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Two metal cubes A and B of same size are...

Two metal cubes A and B of same size are arranged as shown in Figure. The extreme ends of the combination are maintained at the indicated temperatures. The arrangement is thermally insulated. The coefficients of thermal conductivity of A and B are `300W//m ^@C and 200 W//m^@C,` respectively. After steady state is reached the temperature t of the interface will be ......

A

`45^(@)C`

B

`90^(@)C`

C

`30^(@)C`

D

`60^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
Temperature of interface `T = (K_(1)theta_(1)+K_(1)theta_(2))/(K_(1)+K_(2))`
`=(300xx100+200xx0)/(300+200) = 60^(@)C`.
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