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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]

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To convert a physical quantity from one system to other -

$\dpi{100} n_{1}\left [ u_{1} \right ]= n_{2}\left [ u_{2} \right ]$

- 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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