A black body at $200 K$ is found to exit maximum energy at a wavelength of $14\mu m$. When its temperature is raised to $1000K$ , the wavelength at which maximum energy is emitted is
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(c) ${\lambda _{{m_1}}}{T_1} = {\lambda _{{m_2}}}{T_2} \Rightarrow {\lambda _{{m_2}}} = \frac{{{\lambda _{{m_1}}}{T_1}}}{{{T_2}}} = \frac{{14 \times 200}}{{1000}} = 2.8\;\mu m$
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