The rods of length $L_1$ and $L_2$ are made of materials whose coefficients of linear expansion are $\alpha _1$ and $\alpha _2$. If the difference between the two lengths is independent of temperatures
$\left( {\frac{{{L_1}}}{{{L_2}}}} \right) = \left( {\frac{{{\alpha _1}}}{{{\alpha _2}}}} \right)$
$\frac{{{L_1}}}{{{L_2}}} = \frac{{{\alpha _2}}}{{{\alpha _1}}}$
$L_1^2{\alpha _1} = L_2^2{\alpha _2}$
$\alpha _1^2{L_1} = \alpha _2^2{L_2}$
A constant volume gas thermometer shows pressure reading of $50 \,cm$ and $90 \,cm$ of mercury at $0^{\circ} C$ and $100^{\circ} C$ respectively. When the pressure reading is $60 \,cm$ of mercury, the temperature is ......... $^{\circ} C$
The value of coefficient of volume expansion of glycerin is $5 \times 10^{-4}\, K^{-1}$. The fractional change in the density of glycerin for a rise of $40\,^oC$ in its temperature, is
On a new scale of temperature (which is linear) and called the $W$ scale, the freezing and boiling points of water are $39\,^oW$ and $239\,^oW$ respectively. What will be the temperature on the new scale, corresponding to a temperature of $39\,^oC$ on the Celsius scale ? ............. $^\circ \mathrm{W}$
$1\, kg$ of ice at $-10\,^oC$ is mixed with $4.4\, kg$ of water at $30\,^oC$. The final temperature of mixture is ........ $^oC$ (specific heat of ice is $2100\, J/kg/k$)
Six identical conducting rods are joined as shown. The ends $A$ and $D$ are maintained at $200\,^oC$ and $20\,^oC$ respectively. No heat is lost to surroundings. The temperature of the junction $C$ will be ........ $^oC$