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  • Give answer! - Properties of Solids and Liquids - JEE Main

If the temperature of the sun were to increase from T \: to \: 2T and  its radius from R \: to \: 2R, then the ratio of the radiant energy received on earth to what it was previously will be

  • Option 1)

    4

  • Option 2)

    16

  • Option 3)

    32

  • Option 4)

    64

 

Answers (1)

best_answer

 

As we have learned

Rate of Loss of Heat -

\frac{dQ}{dt}=A\epsilon\sigma(\theta^{4}-\theta_{0}^{4})

-

 

 

 

Power of radiation is given by 

P=e\sigma AT^{4}

P=e\sigma4\pi r^{4}T^{4}

\frac{P_{2}}{P_{1}}= \left(\frac{r_{2}}{r_{1}} \right )^{2}. \left(\frac{T_{2}}{T_{1}} \right )^{4}-(2)^{4}.2^{2}

Correct option is 4.


Option 1)

4

This is an incorrect option.

Option 2)

16

This is an incorrect option.

Option 3)

32

This is an incorrect option.

Option 4)

64

This is the correct option.

Posted by

SudhirSol

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