MGIMS WARDHA MGIMS WARDHA Solved Paper-2009

  • question_answer
    The breaking strength of a rod of diameter 2cm is \[2\times {{10}^{5}}N.\] Then that for rod of same material but diameter 4 cm will be

    A) \[2\times {{10}^{5}}N\]                                

    B)  \[1\times {{10}^{5}}N\]

    C) \[8\times {{10}^{5}}N\]                                

    D)  \[0.5\times {{10}^{5}}N\]

    Correct Answer: C

    Solution :

                     Breaking force\[\propto \]area of cross-section of wire. \[\Rightarrow \]\[F\propto {{r}^{2}}\] \[\Rightarrow \]\[\frac{{{F}_{2}}}{{{F}_{1}}}={{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{2}}={{\left( \frac{4}{2} \right)}^{2}}=4\] \[\therefore \]  \[{{F}_{2}}=4\times {{F}_{1}}=4\times 2\times {{10}^{5}}\] \[\Rightarrow \] \[{{F}_{2}}=8\times {{10}^{5}}N\]


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