MCQ
A black body has maximum wavelength $\lambda_m$ at temperature $2000 K$. Its corresponding wavelength at temperature $3000 K$ will be
  • A
    $\frac{3}{2} \lambda_m$
  • $\frac{2}{3} \lambda_m$
  • C
    $\frac{4}{9} \lambda_m$
  • D
    $\frac{9}{4} \lambda_m$

Answer

Correct option: B.
$\frac{2}{3} \lambda_m$
(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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