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. Thefirst and
third plates are maintained at temperatures 27 and 37 respectively. The temperature of the middle (i.e. second) plate under steady state condition is

A

$$\left(\frac{65}{2}\right)^{\frac{1}{4}}T$$

B

$$\left(\frac{97}{4}\right)^{\frac{1}{4}}T$$

C

$$\left(\frac{97}{2}\right)^{\frac{1}{4}}T$$

D

$$\left({97}\right)^{\frac{1}{4}}T$$