Four identical rods which have thermally insulated lateral surface are joined at point O. Points A,B,C and D are connected to furnace maintained at constant tempertures. If the heat flows into the junction O from A at the rate of 2J/s and from B at 4J/s and flows out towards C is 8J/s. Chosse the correct relation.

Options

A. `T_(A)lt T_(0)`
B. `T_(0) lt T_(C)`
C. `T_(A) = T_(D)`
D. `T_(B) = T_(D)`

Answer

C

Explanation

As for steady state we use
`|(dQ)/(dt)|_(A)+|(dQ)/(dt)|_(B)+|(dQ)/(dt)|_(D) =|(dQ)/(dt)|_(C)`
`2+4+|(dQ)/(dt)|_(D) = 8`
`rArr`` |(dQ)/(dt)|_(D) = 2 J// s`
`rArr``T_(D) =T_(A)lt T_(B)`