Physics · 2023
JEE Main · 31 January 2023, Shift 1 · Q7
If R, X_L, and X_C represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:
If $\displaystyle \mathrm{R}, \mathrm{X}_{\mathrm{L}}$, and $\displaystyle \mathrm{X}_{\mathrm{C}}$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \frac{R}{\sqrt{X_L X_C}}$
More from Units and Dimensions
- The de-Broglie wavelength associated with a particle of mass m and energy E is h / √(2 m E). The dimensional formula for Planck's constant is:2024
- If B is magnetic field and μ_0 is permeability of free space, then the dimensions of (B / μ_0) is2025
- L, C and R represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula M L^2 T^-4 A^-2 corresponds to…2026
- If the velocity of light c, universal gravitational constant G and Planck's constant h are chosen as fundamental quantities. The dimensions of mass…2023
- If μ_0 and ε_0 are the permeability and permittivity of free space, respectively, then the dimension of (1/(μ_0 ε_0)) is:2025
- Match the LIST-I with LIST-II Choose the correct answer from the options given below:2026
- Electric field in a certain region is given by E=(A/x^2 i+B/y^3 j). The SI unit of A and B are:2023
- What is the dimensional formula of a b^-1 in the equation (P+a/V^2)(V-b)=R T, where letters have their usual meaning.2024
JEE Main 2023 Physics question, with the answer from NTA’s final answer key. Where our answers come from.