A black body has wavelength $\lambda_m$ corresponding to maximum energy at 2000 K. Its wavelength corresponding to maximum energy at 3000 K will be : -

Question

( A ) $\frac{16}{81} \lambda_m$
( B ) $\frac{2}{3} \lambda_m$
( C ) $\frac{81}{16} \lambda_m$
( D ) $\frac{3}{2} \lambda_m$