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Three Carnot engines operate in series b...

Three Carnot engines operate in series between a heat source at a temperature `T_(1)` and a heat sink at temperature `T_(4)` (see figure). There are two other reservoirs at temperature `T_(2) and T_(3)`, as shown, with `T_(1)gtT_(2)gtT_(3)gtT_(4)`. The three engines are equally efficient if :

A

`T_(2)=(T_(1)T_(4))^(1//2),T_(3)=(T_(1)^(2)T_(4))^(1//3)`

B

`T_(2)=(T_(1)^(2)T_(4))^(1//3),T_(3)=(T_(1)T_(4)^(2))^(1//3)`

C

`T_(2)=(T_(1)T_(4)^(2))^(1//3),T_(3)=(T_(1)^(2)T_(4))^(1//3)`

D

`T_(2)=(T_(1)^(3)T_(4))^(1//4),T_(3)=(T_(1)T_(4)^(3))^(1//4)`

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