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Two rectangular blocks, having identical...

Two rectangular blocks, having identical dimensions, can be arranged either in configuration I or in configuration II as shown in the figure. One of the blocks has thermal conductivity k and the other 2 k. The temperature difference between the ends along the x-axis is the same in both the configurations. It takes 9 s to transport a certain amount of heat from the hot end to the cold end in the configuration I. The time to transport the same amount of heat in the configuration II is :

A

`2.0 s`

B

`3.0s`

C

`4.5 s`

D

`6.0s`

Text Solution

Verified by Experts

The correct Answer is:
A
In configuration `1` equivalent thermal resistance is `(3R)/(2)`
In configuration `2` equivalent thermal resistance is `(R )/(3)`
Thermal Resistance `prop` time taken by heat flow from high temperature to low temperature
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