A black body has maximum wavelength \( \lambda_{m} \) at temperatur...

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A black body has maximum wavelength \( \lambda_{m} \) at temperature \( 2000 \mathrm{~K} \). Its corresponding wavelength at temperature
\( \mathrm{P} \) \( 3000 \mathrm{~K} \) will be
[CBSE PMT 2001; Kerala PET 2005]
W
(a) \( \frac{3}{2} \lambda_{m} \)
(b) \( \frac{2}{3} \lambda_{m} \)
(c) \( \frac{4}{9} \lambda_{m} \)
(d) \( \frac{9}{4} \lambda_{m} \)
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