Q105 / 160 · JIPMER 2010 · Physics

A black body has a wavelength of $\lambda$ at temperature 2000 K . Its corresponding wavelength at temperature 3000 K will be

  • Correct answer
    A
    $\frac{2 \lambda}{3}$
  • B
    $\frac{3 \lambda}{2}$
  • C
    $\frac{4 \lambda}{9}$
  • D
    $\frac{9 \lambda}{4}$

Solution

According to Wien's displacement law, or $\lambda_m T=\text { constant }$ or $\quad \frac{\lambda_2}{\lambda_1}=\frac{T_1}{T_2}$ $\therefore \quad \frac{\lambda_2}{\lambda}=\frac{2000}{3000}=\frac{2}{3}$ or $\quad \lambda_2=\frac{2}{3} \lambda$

Hence, the correct answer is option: 'A'.

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