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

  • question_answer
    The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied [IIT 1981; NCERT 1976; MP PET/PMT 1998; CPMT 1983, 90; MP PMT 1992, 94, 97; MP PET 1989, 90, 99]

    A) Length 100 cm, Diameter 1 mm

    B)                 Length 200 cm, Diameter 2 mm

    C)                 Length 300 cm, Diameter 3 mm

    D)                 Length 50 cm, Diameter 0.5 mm

    Correct Answer: D

    Solution :

        \[Y=\frac{F}{A}\ \frac{L}{A}\Rightarrow l\propto \frac{L}{A}\propto \frac{L}{\pi {{d}^{2}}}\] \ \[l\propto \frac{L}{{{d}^{2}}}\] [As F and Y are constant]        The ratio of \[\frac{L}{{{d}^{2}}}\]is maximum for case


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