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Standard XII

Physics

Blackbody

A black body ...

Question

A black body at a temperature $T$ radiates energy at the rate of $E W m^{- 2}$ . If the temperature is decreased by $(T / 2)$ the energy radiated will be:

E / 4

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E / 16

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E / 8

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E / 32

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Solution

The correct option is B $E / 16$
We know that: $E \propto T^{4}$

$\Rightarrow \frac{E^{'}}{E} = \frac{{(T / 2)}^{4}}{T^{4}} = \frac{1}{2^{4}} = \frac{1}{16}$

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A black body at a temperature T radiates energy at the rate of E Wm−2. If the temperature is decreased by (T/2) the energy radiated will be:

The correct option is B E/16We know that: E∝T4⇒E′E=(T/2)4T4=124=116

A black body at a temperature $T$ radiates energy at the rate of $E W m^{- 2}$ . If the temperature is decreased by $(T / 2)$ the energy radiated will be:

The correct option is B $E / 16$
We know that: $E \propto T^{4}$

$\Rightarrow \frac{E^{'}}{E} = \frac{{(T / 2)}^{4}}{T^{4}} = \frac{1}{2^{4}} = \frac{1}{16}$