(D) The energy density $u$ of blackbody radiation at temperature $T$ is given by $u = aT^4$, where $a$ is the radiation constant. The total energy $E$

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(D) The energy density $u$ of blackbody radiation at temperature $T$ is given by $u = aT^4$, where $a$ is the radiation constant. The total energy $E$ in a container of volume $V$ is $E = uV = aVT^4$. The heat required to increase the temperature from $T_1$ to $T_2$ is $\Delta E = aV(T_2^4 - T_1^4)$. Since the volume $V$ of the container is not provided in the problem statement, it is impossible to calculate the exact numerical value of the heat required. Therefore, the information provided is insufficient.

Class 11 Physics 10-2.Heat Transfer Radiation (General, Kirchoff's law, Black body, Prevost's Theory)

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The temperature of a blackbody radiation enclosed in a container of volume $V$ is increased from $100^{\circ} C$ to $1000^{\circ} C$. The heat required in the process is

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A
$4.79 \times 10^{-4} \text{ cal}$
B
$9.21 \times 10^{-5} \text{ cal}$
C
$2.17 \times 10^{-4} \text{ cal}$
D
Information not sufficient

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10-2.Heat Transfer

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Radiation (General, Kirchoff's law, Black body, Prevost's Theory)

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If between wavelength $\lambda$ and $\lambda + d\lambda$,$e_\lambda$ and $a_\lambda$ are the emissive and absorptive powers of a body,respectively,and $E_\lambda$ is the emissive power of a perfectly black body,then according to Kirchhoff's law,which of the following is true?

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$Assertion :$ $A$ body that is a good radiator is also a good absorber of radiation at a given wavelength.
$Reason :$ According to Kirchhoff's law,the absorptivity of a body is equal to its emissivity at a given wavelength.

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The temperature of a blackbody radiation enclosed in a container of volume $V$ is increased from $100^{\circ} C$ to $1000^{\circ} C$. The heat required in the process is

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Half part of an ice block is covered with a black cloth and the rest half is covered with a white cloth,and then it is kept in sunlight. After some time,the clothes are removed to observe the melted ice. Which of the following statements is correct?

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If between wavelength $\lambda$ and $\lambda + d\lambda$,$e_\lambda$ and $a_\lambda$ are the emissive and absorptive powers of a body,respectively,and $E_\lambda$ is the emissive power of a perfectly black body,then according to Kirchhoff's law,which of the following is true?

$Assertion :$ $A$ body that is a good radiator is also a good absorber of radiation at a given wavelength.$Reason :$ According to Kirchhoff's law,the absorptivity of a body is equal to its emissivity at a given wavelength.

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$Assertion :$ $A$ body that is a good radiator is also a good absorber of radiation at a given wavelength.
$Reason :$ According to Kirchhoff's law,the absorptivity of a body is equal to its emissivity at a given wavelength.