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

  • question_answer
    The ratio of the lengths of two wires A and B of same material is 1 : 2 and the ratio of their diameter is 2 : 1. They are stretched by the same force, then the ratio of increase in length will be               [MP PMT 1986; MP PET/PMT 1988]

    A) 2 : 1       

    B)                 1 : 4

    C)                 1 : 8

    D)                 8 : 1

    Correct Answer: C

    Solution :

                         \[l=\frac{FL}{AY}\Rightarrow l\propto \frac{L}{{{d}^{2}}}\]Þ\[\frac{{{l}_{1}}}{{{l}_{2}}}=\frac{{{L}_{1}}}{{{L}_{2}}}\times {{\left( \frac{{{d}_{2}}}{{{d}_{1}}} \right)}^{2}}\]\[=\frac{1}{2}\times {{\left( \frac{1}{2} \right)}^{2}}=\frac{1}{8}\]           


You need to login to perform this action.
You will be redirected in 3 sec spinner