Difficult
$A$ bimetallic strip is formed out of two identical strips,one of copper and the other of brass. The coefficients of linear expansion of the two metals are $\alpha_C$ and $\alpha_B$. On heating,the temperature of the strip increases by $\Delta T$ and the strip bends to form an arc of radius of curvature $R$. Then $R$ is:
- AProportional to $\Delta T$
- BInversely proportional to $\Delta T$
- CInversely proportional to $|\alpha_B - \alpha_C|$
- DBoth $(B)$ and $(C)$
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Similar Questions
If the volume of a block of metal changes by $0.12\%$ when it is heated through $20^{\circ}C$,the coefficient of linear expansion (in per $^{\circ}C^{-1}$) of the metal is :-
Difficult
View SolutionThe density of a substance at $0 \, ^\circ C$ is $10 \, g/cm^3$ and at $100 \, ^\circ C$ is $9.7 \, g/cm^3$. The coefficient of linear expansion of the substance is ..... $^\circ C^{-1}$.
Medium
View SolutionDraw the graph of the coefficient of volume expansion $(\alpha_V)$ versus temperature $(T)$ for a solid.
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View Solution$A$ student records the initial length $l$,change in temperature $\Delta T$ and change in length $\Delta l$ of a rod as follows:
$S$.No. $l (m)$ $\Delta T (^{\circ}C)$ $\Delta l (m)$ $(1)$ $2$ $10$ $4 \times 10^{-4}$ $(2)$ $1$ $10$ $4 \times 10^{-4}$ $(3)$ $2$ $20$ $2 \times 10^{-4}$ $(4)$ $3$ $10$ $6 \times 10^{-4}$
If the first observation is correct,what can you say about observations $(2)$,$(3)$ and $(4)$?
| $S$.No. | $l (m)$ | $\Delta T (^{\circ}C)$ | $\Delta l (m)$ |
|---|---|---|---|
| $(1)$ | $2$ | $10$ | $4 \times 10^{-4}$ |
| $(2)$ | $1$ | $10$ | $4 \times 10^{-4}$ |
| $(3)$ | $2$ | $20$ | $2 \times 10^{-4}$ |
| $(4)$ | $3$ | $10$ | $6 \times 10^{-4}$ |
If the first observation is correct,what can you say about observations $(2)$,$(3)$ and $(4)$?
Medium
View Solution$A$ rail track made of steel having length $10\,m$ is clamped on a railway line at its two ends as shown in the figure. On a summer day,due to a rise in temperature by $20\,^oC$,it is deformed as shown in the figure. Find $x$ (displacement of the centre) if $\alpha_{steel} = 1.2 \times 10^{-5} \,^oC^{-1}$.
Difficult
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