The radiation energy density per unit wavelength at a temperature $T$ has a maximum at a wavelength $\lambda _0$. At temperature $2T$, it will have a maximum at a wavelength
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(c) $\because \;{\lambda _m}T = {\lambda '_m}T'$ ==> ${\lambda _0}T = \lambda ' \times 2T$ ==> $\lambda ' = \frac{{{\lambda _0}}}{2}$
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