Questions

# Three rods of same dimensions have thermal conductivities 3K, 2K and K, they are arranged as shown in the figure, then the temperature of the junction (T) in steady state is

## Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
a
10003C
b
20003 C
c
75∘c
d
503  ∘c
NEW

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is B

amount of heat flowing   from left to right at the junction is distributed between two rodsamount of heat flow in first rod is Q=2K(A)(T-50)tl+KAT-0tl=3K(A)(100-T)tl----(1)so T=2000c3  Q heat is distributed by the other two rods  k is coefficient of thermal conductivity  θ2,θ1 are temperatures  t is time  l is length of the rod

Similar Questions

Two rods of length ${\mathrm{d}}_{1}$ and ${\mathrm{d}}_{2}$ and coefficients of thermal conductivities ${\mathrm{K}}_{1}$ and ${\mathrm{K}}_{2}$ are kept touching each other. Both have the same area of cross-section. The equivalent of thermal conductivity is

Get your all doubts cleared from
Sri Chaitanya experts

+91