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JEE Main & Advanced JEE Main Paper (Held On 12-Jan-2019 Evening)

  • question_answer
    Let \[l,\,\,r,\,\,c\] and \[v\] represent inductance, resistance, capacitance and voltage, respectively. The dimension of \[\frac{l}{rcv}\]in SI units will be [JEE Main Online Paper Held On 12-Jan-2019 Evening]

    A) \[[L{{A}^{-2}}]\]                                

    B) \[[L{{T}^{2}}]\]

    C) \[[{{A}^{-1}}]\]                                  

    D)   \[[LTA]\]

    Correct Answer: C

    Solution :

    For LR circuit, time \[=\left[ \frac{l}{r} \right]=[T]\] For capacitor \[C,[q]=[cv]=[AT]\] So,\[\left[ \frac{l}{rcv} \right]=\frac{[T]}{[AT]}=[{{A}^{-1}}]\]


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