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  • An object is at a temperature of 400oC. At what temperature would it radiate energy twice as fast?Option: 1 200oC</div

An object is at a temperature of 400oC. At what temperature would it radiate energy twice as fast?

Option: 1

200oC


Option: 2

200K


Option: 3

800oC


Option: 4

800K


Answers (1)

best_answer

As we have learnt,

 

Stefan's Law -

E\;\alpha\; \theta^{4}

\Rightarrow\ E=\sigma\theta^{4}

- wherein

\sigma=Stefan's constant

\sigma=5.67\times 10^{-8}W/m^{2}K^{4}

 

 \left(\frac{E_2}{E_1} \right ) = \left(\frac{T_2}{T_1} \right )^4

or

\left(\frac{2}{1} \right ) = \left(\frac{T}{400+273} \right )^4

or T = 2^{\frac{1}{4}}\cdot 673 = 800K

 

Posted by

Rakesh

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