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KVPY Sample Paper KVPY Stream-SX Model Paper-6

  • question_answer
    A galvanometer, whose resistance is 50 ohm, has 25 divisions in it. When a current of \[4\times {{10}^{-4}}\]. A passes through it, its needle (pointer) deflects by one division. To use this galvanometer as a voltmeter of range 2.5 V, it should be connected to a resistance of:

    A) 250 ohm                       

    B) 200 ohm

    C)  6200 ohm                    

    D) 6250 ohm

    Correct Answer: B

    Solution :

    \[{{V}_{o}}={{i}_{{{g}_{o}}}}({{R}_{G}}+R)\]
    \[{{i}_{go}}=4\times {{10}^{-4}}\times 25={{10}^{-2}}A\]
    \[{{V}_{o}}=2.5V\]
    \[{{R}_{g}}+R=\frac{{{V}_{O}}}{{{i}_{{{g}_{o}}}}}=\frac{2.5}{{{10}^{-2}}}=250\]
    \[\Rightarrow \]   \[R=200\Omega .\]


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