A black body has maximum wavelength ${\lambda _m}$ at temperature $2000\; K$. Its corresponding wavelength at temperature $3000 \;K$ will be
AIPMT 2001, Easy
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(b)${\lambda _{{m_2}}} = \frac{{{T_1}}}{{{T_2}}} \times {\lambda _{{m_1}}}$$ = \frac{{2000}}{{3000}} \times {\lambda _{{m_1}}} = \frac{2}{3}{\lambda _{{m_1}}} = \frac{2}{3}{\lambda _m}$
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