Question

An object radiates at temperature $127^{\circ} C$. Temperature. at which radiates 16 times more is

• A. $254^{\circ} C$.
• B. $800^{\circ} C$.
• C. $527^{\circ} C$.
• D. $400^{\circ} C$.

Answer 1

Answer: (C)

$527^{\circ} C$.

Answer 2

We know, $H = \sigma \: \in A \: T^4$ or, $H \propto T^4$
$\therefore \, \, \, \, \frac{H}{H'} = \frac{T^4}{T'^4}$
Here , $T = 127^{\circ} C = 400 \, : K , H' = 16 \: H , T' = ?$
$\therefore \, \, \, \frac{1}{16} = \left( \frac{400}{T'} \right)^4$
or $\frac{400}{T'} = \frac{1}{2}$
or, $T' = 800 \: K = 527^{\circ} C$