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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    A wire of length 100 cm is connected to a cell of emf 2V and negligible internal resistance. The resistance of the wire is\[3\,\Omega ,\]the additional resistance required to produce a PD of 1 mV/cm is:

    A)  \[60\,\,\Omega \]       

    B)                         \[47\,\,\Omega \]          

    C)         \[57\,\,\Omega \]         

    D)         \[35\,\,\Omega \]

    E)  \[55\,\,\Omega \]

    Correct Answer: C

    Solution :

    Resistance per unit length of wire \[x=\frac{3}{100}=3\times {{10}^{-2}}\Omega c{{m}^{-1}}\] Equivalent length of wire \[l=\frac{R+3}{3\times {{10}^{-2}}},\] R being additional resistance                 \[\frac{E}{k}=\frac{R+3}{3\times {{10}^{-2}}}\] \[\Rightarrow \]               \[\frac{2}{1\times {{10}^{-3}}}=\frac{R+3}{3\times {{10}^{-2}}}\] \[\Rightarrow \]               \[R=57\,\Omega \]


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