$2\,kg$ of metal at $100\,^oC$ is cooled by $1\,kg$ of water at $0\,^oC$ . If specific heat capacity of metal is $\frac {1}{2}$ of specific heat capacity of water, final temperature of mixture would be

The temperature of a body on Kelvin scale is found to be $x\,K.$ When it is measured by Fahrenheit thermometer, it is found to be $x\,^oF$ , then the value of $x$ is

A bimetallic strip consists of metals $A$ and $B$ . It is mounted rigidly at the base as shown. The metal $A$ has a higher coefficient of expansion to that for metal $B$ . When bimetallic strip is placed in a cold bath it will

A rod is fixed between two points at $20\,^oC$ . The coefficient of linear expansion of material of rod is $1.1 \times 10^{-5}/\,^oC$ and Young's modulus is $1.2 \times 10^{11}\,N/m^2$. Find the stress developed in the rod if temperature of rod becomes $10\,^oC$

Mercury is of ten used in clinical thermometers. Which one of the following properties of mercury is not a reason for this?

$200\, g$ of a solid ball at $20\,^oC$ is dropped in an equal amount of water at $80\,^oC$. The resulting temperature is $60\,^oC$. This means that specific heat of solid is