A bimetallic strip is formed out of two identical strips, one of copper and 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 goes up by $\Delta T$ and the strip bends to form an arc of radius of curvature $R.$ Then $R$ is
A bimetallic strip is formed out of two identical strips, one of copper and 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 goes up by $\Delta T$ and the strip bends to form an arc of radius of curvature $R.$ Then $R$ is
- [IIT 1999]
- A
Proportional to $\Delta T$
- B
Inversely proportional to $\Delta T$
- C
Inversely proportional to $|{\alpha _B} - {\alpha _C}|$
- D
Both $(B)$ and $(C)$
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- [AIPMT 1999]
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- [IIT 2003]