CLAT CLAT Solved Paper-2013

  • question_answer
    A rod of 2 cm diameter and 30 cm length is converted into a wire of 3 m length of uniform thickness. The diameter of the wire is

    A)  2/10 cm                     

    B)  \[2/\sqrt{10}\,cm\]

    C)  \[1/\sqrt{10}\,cm\]                 

    D)  \[1/10\,\,cm\]

    Correct Answer: C

    Solution :

    Ans.  Volume of rod = Volume of wire \[\Rightarrow \]            \[\pi {{r}^{2}}h=\pi {{r}^{2}}h\] \[\Rightarrow \]            \[\pi \,\times \,{{(1)}^{2}}\times 30=\pi \times {{r}^{2}}\times 300\] \[\Rightarrow \]            \[{{r}^{2}}=\frac{30}{300}\] \[\therefore \]    \[r=\frac{1}{\sqrt{10}}\,cm\]


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