JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Mechanical Properties of Solids

  • question_answer
    Two persons pull a rope towards themselves. Each person exerts a force of 100 N on the rope. Find the Young's modulus of the material of the rope if it extends in length by 1 cm. Original length of the rope = 2 m and the area of cross section \[2c{{m}^{2}}\]

    A) \[{{10}^{8}}N/{{m}^{2}}\]

    B) \[{{10}^{7}}N/{{m}^{2}}\]

    C) \[{{10}^{6}}N/{{m}^{2}}\]

    D) \[{{10}^{5}}N/{{m}^{2}}\]

    Correct Answer: A

    Solution :

    [a] \[Y=\frac{F}{A}\times \frac{L}{\Delta L}=\frac{100}{2\times {{10}^{-4}}}\times \frac{2}{1\times {{10}^{-2}}}={{10}^{8}}N/{{m}^{2}}\]


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