BigJuicyPickle7299 BigJuicyPickle7299
  • 16-10-2019
  • Chemistry
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A common radio wavelength observed coming from astronomical objects is 21 cm. What temperature is associated with this radiation?

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dsdrajlin
dsdrajlin dsdrajlin
  • 17-10-2019

Answer:

The temperature associated with this radiation is 0.014K.

Explanation:

If we assume that the astronomical object behaves as a black body, the relation between its wavelength and temperature is given by Wien's displacement law.

[tex]\lambda_{max}=\frac{b}{T}[/tex]

where,

λmax is the wavelength at the peak of emission

b is Wien's displacement constant (2.89×10⁻³ m⋅K)

T is the absolute temperature

For a wavelength of 21 cm,

[tex]T=\frac{b}{\lambda _{max} } = \frac{2.89 \times 10^{-3} m.K  }{0.21m} =0.014K[/tex]

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