If $L , C$ and $R$ are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?
If $L , C$ and $R$ are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?
- [JEE MAIN 2022]
- A
$RC$
- B
$\frac{L}{R}$
- C
$\sqrt{ LC }$
- D
$\frac{L}{C}$
Similar Questions
The frequency of vibration $f$ of a mass $m$ suspended from a spring of spring constant $K$ is given by a relation of this type $f = C\,{m^x}{K^y}$; where $C$ is a dimensionless quantity. The value of $x$ and $y$ are
The frequency of vibration $f$ of a mass $m$ suspended from a spring of spring constant $K$ is given by a relation of this type $f = C\,{m^x}{K^y}$; where $C$ is a dimensionless quantity. The value of $x$ and $y$ are
- [AIPMT 1990]
Match List$-I$ with List$-II.$
List$-I$
List$-II$
$(a)$ Capacitance, $C$
$(i)$ ${M}^{1} {L}^{1} {T}^{-3} {A}^{-1}$
$(b)$ Permittivity of free space, $\varepsilon_{0}$
$(ii)$ ${M}^{-1} {L}^{-3} {T}^{4} {A}^{2}$
$(c)$ Permeability of free space, $\mu_{0}$
$(iii)$ ${M}^{-1} L^{-2} T^{4} A^{2}$
$(d)$ Electric field, $E$
$(iv)$ ${M}^{1} {L}^{1} {T}^{-2} {A}^{-2}$
Choose the correct answer from the options given below
Match List$-I$ with List$-II.$
| List$-I$ | List$-II$ |
| $(a)$ Capacitance, $C$ | $(i)$ ${M}^{1} {L}^{1} {T}^{-3} {A}^{-1}$ |
| $(b)$ Permittivity of free space, $\varepsilon_{0}$ | $(ii)$ ${M}^{-1} {L}^{-3} {T}^{4} {A}^{2}$ |
| $(c)$ Permeability of free space, $\mu_{0}$ | $(iii)$ ${M}^{-1} L^{-2} T^{4} A^{2}$ |
| $(d)$ Electric field, $E$ | $(iv)$ ${M}^{1} {L}^{1} {T}^{-2} {A}^{-2}$ |
Choose the correct answer from the options given below
- [JEE MAIN 2021]
The dimensional formula of latent heat is:
The dimensional formula of latent heat is:
- [JEE MAIN 2024]
$A$ and $B$ possess unequal dimensional formula then following operation is not possible in any case:-
$A$ and $B$ possess unequal dimensional formula then following operation is not possible in any case:-
Which of the following units denotes the dimensions $\frac{{M{L^2}}}{{{Q^2}}}$, where $Q$
denotes the electric charge?
Which of the following units denotes the dimensions $\frac{{M{L^2}}}{{{Q^2}}}$, where $Q$
denotes the electric charge?