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A black body at $1227^{\circ} \mathrm{C}$ emits radiations with maximum intensity at a wavelength of $5000 Å$. If the temperature of the body is increased by $1000^{\circ} \mathrm{C}$, the maximum intensity will be observed at:
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Verified Answer
The correct answer is:
$3000 Å$
By wiens displacement law $\lambda_m$
$$
T=B
$$
UCwe have,
$$
\begin{aligned}
(5000)(1500) & =\lambda_m^{\prime}(1500+1000) \\
\Rightarrow \quad \lambda_m^{\prime} & =\frac{5000 \times 1500}{2500} \\
& =3000 Å .
\end{aligned}
$$
$$
T=B
$$
UCwe have,
$$
\begin{aligned}
(5000)(1500) & =\lambda_m^{\prime}(1500+1000) \\
\Rightarrow \quad \lambda_m^{\prime} & =\frac{5000 \times 1500}{2500} \\
& =3000 Å .
\end{aligned}
$$
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