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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 $I$ (Physical Quantity) | List $II$ (Dimensional Formula) |
| $(A)$ Pressure gradient | $(I)$ $\left[ M ^0 L ^2 T ^{-2}\right]$ |
| $(B)$ Energy density | $(II)$ $\left[ M ^1 L ^{-1} T ^{-2}\right]$ |
| $(C)$ Electric Field | $(III)$ $\left[ M ^1 L ^{-2} T ^{-2}\right]$ |
| $(D)$ Latent heat | $(IV)$ $\left[ M ^1 L ^1 T ^{-3} A ^{-1}\right]$ |
