- Home
- Standard 11
- Physics
10-2.Transmission of Heat
medium
Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very high thermal conductivity. The first and third plates are maintained at temperatures $2T$ and $3T$ respectively. The temperature of the middle (i.e. second) plate under steady state condition is
A
$\left (\frac{65}{2} \right )^{1/4} T$
B
$\left (\frac{97}{4} \right )^{1/4} T$
C
$\left (\frac{97}{2} \right )^{1/4} T$
D
$(97)^{1/4}T$
Solution
For steady state, $P_{\text {net received }}=P_{\text {rem emitted }}$
$\sigma A\left(\theta^{4}-(2 T)^{4}\right)=\sigma A\left[(3 T)^{4}-\theta^{4}\right]$
$\Rightarrow \theta^{4}-16 T^{4}=81 T^{4}-\theta^{4} \Rightarrow \theta=\left(\frac{97}{2}\right)^{1 / 4} T$
Standard 11
Physics
Similar Questions
hard
