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 areA. `2 : 1 : 1`B. `3 : 2 : 1`C. `2 : 2 : 1`D. `1 : 4: 9`

Three liquids `A,B` and `C` of masses `400 gm, 600 gm` and `800 gm` ar

1.	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 areA. `2 : 1 : 1`B. `3 : 2 : 1`C. `2 : 2 : 1`D. `1 : 4: 9`
Answer» Correct Answer - 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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