Quantities Having same Dimensions
Category : 11th Class
| Dimension | Quantity |
| \[[{{M}^{0}}{{L}^{0}}{{T}^{-1}}]\] | Frequency, angular frequency, angular velocity, velocity gradient and decay constant |
| \[[{{M}^{1}}{{L}^{2}}{{T}^{-2}}]\] | Work, internal energy, potential energy, kinetic energy, torque, moment of force |
| \[[{{M}^{1}}{{L}^{-1}}{{T}^{-2}}]\] | Pressure, stress, Young?s modulus, bulk modulus, modulus of rigidity, energy density |
| \[[{{M}^{1}}{{L}^{1}}{{T}^{-1}}]\] | Momentum, impulse |
| \[[{{M}^{0}}{{L}^{1}}{{T}^{-2}}]\] | Acceleration due to gravity, gravitational field intensity |
| \[[{{M}^{1}}{{L}^{1}}{{T}^{-2}}]\] | Thrust, force, weight, energy gradient |
| \[[{{M}^{1}}{{L}^{2}}{{T}^{-1}}]\] | Angular momentum and Planck?s constant |
| \[[{{M}^{1}}{{L}^{0}}{{T}^{-2}}]\] | Surface tension, Surface energy (energy per unit area) |
| \[[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\] | Strain, refractive index, relative density, angle, solid angle, distance gradient, relative permittivity (dielectric constant), relative permeability etc. |
| \[[{{M}^{0}}{{L}^{2}}{{T}^{-2}}]\] | Latent heat and gravitational potential |
| \[[M{{L}^{2}}{{T}^{-2}}{{\theta }^{-1}}]\] | Thermal capacity, gas constant, Boltzmann constant and entropy |
| \[[{{M}^{0}}{{L}^{0}}{{T}^{1}}]\] |
\[\left| \sqrt{l/g} \right.,\,\sqrt{m/k},\,\sqrt{R/g},\] where l = length g = acceleration due to gravity, m = mass, k = spring constant, R = Radius of earth |
| \[[{{M}^{0}}{{L}^{0}}{{T}^{1}}]\] | L/R, \[\sqrt{LC}\], RC where L = inductance, R = resistance, C = capacitance |
| \[[M{{L}^{2}}{{T}^{-2}}]\] | \[{{I}^{2}}Rt,\frac{{{V}^{2}}}{R}t,\text{ }VIt,\text{ }qV,\text{ }L{{I}^{2}},\text{ }\frac{{{q}^{2}}}{C},C{{V}^{2}}\] where I = current, t = time, q = charge, L = inductance, C = capacitance, R = resistance |
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