Questions

# The lengths and radii of two rods made of same materials are in the ratio of 1:2 and 2:3 respectively, if the temperature difference between the ends for the two rods be the same, then in steady state, the amount of heat flowing through them will be in the ratio

## 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
1:3
b
4:3
c
8:9
d
3:2
NEW

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

detailed solution

Correct option is C

given l1l2=12K=constant= coefficient of thermal conductivityr1r2=23 ( here r is radius of the cross section)Δθ=constant= temperature differenceQ1Q2=?Power P=Qt=KA(θ1-θ2)l=KA∆θl=Kπr2∆θlQtαr2lPαr2lP1P2=r1r22×l2l1P1P2=232×21P1P2=49×21=89 P1P2=89 is ratio of amount of heat flow per second

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