Two bodies $P$ and $Q$ have thermal emissivities of $\varepsilon_P$ and $\varepsilon_Q$ respectively. Surface areas of these bodies are same and the total radiant power emitted is also at the same rate. If the temperature of $P$ is $\theta_P$ Kelvin,then the temperature of $Q$ i.e.,$\theta_Q$ is:

  • A
    ${\left( {\frac{{{\varepsilon _Q}}}{{{\varepsilon _P}}}} \right)^{1/4}}\,{\theta _P}$
  • B
    ${\left( {\frac{{{\varepsilon _P}}}{{{\varepsilon _Q}}}} \right)^{1/4}}\,{\theta _P}$
  • C
    ${\left( {\frac{{{\varepsilon _Q}}}{{{\varepsilon _P}}}} \right)^{1/4}}\,\, \times \,\frac{1}{{{\theta _P}}}$
  • D
    ${\left( {\frac{{{\varepsilon _Q}}}{{{\varepsilon _P}}}} \right)^4}\,\,{\theta _P}$

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