JEE Main & Advanced Sample Paper JEE Main - Mock Test - 35

  • question_answer
    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 AT and the strip bends to form an arc of radius of curvature R. Then R is

    A) independent of \[\Delta T\]

    B) independent of \[\Delta T\]

    C) proportional to \[\left| {{\alpha }_{B}}-{{\alpha }_{C}} \right|\]

    D) inversely proportional to \[\left| {{\alpha }_{B}}-{{\alpha }_{C}} \right|\]

    Correct Answer: D

    Solution :

    Let  be the initial length of each strip before heating. Length after heating will be  and

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