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

  • question_answer
    A force of 200 N is applied at one end of a wire of length 2 m and having area of cross-section \[{{10}^{-2}}\,c{{m}^{2}}\]. The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire \[\alpha =8\times {{10}^{-6}}/{}^\circ C\] and Young's modulus \[Y=2.2\times {{10}^{11}}\,N/{{m}^{2}}\] and its temperature is increased by 5°C, then the increase in the tension of the wire will be

    A) 4.2 N

    B)                             4.4 N

    C)                 2.4 N     

    D)                 8.8 N

    Correct Answer: D

    Solution :

        Increase in tension of wire \[=YA\alpha \Delta \theta \]             \[=8\times {{10}^{-6}}\times 2.2\times {{10}^{11}}\times {{10}^{-2}}\times {{10}^{-4}}\times 5=8.8\ N\]


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