If the temperature of the body is increased by 10 %, the percentage increase in the emitted indication will be

Question

If the temperature of the body is increased by 10 %, the percentage increase in the emitted indication will be (A)  46 %  (B)  40 %  (C)  30 %  (D)  80 %

Tardigrade Admin · Accepted Answer

Q propto T4 ⇒ (Q1/Q2)=((T1/T2))4 If T1=T then T2=T+(10/100) T=1.1 T (Q1/Q2)=((T/1.1 T))4 ⇒ Q2=1.46 Q1 % increase in energy =((Q2-Q1/Q1))

Q. If the temperature of the body is increased by $10%,$ the percentage increase in the emitted indication will be

$46%$

$40%$

$30%$

$80%$

$Q \propto T^{4} \Rightarrow \frac{Q _{1}}{Q _{2}} = (\frac{T _{1}}{T _{2}})^{4}$
If $T_{1} = T$ then $T_{2} = T + \frac{10}{100} T = 1.1 T$
$\frac{Q _{1}}{Q _{2}} = (\frac{T}{1.1 T})^{4}$
$\Rightarrow Q_{2} = 1.46 Q_{1}$
$%$ increase in energy
$= (\frac{Q _{2} - Q _{1}}{Q _{1}})$

Q. If the temperature of the body is increased by 10%, the percentage increase in the emitted indication will be

46%

40%

30%

80%