If the volume of a block of metal changes by $0.12\%$ when it is heated through $20^o\,C$, the coefficient of linear expansion (in per $^oC^{-1}$) of the metal is :-

Three rods of equal length $l$  are joined to form an equilateral triangle $PQR.$  $O$  is the mid point of $PQ.$  Distance $OR$  remains same for small change in temperature. Coefficient of linear expansion for $PR$ and $RQ$  is same, $i.e., \alpha _2$  but that for $PQ$  is $\alpha _1.$ Then

$0^o C$ $1\ gm$ ice is mixed with $100^o C$ vapor then what wiil be the final temperature ($^o C$)? 

The temperature of a body on Kelvin scale is found to be $X\;K$. When it is measured by a Fahrenheit thermometer, it is found to be ${X^0}F$. Then $X$ is

The coefficient of apparent expansion of liquid when determined using two different vessels $A$ and $B$ are $\gamma _1$ and $\gamma _2$ respectively. If the coefficient of linear expansion of the vessel $A$ is $\alpha $, then coefficient of linear expansion of $B$

A glass flask of volume one litre at $0\,^oC$ is filled, level full of mercury at this temperature. The flask and mercury are now heated to $100\,^oC$. How much mercury will spill out, if coefficient of volume expansion of mercury is $1.82 \times 10^{-4}/^oC$ and linear expansion of glass is $0.1 \times 10^{-4}/^oC$ ? ............ $\mathrm{cc}$