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10-1.Thermometry, Thermal Expansion and Calorimetry
medium
A liquid of mass $M$ and specific heat $S$ is at a temperature $2t$. If another liquid of thermal capacity $1.5$ times, at a temperature of $\frac{t}{3}$ is added to it, the resultant temperature will be
A
$\frac{4}{3}t$
B
$t$
C
$\frac{t}{2}$
D
$\frac{2}{3}t$
Solution
(b) ${\theta _{mix}} = \frac{{{m_1}{c_1}{\theta _1} + {m_2}{c_2}{\theta _2}}}{{{m_1}{c_1} + {m_2}{c_2}}}$$ = \frac{{m\,s\,(2t) + 1.5\,(m\,s) \times \frac{t}{3}}}{{m\,s + 1.5\,(m\,s)}} = t$
Standard 11
Physics
