State whether true or false :
When two liquids at different temperatures are mixed, the resultant temperature is found to be the mean of their temperatures then their densities must be equal.

True

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False

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Solution

The correct option is B False
We have two different liquids and mixed together and have final temperature as mean of their temperature their masses must be equal not densities.
Since,
$\Rightarrow m_{1} c_{1} (T_{f} - T_{1}) = m_{2} c_{2} (T_{2} . T_{f})$
If $\Rightarrow T_{f} = \frac{T_{1} + T_{2}}{2}$ then
$\Rightarrow m_{1} = m_{2}$
Hence, the statement is false.

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State whether true or false :When two liquids at different temperatures are mixed, the resultant temperature is found to be the mean of their temperatures then their densities must be equal.

The correct option is B FalseWe have two different liquids and mixed together and have final temperature as mean of their temperature their masses must be equal not densities. Since,⇒m1c1(Tf−T1)=m2c2(T2.Tf)If ⇒Tf=T1+T22 then⇒m1=m2Hence, the statement is false.

State whether true or false :
When two liquids at different temperatures are mixed, the resultant temperature is found to be the mean of their temperatures then their densities must be equal.