A black body has maximum wavelength \[{{\lambda }_{m}}\] at temperature 2000 K. Its corresponding wavelength at temperature 3000 K will be [CBSE PMT 2001; Kerala PET 2005]

• A.            \[\frac{3}{2}{{\lambda }_{m}}\]                                       
• B.            \[\frac{2}{3}{{\lambda }_{m}}\]
• C.            \[\frac{4}{9}{{\lambda }_{m}}\]                                       
• D.            \[\frac{9}{4}{{\lambda }_{m}}\]