Wednesday 3 August 2016

Physics dimensions notes

Few sets of physical quantities having identical dimensions
i. Acceleration, gravitational field strength and acceleration due to gravity have same dimensions M°LT-2
ii. Linear momentum and impulse have identical dimensions MLT-1
iii. Work, energy, torque, couple, moment, internal energy, heat, light, work function have same dimensions ML2T-2
iv. Angular velocity, frequency, velocity gradient, radioactive decay constant and Hubble's constant have identical dimensions M°L°T-1
v. Force, thrust, weight, tension, energy gradient have same dimensions MLT-2
vi. Surface tension, force constant, spring constant, force gradient, surface energy have identical dimensions ML°T-2
vii. Pressure, stress, modulus of elasticity, energy density have identical dimensions ML-1T-2
viii. Intensity of radiation, solar constant have identical dimensions ML°T-3
ix. Gravitational potential, specific latent heat have identical dimensions M°L2T-2
x. Thermal capacity, Boltzmann's constant and entropy have same dimensions ML2T-2K-1
xi. Electric potential, electromotive force, electric potential difference have identical dimensions ML2T-3A-1
xii. Specific heat and principal gas constant have identical dimensions M°L2T-2K-1
xiii. Universal gas constant, molar specific heat capacity have identical dimensions
ML2T-2K-1 mol-1
xiv. Angular momentum and Planck's constant have same dimensions ML2T-1
xv. Magnetising force and intensity of magnetisation have identical dimensions M°L-1T°A
xvi. Rydberg's constant and wave number have identical dimensions M°L-1T°
xvii. If C, R and L are capacitance, resistance and inductance, then [C R], [L/R], [LC] have same dimensions M°L°T as time
xviii. 1oo , /k, Y/ρ , T/m , E/B, have same dimensions M°LT-1 as speed
xix. Li2, h, CV2, qV, q2/C, iVt, i2Rt, V2 R t, nRT, 1/2 I2, mgh, GMmr , 1/2mv2 have same dimensions ML2T-2 as energy
xx. Bil, BqV, Ke, I/t = impulsetime have same dimensions MLT-2 as force.
xxi. Fv, I2R, IV, V2/R have same dimensions ML2T-3 as power.

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