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

  • question_answer
    A force of \[{{10}^{3}}\] newton stretches the length of a hanging wire by 1 millimetre. The force required to stretch a wire of same material and length but having four times the diameter by 1 millimetre is                                    [MP PMT 1995]

    A)                 \[4\times {{10}^{3}}\]N

    B)                             \[16\times {{10}^{3}}\]N

    C)                 \[\frac{1}{4}\times {{10}^{3}}\]N

    D)                             \[\frac{1}{16}\times {{10}^{3}}\]N

    Correct Answer: B

    Solution :

        \[F=Y\times A\times \frac{l}{L}\]Þ\[F\propto {{r}^{2}}\](Y,l and L are constant) If diameter is made four times then force required will be 16 times. i.e. 16 × 103 N


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