Equal temperature difference exists between the ends of two metallic rods 1 and 2of equal length. Their thermal conduetivities are `K_(1)` and `K_(2)` and cross sectional areas are respectively `A_(1)` and `A_(2)`. The condition for equal rate of heat transfer will be-

Options

A. `K_(1)A_(2) =K_(2)A_(1)`
B. `k_(1)^(2)A_(2)=k_(2)^(2)A_(1)`
C. `K_(1)A_(1) =K_(2)A_(2)`
D. `K_(1)A_(1)^(2)=K_(2)A_(2)`

Answer

C

Explanation

`(K_(1)A_(1)Delta0)/(l)=(K_(2)A_(2)Delta0)/(l)`
`rArr K_(1)A_(1)=K_(2)A_(2)`