11th Class Physics Physical World / भौतिक जगत Quantities Having same Dimensions

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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