓ = b / T
where b is Wien’s constant, approximately 2.9 × 10⁻³ m·K, and T is the temperature in Kelvin. We know that the gas temperature is T > 10⁶ K, so we compute:
λₘₐₓ = (2.9 × 10⁻⁹ m) / (10⁶ K)
λₘₐₓ = 2.9 nm
Since X-rays have wavelengths in the range of 0.01 nm to 10 nm, the maximum emission falls in the X-ray region.
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