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Three liquids with masses m(1),m(2),m(3)...

Three liquids with masses `m_(1),m_(2),m_(3)` are thoroughly mixed. If their specific heats are `c_(1),c_(2),c_(3)` and their temperatures `T_(1),T_(2),T_(3)` respectively, then the temperature of the mixture is

A

`(c_(1)T_(1)+c_(2)T_(2)+c_(3)T_(3))/(m_(1)c_(1)+m_(2)c_(2)+m_(3)c_(3))`

B

`(m_(1)c_(1)T_(1)+m_(2)c_(2)T_(2)+m_(3)c_(3)T_(3))/(m_(1)c_(1)+m_(2)c_(2)+m_(3)c_(3))`

C

`(m_(1)c_(1)T_(1)+m_(2)c_(2)T_(2)+m_(3)c_(3)T_(3))/(m_(1)T_(1)+m_(2)T_(2)+m_(3)T_(3))`

D

`(m_(1)T_(1)+m_(2)T_(2)+m_(3)T_(3))/(c_(1)T_(1)+c_(2)T_(2)+c_(3)T_(3))`

Text Solution

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The correct Answer is:
B
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