A black body has maximum wavelength _m at temperature 2000 K. Its… - Vidyadip

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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