(B) According to Wien's displacement law, $\lambda_m T = \text{constant}$, which implies $\lambda_m \propto \frac{1}{T}$.Initial temperature $T_1 = 12

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(B) According to Wien's displacement law, $\lambda_m T = \text{constant}$, which implies $\lambda_m \propto \frac{1}{T}$.Initial temperature $T_1 = 1227 + 273 = 1500 \ K$.Initial wavelength $\lambda_1 = 5000 \mathring{A}$.Final temperature $T_2 = 1227 + 1000 + 273 = 2500 \ K$.Using the relation $\frac{\lambda_2}{\lambda_1} = \frac{T_1}{T_2}$:$\lambda_2 = \lambda_1 \times \frac{T_1}{T_2} = 5000 \times \frac{1500}{2500}$.$\lambda_2 = 5000 \times \frac{3}{5} = 3000 \mathring{A}$.

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

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

A
$2754.8$
B
$3000$
C
$3500$
D
$4000$

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10-2.Heat Transfer

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Spectral Emissive Power and Wien's Displacement Law

According to Wien's displacement law:

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The plots of intensity versus wavelength for three black bodies at temperatures $T_1$,$T_2$ and $T_3$ respectively are as shown. Their temperatures are such that

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Experimental investigations show that the intensity of solar radiation is maximum for a wavelength $480 \, nm$ in the visible region. Estimate the surface temperature of the sun. Given Wien's constant $b = 2.88 \times 10^{-3} \, mK$.

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The wavelength of maximum energy released during an atomic explosion was $2.93 \times 10^{-10} \ m$. Given that Wien's constant is $b = 2.93 \times 10^{-3} \ m \cdot K$,the maximum temperature attained must be of the order of:

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$A$ black body has a maximum wavelength $\lambda_{m}$ at a temperature of $2200 \ K$. Its corresponding wavelength at a temperature of $3300 \ K$ will be:

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

Similar Questions

According to Wien's displacement law:

The plots of intensity versus wavelength for three black bodies at temperatures $T_1$,$T_2$ and $T_3$ respectively are as shown. Their temperatures are such that

Experimental investigations show that the intensity of solar radiation is maximum for a wavelength $480 \, nm$ in the visible region. Estimate the surface temperature of the sun. Given Wien's constant $b = 2.88 \times 10^{-3} \, mK$.

The wavelength of maximum energy released during an atomic explosion was $2.93 \times 10^{-10} \ m$. Given that Wien's constant is $b = 2.93 \times 10^{-3} \ m \cdot K$,the maximum temperature attained must be of the order of:

$A$ black body has a maximum wavelength $\lambda_{m}$ at a temperature of $2200 \ K$. Its corresponding wavelength at a temperature of $3300 \ K$ will be:

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