The rods of length $L_1$ and $L_2$ are made of materials whose coefficients of linear expansion are $\alpha _1$ and $\alpha _2$ respectively. If the difference between the two length is independent of temperatures, then

  • A

    $\frac{{{L_1}}}{{{L_2}}} = \frac{{{\alpha _1}}}{{{\alpha _2}}}$

  • B

    $\frac{{{L_1}}}{{{L_2}}} = \frac{{{\alpha _2}}}{{{\alpha _1}}}$

  • C

    $L_1^2{\alpha _1} = L_2^2{\alpha _2}$

  • D

    $\alpha _1^2{L_1} = d_2^2{L_2}$

Similar Questions

Two large holes are cut in a metal sheet. If this is heated, distances $AB$ and $BC$, (as shown)

One kilogram of ice at $0\,^oC$ is mixed with one kilogram of water at $80\,^oC$. Temperature of mixture is ........ $^oC$  (specific heat of water $= 4200\,J\,kg^{-1}\,K^{-1}$ and latent heat of ice $= 336\,KJ \,kg^{-1}$ )

Four rods of same material with different radii $r$ and length $l$ are used to connect two reservoirs of heat at different temperatures. Which one will conduct most heat ?

A bimetallic strip consists of metals $A$ and $B$ . It is mounted rigidly at the base as shown. The metal $A$ has a higher coefficient of expansion to that for metal $B$ . When bimetallic strip is placed in a cold bath it will

A solid cube having certain fixed melting and boiling points takes heat from some source. The variation of temperature $\theta$ of the cube with the heat supplied $Q$ is shown in the adjoining graph. The portion $BC$ of the graph represents the conversion of