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Expected GATE-2022 Geophysics Solution (15)

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 Q) What will happen to the maximum value of spectral energy density of a blackbody when its temperature is doubled? 

Solution:

(Thanks to Rajkumar, AKNU)

    From Stefan -Boltzmann Law

    E=\sigma T^{4}    

Where, Stefan Boltzmann constant is \sigma=5.67\times10^{-8}\frac{w}{m^{2}k^{4}}

if T= 2T 

 Then E=?

  E=\sigma (2T)^{4} =\sigma16T^{4}

So, Radiant Energy increases by 16 times.

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