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Ideal Gas Law

A black body ...

Question

A black body radiates energy at the rate of $E w a t t / m$ $^{2}$ at a high temperature $T^{o} K$ when the temperature is reduced to ${[\frac{T}{2}]}^{o} K$ Then radiant energy is

4 E

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16 E

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\frac{E}{4}

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\frac{E}{16}

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Solution

The correct option is D $\frac{E}{16}$
We know that from stefans-boltzman law: $E \propto T^{4}$
if temperature will be reduces half form the initial value, then
$E_{1} \propto ({\frac{T}{2})}^{4}$
$E_{1} \propto \frac{E}{16}$

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A black body radiates energy at the rate of E watt/m2 at a high temperature ToK when the temperature is reduced to [T2]oK Then radiant energy is

The correct option is D E16We know that from stefans-boltzman law: E∝T4if temperature will be reduces half form the initial value, thenE1∝(T2)4E1∝E16

A black body radiates energy at the rate of $E w a t t / m$ $^{2}$ at a high temperature $T^{o} K$ when the temperature is reduced to ${[\frac{T}{2}]}^{o} K$ Then radiant energy is

The correct option is D $\frac{E}{16}$
We know that from stefans-boltzman law: $E \propto T^{4}$
if temperature will be reduces half form the initial value, then
$E_{1} \propto ({\frac{T}{2})}^{4}$
$E_{1} \propto \frac{E}{16}$