(D) According to the Stefan-Boltzmann Law, the rate of radiation $P$ (or $E$) is given by $P = e \sigma A T^{4}$, where $A = 4 \pi r^{2}$.For sphere $

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(D) According to the Stefan-Boltzmann Law, the rate of radiation $P$ (or $E$) is given by $P = e \sigma A T^{4}$, where $A = 4 \pi r^{2}$.For sphere $S_{1}$: $E = e \sigma (4 \pi R^{2}) T^{4}$.For sphere $S_{2}$: $E' = e \sigma (4 \pi (3R)^{2}) (T/3)^{4}$.$E' = e \sigma (4 \pi \cdot 9R^{2}) (T^{4} / 81)$.$E' = e \sigma (4 \pi R^{2}) T^{4} \cdot (9 / 81)$.$E' = E \cdot (1 / 9) = E/9$.

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

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Two spheres $S_{1}$ and $S_{2}$ have radii $R$ and $3R$ and temperatures $T$ and $T/3$ respectively. If they are coated with a material of the same emissivity, and the rate of radiation of $S_{1}$ is $E$, then the rate of radiation of $S_{2}$ is:

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A
$E/6$
B
$E/3$
C
$9E$
D
$E/9$

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10-2.Heat Transfer

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Radiation by Stefan's Boltzmann Law

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Two spheres $S_{1}$ and $S_{2}$ have radii $R$ and $3R$ and temperatures $T$ and $T/3$ respectively. If they are coated with a material of the same emissivity, and the rate of radiation of $S_{1}$ is $E$, then the rate of radiation of $S_{2}$ is:

Similar Questions

$A$ thin steel square plate of side $10 \ cm$ is heated. The rate of energy emission from the heated plate is $1134 \ W$. What is the temperature of the plate in $K$? (Assume emissivity $\varepsilon = 1$ and $\sigma = 5.67 \times 10^{-8} \ W \ m^{-2} \ K^{-4}$)

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 adjoining diagram shows the spectral energy density distribution $E_\lambda$ of a black body at two different temperatures. If the areas under the curves are in the ratio $16 : 1$,the value of temperature $T$ is ......... $K$. (in $,000$)

$A$ solid sphere at a temperature $T \ K$ is cut into two hemispheres. The ratio of energies radiated by one hemisphere to the whole sphere per second is

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