The area under the curve drawn between the spectral emissive power E- wavelength - at a given temperature T for a black body is proportional to

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Standard XII

Physics

Stefan-Boltzman's Law

The area unde...

Question

The area under the curve drawn between the spectral emissive power $E_{λ}$ , wavelength $λ$ at a given temperature $T$ for a black body is proportional to

T

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\frac{1}{T}

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T^{4}

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T^{5}

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Solution

The correct option is B $T^{4}$
The power emitted by a black body is given by Stefan's law:
$P = σ A e T^{4}$
for a black body $e = 1;$
$P = σ A T^{4}$
And Energy spectral power $= P = E_{λ}$
Which is proportional to $T^{4}$

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Similar questions

Q. The spectral emissive power

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Q. The spectral emissive power

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The spectral emissive power $E_{λ}$ for a body at temperature $T_{1}$ is plotted against the wavelength and area under the curve is found to be $A$ . At a different temperature $T_{2}$ the area`is found to be $9 A$ . Then $\frac{λ_{1}}{λ_{2}}$ is :

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The area under the curve drawn between the spectral emissive power Eλ, wavelength λ at a given temperature T for a black body is proportional to

The correct option is B T4The power emitted by a black body is given by Stefan's law:P=σAeT4for a black body e=1;P=σAT4And Energy spectral power =P=EλWhich is proportional to T4

The area under the curve drawn between the spectral emissive power $E_{λ}$ , wavelength $λ$ at a given temperature $T$ for a black body is proportional to

The correct option is B $T^{4}$
The power emitted by a black body is given by Stefan's law:
$P = σ A e T^{4}$
for a black body $e = 1;$
$P = σ A T^{4}$
And Energy spectral power $= P = E_{λ}$
Which is proportional to $T^{4}$