Manipal Medical Manipal Medical Solved Paper-2010

  • question_answer
    A wire of length I and resistance R is stretched to get the radius of cross-section\[\frac{r}{2}\]. Then the new value of R is

    A)  16R            

    B)  4R

    C)  8R             

    D)  5R

    Correct Answer: A

    Solution :

     \[R=\frac{\rho l}{\pi {{r}^{2}}}\] Since,           \[{{V}_{1}}={{V}_{2}}\] \[\Rightarrow \] \[l\times \pi {{\left( \frac{r}{2} \right)}^{2}}=l\times \pi {{r}^{2}}\] \[\Rightarrow \] \[\frac{l}{4}=l\]or\[l=4l\] \[\therefore \] \[R=\frac{\rho 4l}{\pi {{r}^{2}}}\times 4=16R\]


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