The density of water at $20^oC$ is $0.998\, gm/cm^3$ and at $40^oC$ is $0.992\, gm/cm^3$. The mean coefficient of cubical expansion (in per $^oC$) is :-

The amount of heat required to change $1\ gm (0^o C)$ of ice into water of $100^o C$, is ............ $\mathrm{cal}$

Two rods, one made of aluminium and the other made of steel, having initial lengths $l_1$  and $l_2$ respectively are connected together to form a single rod of length $(l_1 + l_2)$. The coefficients of linear expansion for aluminium and steel of $\alpha_1$ and $\alpha_2$ respectively. If the length of each rod increases by the same amount when  their temperature is raised by $t^oC$, then the ratio $l_1/(l_1 + l_2)$ :-

$50\,g$ of copper is heated to increase is temperature by $10\,^oC$. If the same quantity of heat is given to $10\,g$ of water, the rise in its temperature is  ........ $^oC$ (Specific heat of copper $= 420\,J-kg^{-1}\,^oC^{-1}$ )

Two thermometers $X$ and $Y$ have ice points marked at $15^o$ and $25^o$ and steam points marked as $75^o$ and $125^o$ respectively. When thermometer $X$ measures the temperature of a bath as $60^o$ on it,  ........ $^oC$ would thermometer $Y$ read when it is used to measure the temperature of the same bath ?

A centigrade and a Fahrenheit thermometer are dipped in boiling water. The water temp is lowered until the Fahrenheit temp. register $140^o$. What is the fall in the temperature as registered by centigrade thermometer ....... $^oC$