JEE Main & Advanced Physics Elasticity Question Bank Youngs Modulus and Breaking Stress

  • question_answer
    A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have                                          [MP PMT 1992]

    A) Different stresses and strains

    B)                 The same stress and strain

    C)                 The same strain but different stresses

    D)                 The same stress but different strains

    Correct Answer: D

    Solution :

        \[\text{Stress}=\frac{\text{Force}}{\text{area}}\]. In the present case, force applied and area of cross-section of wires are same, therefore stress has to be the same.             \[\text{Strain}=\frac{\text{Stress}}{Y}\] Since the Young?s modulus of steel wire is greater than the copper wire, therefore, strain in case of steel wire is less than that in case of copper wire. 


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