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

\[\left| \sqrt{l/g} \right.,\,\sqrt{m/k},\,\sqrt{R/g},\] 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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