If $R , X _{ L }$. and $X _{ C }$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:
If $R , X _{ L }$. and $X _{ C }$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:
- [JEE MAIN 2023]
- A
$RX _{ L } X _{ C }$
- B
$\frac{ R }{\sqrt{ X _{ L } X _{ C }}}$
- C
$\frac{R}{X_L X_C}$
- D
$R \frac{X_L}{X_C}$
Similar Questions
Match List $I$ with List $II$
List $I$
List $II$
$A$ Spring constant
$I$ $(T ^{-1})$
$B$ Angular speed
$II$ $(MT ^{-2})$
$C$ Angular momentum
$III$ $(ML ^2)$
$D$ Moment of Inertia
$IV$ $(ML ^2 T ^{-1})$
Choose the correct answer from the options given below
Match List $I$ with List $II$
| List $I$ | List $II$ |
| $A$ Spring constant | $I$ $(T ^{-1})$ |
| $B$ Angular speed | $II$ $(MT ^{-2})$ |
| $C$ Angular momentum | $III$ $(ML ^2)$ |
| $D$ Moment of Inertia | $IV$ $(ML ^2 T ^{-1})$ |
Choose the correct answer from the options given below
- [JEE MAIN 2023]
Turpentine oil is flowing through a tube of length $l$ and radius $r$. The pressure difference between the two ends of the tube is $P .$ The viscosity of oil is given by $\eta=\frac{P\left(r^{2}-x^{2}\right)}{4 v l}$ where $v$ is the velocity of oil at a distance $x$ from the axis of the tube. The dimensions of $\eta$ are
Turpentine oil is flowing through a tube of length $l$ and radius $r$. The pressure difference between the two ends of the tube is $P .$ The viscosity of oil is given by $\eta=\frac{P\left(r^{2}-x^{2}\right)}{4 v l}$ where $v$ is the velocity of oil at a distance $x$ from the axis of the tube. The dimensions of $\eta$ are
- [AIPMT 1993]
The period of a body under SHM i.e. presented by $T = {P^a}{D^b}{S^c}$; where $P$ is pressure, $D$ is density and $S$ is surface tension. The value of $a,\,b$ and $c$ are
The period of a body under SHM i.e. presented by $T = {P^a}{D^b}{S^c}$; where $P$ is pressure, $D$ is density and $S$ is surface tension. The value of $a,\,b$ and $c$ are
- [KVPY 2020]
If force $[F],$ acceleration $[A]$ and time $[T]$ are chosen as the fundamental physical quantities. Find the dimensions of energy.
If force $[F],$ acceleration $[A]$ and time $[T]$ are chosen as the fundamental physical quantities. Find the dimensions of energy.
- [NEET 2021]
From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is
From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is
- [JEE MAIN 2014]