MCQOPTIONS
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| 1. |
Three liquids of equal volumes are thoroughly mixed. If their specific heats are \[{{\operatorname{s}}_{1}},\,\,{{s}_{2}},\,\,{{s}_{3}}\] and their temperatures \[{{\theta }_{1}},{{\theta }_{2}},{{\theta }_{3}}\] and their masses \[{{\operatorname{m}}_{1}},\,\,{{m}_{2}},\,\,{{m}_{3}}\] respectively, then the final temperature of the mixture is |
| A. | \[\frac{{{s}_{1}}{{\theta }_{1}}+{{s}_{2}}{{\theta }_{2}}+{{s}_{3}}{{\theta }_{3}}}{{{m}_{1}}{{s}_{1}},\,\,{{m}_{2}}{{s}_{2}},\,\,{{m}_{3}}{{s}_{3}}}\] |
| B. | \[\frac{{{m}_{1}}{{s}_{1}}{{\theta }_{1}}+{{m}_{2}}{{s}_{2}}{{\theta }_{2}}+{{m}_{3}}{{s}_{3}}{{\theta }_{3}}}{{{m}_{1}}{{s}_{1}},\,\,{{m}_{2}}{{s}_{2}},\,\,{{m}_{3}}{{s}_{3}}}\] |
| C. | \[\frac{{{m}_{1}}{{s}_{1}}{{\theta }_{1}}+{{m}_{2}}{{s}_{2}}{{\theta }_{2}}+{{m}_{3}}{{s}_{3}}{{\theta }_{3}}}{{{m}_{1}}{{\theta }_{1}},\,\,{{m}_{2}}{{\theta }_{2}},\,\,{{m}_{3}}{{\theta }_{3}}}\] |
| D. | \[\frac{{{m}_{1}}{{\theta }_{1}}+{{m}_{2}}{{\theta }_{2}}+{{m}_{3}}{{\theta }_{3}}}{{{\operatorname{s}}_{1}}{{\theta }_{1}},\,\,{{\operatorname{s}}_{2}}{{\theta }_{2}},\,\,{{\operatorname{s}}_{3}}{{\theta }_{3}}}\] |
| Answer» C. \[\frac{{{m}_{1}}{{s}_{1}}{{\theta }_{1}}+{{m}_{2}}{{s}_{2}}{{\theta }_{2}}+{{m}_{3}}{{s}_{3}}{{\theta }_{3}}}{{{m}_{1}}{{\theta }_{1}},\,\,{{m}_{2}}{{\theta }_{2}},\,\,{{m}_{3}}{{\theta }_{3}}}\] | |