Two straight metallic strips each of thickness $t$ and length $\ell$ are rivetted together. Their coefficients of linear expansions are $\alpha_1$ and $\alpha_2$. If they are heated through temperature $\Delta T$, the bimetallic strip will bend to form an arc of radius
$\left.t /\left\{\alpha_1+\alpha_2\right) \Delta T \right\}$
$t /\left\{\left(\alpha_2-\alpha_1\right) \Delta T\right\}$
$t\left(\alpha_1-\alpha_2\right) \Delta T$
$t\left(\alpha_2-\alpha_1\right) \Delta T$
At some temperature $T$, a bronze pin is a little large to fit into a hole drilled in a steel block. The change in temperature required for an exact fit is minimum when
Two rods $A$ and $B$ of identical dimensions are at temperature $30\,^oC$. If a heated upto $180\,^oC$ and $B$ upto $T\,^oC$, then the new lengths are the same. If the ratio of the coefficients of linear expansion of $A$ and $B$ is $4:3$, then the value of $T$ is........$^oC$
A thin rod having length $L_0$ at $0\,^oC$ and coefficient of linear expansion $\alpha $ has its two ends maintained at temperatures $\theta _1$ and $\theta _2$, respectively. Find its new length.
A brass wire $1.8\; m$ long at $27\,^{\circ} C$ is held taut with little tension between two rigid supports. If the wire is cooled to a temperature of $-39\,^{\circ} C ,$ what is the tension developed in the wire, if its diameter is $2.0 \;mm$ ? Co-efficient of Itnear expansion of brass $=2.0 \times 10^{-5}\; K ^{-1} ;$ Young's modulus of brass $=0.91 \times 10^{11} \;Pa$
The coefficient of apparent expansion of a liquid in a copper vessel is $C$ and in a silver vessel is $ S$. The coefficient of volume expansion of copper is $\gamma_c$. What is the coefficient of linear expansion of silver?