A rod of length $10\ meter$ at $0\,^oC$ having expansion coefficient $\alpha = (2x^2 + 1) \times 10^{-6}\,C^{-1}$ where $x$ is the distance from one end of rod. The length of rod at $10\,^oC$ is
$11.067$
$10.067$
$10.0068$
$11.0068$
On which of the following four processes, does the functioning of a bimetallic strip depends
$(i)$ Radiation
$(ii)$ Energy conversion
$(iii)$ Melting
$(iv)$ Thermal expansion
A circular disc is shown. On heating, $d_1$ increases by $0.3\%$ , then $d_2$ will
Coefficient of linear expansion of brass and steel rods are $\alpha_1$ and $\alpha_2$. Lengths of brass and steel rods are $l_1$ and $l_2$ respectively. If $\left(l_2-l_1\right)$ is maintained same at all temperatures, which one of the following relations holds good?
Draw graph of $\alpha _V$ temperature.
A steel rail of length $5\,m$ and area of cross-section $40\,cm^2$ is prevented from expanding along its length while the temperature rises by $10\,^oC$. If coefficient of linear expansion and Young's modulus of steel are $1.2\times10^{-5}\, K^{-1}$ and $2\times10^{11}\, Nm^{-2}$ respectively, the force developed in the rail is approximately