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If $L , C$ and $R$ are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?
A$RC$
B$\frac{L}{R}$
C$\sqrt{ LC }$
D$\frac{L}{C}$
(JEE MAIN-2022)
Solution
$\left(\frac{L}{C}\right)$ does not have dimension of time.
$RC , \frac{ L }{ R }$ are time constant while $\sqrt{ LC }$ is reciprocal of angular frequency or having dimension of time.
$RC , \frac{ L }{ R }$ are time constant while $\sqrt{ LC }$ is reciprocal of angular frequency or having dimension of time.
Standard 11
Physics
Similar Questions
Match List $I$ with List $II$
| List $I$ | List $II$ |
| $A$ Torque | $I$ ${\left[\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]}$ |
| $B$ Magnetic fileld | $II$ $\left[\mathrm{L}^2 \mathrm{~A}^1\right]$ |
| $C$ Magnetic moment | $III$ ${\left[\mathrm{M}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]}$ |
| $D$ Permeability of free space | $IV$ $\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$ |
