$A$ perfect black body has a maximum wavelength $\lambda_m$ at a temperature of $2000 \, K$. What will be its maximum wavelength at a temperature of $3000 \, K$?
- A$\frac{3}{2} \lambda_m$
- B$\frac{2}{3} \lambda_m$
- C$\frac{16}{31} \lambda_m$
- D$\frac{81}{16} \lambda_m$
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