J & K CET Medical J & K - CET Medical Solved Paper-2012

  • question_answer
    A steel wire can support a maximum load of w before reaching its elastic limit. How much load can another wire, made out of identical steel, but with a radius one half the radius of the first wire, support before reaching its elastic limit?

    A)  \[w\]

    B)  \[\frac{w}{2}\]

    C)  \[\frac{w}{4}\]

    D)  \[4w\]

    Correct Answer: C

    Solution :

     The elastic limit of steel = support the maximum B load Load\[=Y\alpha \Delta t\pi {{r}^{2}}\] Then,   \[w=Y\pi \,\alpha \,\Delta t{{R}^{2}}\]            ...(i) load \[w=Y\pi \alpha \Delta t{{\left( \frac{R}{2} \right)}^{2}}\] \[=\frac{y\pi \,\alpha \,\Delta t{{R}^{2}}}{4}=\frac{w}{4}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner