| 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 R Then R is |
A) Proportional to \[\Delta T\]
B) Inversely proportion a to \[\Delta T\]
C) Proportional to \[\left| {{\alpha }_{B}}-{{\alpha }_{C}} \right|\]
D) Inversely proportional to\[\left| {{\alpha }_{B}}+{{\alpha }_{C}} \right|\]
Correct Answer: B
Solution :
Let \[{{\ell }_{0}}\] be the length and t the thickness of each strip. On heating, length of brass rod \[{{\ell }_{1}}={{\ell }_{0}}(1+{{\alpha }_{B}}\Delta T)\]
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