Six identical uniform conducting rods are fixed to make a regular hexagon as shown. The ends A and C are maintained at constant temperature `2T_(0)` and `6 T_(0)`. After the steady state is reached. Pick up the correct relation between temperatures `T_(B),T_(B),T_(E)` and `T_(F)` of ends B,D,E and F respectively.

Options

A. `T_(D) gt T_(E) = T_(B) gt T_(F)`
B. `T_(D) = T_(B) gt T_(E) gt T_(F)`
C. `T_(D) gt T_(E) gt T_(F) = T_(B)`
D. `T_(B) gt T_(F) = T_(E) gt T_(D)`

Answer

A

Explanation

At stready temperature of ends B,D,E and F are
`T_(B)=4T_(0),T_(D)=5T_(0),T_(E)=4T_(0)` and
`T_(F)=3T_(0)`
`:. T_(D) gt T_(E) =T_(B) gt T_(F)`