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AMU Medical AMU Solved Paper-1998

  • question_answer
    A metal beam having coefficient of linear expansion\[\alpha \]Youngs modulus \[Y\], area of across section a and length L, is clamped at both ends. After cooling by\[t{}^\circ C,\]the force exerted in the clamp is

    A)  \[YL\alpha t\]            

    B)  \[Y\alpha a\]

    C)  \[YaL\alpha t\]          

    D)  \[Ya\alpha t\]

    Correct Answer: D

    Solution :

    : \[Y=\frac{F}{a}\times \frac{L}{l}\]where a = area or \[F=Yal/L\]                         ................ (i) \[\alpha =\frac{Change\text{ }in\text{ }length\,(l)}{original\text{ }length(L)\times temperature\text{ }change(l)}\] or  \[\alpha =\frac{l}{Lt}\]                              .................. (ii) \[\therefore \]\[F=Ya\alpha t.\]


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