Question

If temperature of ideal black body increased by 10 percent then percentage increse in quantity

Answer 1

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Answer 2

The Increase is by 46.4%

Explanation:

We know that,

Radiation emitted  

$E\propto T^4$

When temperature is increased by 10%, the new radiation emitted will be  

$E'\propto (1.1T)^4$

$E'\propto1.464\ T^4$

Percentage increased = $\frac {E'-E}{E} \times 100$

= $\frac {1.464T^4-T^4}{T^4} \times 100$

= 46.4%