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Three liquids A,B and C of masses 400 gm...

Three liquids `A,B` and `C` of masses `400 gm, 600 gm` and `800 gm` are at `30^@C, 40^@C` and `50^@C` respectively. When `A` and `B` are mixed resultant temperature is `36^@C` when `B` and `C` are mixed resultant temperature is `44^@C` Then ration of their specific heats are

A

`2 : 1 : 1`

B

`3 : 2 : 1`

C

`2 : 2 : 1`

D

`1 : 4: 9`

Text Solution

Verified by Experts

The correct Answer is:
C
When `A,B` are mixed
`m_(A)S_(A) (Delta theta)_(A) = m_(B)S_(B)(Delta theta)_(B)`….(i)
When `B,C` are mixed
`m_(B) S_(B)(Delta theta)_(B) = m_(C) S_(C)` …(ii)
From (i) and (ii) we get relation between `S_(A)` and `S_(C)`.
When `A` and `C` are mixed
`m_(A)S_(A) (Delta theta)_(A) = m_(C) S_(C) (Delta theta)_(C)`.
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