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NEET Sample Paper NEET Sample Test Paper-57

  • question_answer
    A steel rod of length L, area of cross section A young modulus Y and coefficient of linear expansion is heated through\[{{t}^{{}^\circ }}C\]. The work that can be performed by the rod when heated will be:

    A) \[(YA\alpha t)\,\,(L\alpha t)\]       

    B) \[\frac{1}{2}\,\,(YA\alpha t)\,\,(L\alpha t)\]

    C) \[\frac{1}{2}\,\,(YA\alpha t)\,\frac{1}{2}\,(L\alpha t)\]

    D)   \[2\,(YA\alpha t)\,(L\alpha t)\]

    Correct Answer: B

    Solution :

    [b] \[W=\frac{1}{2}F\Delta \ell \,\,(i);\] \[\Delta \,\ell =a\,\ell \,t,\,F=Y\,A\,\alpha \,t\] put above value in equation (i) \[W=\frac{1}{2}(YA\alpha t)\,(\alpha \ell t)\]


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