Question

The temperature of the body is increased from- ${73}^{o}C$ to ${327}^{o}C$, the ratio of energy emitted per second is:

• A. $1:3$
• B. $1:81$
• C. $1:27$
• D. $1:9$

Answer 1

Answer: (B)

$1:81$

$\frac{E_1}{E_2}={\left(\frac{T_1}{T_2}\right)}^4={\left(\frac{327+273}{-73+273}\right)}^4\Rightarrow \frac{E_1}{E_2}={\left(\frac{600}{200}\right)}^4=(3{)}^4\Rightarrow 1:81::E_2:E_1$