(D) According to Wien's displacement law,$\lambda_{m} T = \text{constant}$.Given:Initial temperature $T_1 = 1227 + 273 = 1500\,K$.Initial wavelength $

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(D) According to Wien's displacement law,$\lambda_{m} T = \text{constant}$.Given:Initial temperature $T_1 = 1227 + 273 = 1500\,K$.Initial wavelength $\lambda_1 = 5000\,\mathring{A}$.Final temperature $T_2 = T_1 + 1000 = 1500 + 1000 = 2500\,K$.Using the relation $\lambda_1 T_1 = \lambda_2 T_2$:$5000 \times 1500 = \lambda_2 \times 2500$.Solving for $\lambda_2$:$\lambda_2 = \frac{5000 \times 1500}{2500} = 2 \times 1500 = 3000\,\mathring{A}$.Thus,the maximum intensity will be at $3000\,\mathring{A}$.

Class 11 Physics 10-2.Heat Transfer Spectral Emissive Power and Wien's Displacement Law

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$A$ black body at $1227\,^oC$ emits radiations with maximum intensity at a wavelength of $5000\,\mathring{A}$. If the temperature of the body is increased by $1000\,^oC$,the maximum intensity will be at ....... $\mathring{A}$.

A
$4000$
B
$5000$
C
$6000$
D
$3000$

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10-2.Heat Transfer

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Spectral Emissive Power and Wien's Displacement Law

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$A$ black body at $1227\,^oC$ emits radiations with maximum intensity at a wavelength of $5000\,\mathring{A}$. If the temperature of the body is increased by $1000\,^oC$,the maximum intensity will be at ....... $\mathring{A}$.

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$A$ particular star (assuming it as a black body) has a surface temperature of about $5 \times 10^4 \ K$. The wavelength in nanometers at which its radiation becomes maximum is $(b = 0.0029 \ mK)$.

The energy distribution $E$ with the wavelength $\lambda$ for black body radiation at temperature $T \ K$ is shown in the figure. As the temperature is increased,the maxima will:

The Earth radiates in the infra-red region of the spectrum. The spectrum is correctly given by

The variation of radiant energy emitted by the Sun, the filament of a tungsten lamp, and a welding arc as a function of its wavelength is shown in the figure. Which of the following options is the correct match?

$A$ black body has a maximum wavelength of $\lambda_m$ at a temperature of $2000 \ K$. What will be the maximum wavelength at a temperature of $3000 \ K$?

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