(A) According to Wien's displacement law: $\lambda_m T = b$. Given $\lambda_m = 289.9 \, nm = 289.9 \times 10^{-9} \, m$ and $b = 2898 \, \mu m \cdot

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(A) According to Wien's displacement law: $\lambda_m T = b$. Given $\lambda_m = 289.9 \, nm = 289.9 \times 10^{-9} \, m$ and $b = 2898 \, \mu m \cdot K = 2898 \times 10^{-6} \, m \cdot K$. Calculating the temperature $T$: $T = \frac{b}{\lambda_m} = \frac{2898 \times 10^{-6}}{289.9 \times 10^{-9}} \approx 10^4 \, K$. Now,using the Stefan-Boltzmann law for intensity $E = \sigma T^4$: $E = (5.67 \times 10^{-8}) \times (10^4)^4$ $E = 5.67 \times 10^{-8} \times 10^{16} = 5.67 \times 10^8 \, W/m^2$.

Class 11 Physics 10-2.Heat Transfer Radiation by Stefan's Boltzmann Law

Difficult

$A$ star emits radiation with maximum intensity at a wavelength of $289.9 \, nm$. What is the intensity of the radiation emitted by the star? (Given: Stefan's constant $\sigma = 5.67 \times 10^{-8} \, W/m^2K^4$,Wien's constant $b = 2898 \, \mu m \cdot K$)

A
$5.67 \times 10^8 \, W/m^2$
B
$5.67 \times 10^{12} \, W/m^2$
C
$5.67 \times 10^{18} \, W/m^2$
D
$5.67 \times 10^{16} \, W/m^2$

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10-2.Heat Transfer

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Radiation by Stefan's Boltzmann Law

The wavelength of maximum intensity of radiation emitted by a star is $289.8 \ nm$. The radiation intensity of the star is (Stefan's constant $= 5.67 \times 10^{-8} \ W m^{-2} K^{-4}$, Wien's constant $b = 2898 \ \mu m \ K$).

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Two spheres of radii $4 \, m$ and $1 \, m$ have temperatures $2000 \, K$ and $4000 \, K$ respectively. Find the ratio of their emitted energy.

Difficult

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The radiant energy from the sun incident normally at the surface of the earth is $20 \, kcal/(m^2 \cdot min)$. What would have been the radiant energy incident normally on the earth,if the sun had a temperature twice of the present one? (in $kcal/(m^2 \cdot min)$)

MediumAIPMT 1998

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$A$ star emits radiation with maximum intensity at a wavelength of $289.9 \, nm$. What is the intensity of the radiation emitted by the star? (Given: Stefan's constant $\sigma = 5.67 \times 10^{-8} \, W/m^2K^4$,Wien's constant $b = 2898 \, \mu m \cdot K$)

Similar Questions

The wavelength of maximum intensity of radiation emitted by a star is $289.8 \ nm$. The radiation intensity of the star is (Stefan's constant $= 5.67 \times 10^{-8} \ W m^{-2} K^{-4}$, Wien's constant $b = 2898 \ \mu m \ K$).

If a black body emits $0.5 \ J$ of energy per second when it is at $27^{\circ} C$,then the amount of energy emitted by it when it is at $627^{\circ} C$ will be (in $J$)

Two spheres of radii $4 \, m$ and $1 \, m$ have temperatures $2000 \, K$ and $4000 \, K$ respectively. Find the ratio of their emitted energy.

The energy spectrum of a black body exhibits a maximum around a wavelength $\lambda$. The temperature of a black body is now changed such that the energy is maximum at wavelength $2\lambda/3$. The power radiated by the black body will now increase by a factor of

The radiant energy from the sun incident normally at the surface of the earth is $20 \, kcal/(m^2 \cdot min)$. What would have been the radiant energy incident normally on the earth,if the sun had a temperature twice of the present one? (in $kcal/(m^2 \cdot min)$)

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