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  • Can someone help me with this, - Let l, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dime - Physics and Measurement - JEE Main

 Let l, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of \frac{l}{rcv} in SI units will be : 

  • Option 1)

    [LTA]

  • Option 2)

    [LA-2]

  • Option 3)

    [A-1]

  • Option 4)

    [LT2]

Answers (1)

best_answer

 

To convert a physical quantity from one system to other -

n_{1}\left [ u_{1} \right ]= n_{2}\left [ u_{2} \right ]

 

- wherein

n_{2}=n_{1}\left [ \frac{M_{1}}{M_{2}} \right ]^{a}\left [ \frac{L_{1}}{L_{2}} \right ]^{b}\left [ \frac{T_{1}}{T_{2}} \right ]^{c}

 

l - inductance

r - resistance

c - capacitance

v - voltage

To find \left [ \frac{l}{rCV} \right ]

So \left [ \frac{l}{r} \right ] = T..........i

[CV] = Q=AT............ii

So \left ( \frac{l}{r} \right )\times \frac{1}{CV}= \frac{T}{AT}= A^{-1}

\left [ \frac{l}{rCV} \right ]= A^{-1}


Option 1)

[LTA]

Option 2)

[LA-2]

Option 3)

[A-1]

Option 4)

[LT2]

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