IMPORTANT DIMENSIONS OF COMPlETE PHYSICS
Mechanics
S.N. Quantity Unit Dimension
(1) Velocity or speed (v) m/s [M0L1T–1]
(2) Acceleration (a) m/s2 [M0LT–2]
(3) Momentum (P) kg.m/s [M1L1T–1]
(4) Impulse (I) Newton/sec or [M1L1T–1]
kg. m/s
(5) Force (F) Newton [M1L1T–2]
(6) Pressure (P) Pascal [M1L–1T–2]
(7) Kinetic energy (Ek) Joule [M1L2T–2]
(8) Power (P) Watt or Joule/s [M1L2T–3]
(9) Density (d) kg/m3 [M1L–3T0]
(10) Angular displacement (θ) Radian (rad.) [M0L0T0]
(11) Angular velocity (ω) Radian/sec [M0L0T–1]
(12) Angular Acceleration (α) Radian/sec2 [M0L0T–2]
(13) Moment of inertia (I) kg.m2 [ML2T0]
(14) Torque (τ) Newton-meter [ML2T-2]
(15) Angular momentum (L) Joule sec [ML2T–1]
(16) Force constant or spring constant (k) Newton/m [M1L0T–2]
(17) Gravitational constant (G) N–m2/kg2 [M–1L3T–2]
(18) Intensity of gravitational field (Eg) N/kg [M0L1T–2]
(19) Gravitational potential (Vg) Joule/kg [M0L2T–2]
(20) Surface tension (T) N/m or Joule/m2 [M1L0T–2]
(21) Velocity gradient (Vg) Second–1 [M0L0T–1]
(22) Coefficient of viscosity (η) kg/m s [M1L–1T–1]
(23) Stress N/m2 [M1L–1T–2]
(24) Strain No unit [M0L0T0]
(25) Modulus of elasticity (E) N/m2 [M0L–1T–2]
(26) Poisson Ratio (σ) No unit [M0L0T0]
(27) Time period (T) Second [M0L0T1]
(28) Frequency (n) Hz [M0L0T–1]
Heat
S.N. Quantity Unit Dimension
(1) Temperature (T) Kelvin M0L0T0K1]
(2) Heat (Q) Joule [ML2T–2]
(3) Specific Heat (c) Joule/Kg–K [M0L2T–2K–1]
(4) Thermal capacity Joule/K [M1L2T–2K–1]
(5) Latent heat (L) Joule/kg [M0L2T–2]
(6) Gas constant (R) Joule/mol-K [M1L2T–2mol–1K–1]
(7) Boltzmann constant (k) Joule/K [M1L2T–2K–1]
(8) Coefficient of thermal Joule/M-s-K [M1L1T–3K–1]
conductivity (K)
(9) Stefan’s constant (σ) Watt/m2–K4 [M1L0T–3K–4]
(10) Wien’s constant (b) Meter K [M0L1T0K1]
(11) Planck’s constant (h) Joule s [M1L2T–1]
(12) Coefficient of Linear Kelvin–1 [M0L0T0K–1]
Expansion
(13) Mechanical eq. of Heat (J) Joule/Calorie [M0L0T0]
(14) Vander wall’s constant (a) Newton m4 [M1L5T–2]
(15) Vander wall’s consatnt (b) m3 [M0L3T0]
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