If you are looking for the PDF of the Dimensional Formula List then you are in the right place. At the end of this post, we added a button to download the All Dimensional Formula List for Class 11 & 12 PDF for free.

Dimensional Formulas

All physical quantities can be expressed in terms of seven fundamental (base) quantities such as mass, length, time, temperature, electric current, luminous intensity, and amount of substance. These seven quantities are called the seven dimensions of the physical world.

The dimensional formula is a compound expression showing how and which of the fundamental quantities are involved in making that physical quantity.

We can use symbols instead of the names of the base quantities. M, L, and T are used to represent the dimensions of the three mechanical quantities mass, length, and time respectively. 

Dimensional Formula List

Here is a list of all the Dimensional Formulas of Physical Quantities.

Sr. No	Physical Quantity	Formula	Dimensional Formula	S.I Unit
1	Area (A)	Length x Breadth	[M0L2T0]	m2
2	Volume (V)	Length x Breadth x Height	[M0L3T0]	m3
3	Density (d)	Mass / Volume	[M1L-3T0]	kgm-3
4	Speed (s)	Distance / Time	[M0L1T-1]	ms-1
5	Velocity (v)	Displacement / Time	[M0L1T-1]	ms-1
6	Acceleration (a)	Change in velocity / Time	[M0L1T-2]	ms-2
7	Acceleration due to gravity (g)	Change in velocity / Time	[M0L1T-2]	ms-2
8	Specific gravity	Density of body/density of water at 4oC	No dimensions [M0L0T-0]	No units
9	Linear momentum (p)	Mass x Velocity	[M1L1T-1]	kgms-1
10	Force (F)	Mass x Acceleration	[M1L1T-2]	N
11	Work (W)	Force x Distance	[M1L2T-2]	J (Joule)
12	Energy (E)	Work	[M1L2T-2]	J
13	Impulse (I)	Force x Time	[M1L1T-1]	Ns
14	Pressure (P)	Force / Area	[M1L-1T-2]	Nm-2
15	Power (P)	Work / Time	[M1L2T-3]	W
16	A Universal constant of gravitation (G)	–	[M-1L3T-2]	Nm2kg-2
17	Moment of inertia (I)	Mass x (distance)2	[M1L2T0]	kgm2
18	Moment of force, moment of couple	Force x distance	[M1L2T-2]	Nm
19	Surface tension (T)	Force / Length	[M1L0T-2]	Nm-1
20	Surface energy (E)	Energy/unit area	[M1L0T-2]	Nm-1
21	Force constant (x)	Force / Displacement	[M1L0T-2]	Nm-1
22	Coefficient of viscosity ( η )	–	[M1L-1T-1]	Nsm-2
23	Thrust (F)	Force	[M1L1T-2]	N
24	Tension (T)	Force	[M1L1T-2]	N
25	Stress	Force / Area	[M1L-1T-2]	Nm-2
26	Strain	Change in dimension / Original dimension	No dimensions [M0L0T-0]	No unit
27	Modulus of Elasticity (E)	Stress/strain	[M1L-1T-2]	Nm-2
28	Radius of gyration (k)	Distance	[M0L1T0]	m
29	Angle ( θ), Angular displacement	Arc length / Radius	No dimensions [M0L0T-0]	rad
30	Trigonometric ratio ( sin θ, cos θ, tan θ, etc)	Length/length	No dimensions [M0L0T-0	No unit
31	Angular velocity( ω )	Angle / Time	[M0L0T-1]	rad s-1
32	Angular acceleration( α )	Angular velocity / Time	[M0L0T-2]	rad s-2
33	Angular momentum (J)	Moment of inertia x Angular velocity	[M1L2T-1]	kgm2s-1
34	Torque (𝞽)	Moment of inertia x Angular acceleration	[M1L2T-2]	Nm
35	Velocity gradient	Velocity / Distance	[M0L0T-1]	s-1
36	Rate flow	Volume / Time	[M0L3T-1]	m3s-1
37	Wavelength( 𝛌 )	Length of a wavelet	[M0L1T0]	m
38	Frequency()	Number of vibrations/second or 1/time period	[M0L0T-1]	Hz or s-1
39	Angular frequency (ω)	2π x frequency	[M0L0T-1]
40	Planck’s constant (h)	Energy / Frequency	[M1L2T-1]	Js
41	Buoyant force	Force	[M1L1T-2]	N
42	Relative density	Density of substance/ density of water at 4oC	No dimensions [M0L0T-0]	No unit
43	Pressure gradient	Pressure / Distance	[M1L-2T-2]	Nm-3
44	Pressure energy	Pressure x Volume	[M1L2T-2]	J
45	Temperature	–	[M0L0T0K1]	K
46	Heat (Q)	Energy	[M1L2T-2]	J
47	Latent heat (L)	Heat / Mass	[M0L2T-2]	Jkg-1
48	Specific heat (S)	–	[M0L2T-2K-1]	Jkg-1K-1
49	Thermal expansion coefficient or thermal expansivity	–	[M0L0T0K-1]	K-1
50	Thermal conductivity	–	[M1L1T-3K-1]	Wm-1K-1
51	Bulk modulus or (compressibility)-1	–	[M1L-1T-2]	Nm-2 or Pascals
52	Centripetal acceleration	–	[M0L1T-2]
53	Stefan constant (σ)	–	[M1L0T-3K-4]	Wm−2K−4
54	Wien constant	Wavelength X temperature	[M0L1T0K1]	mK
55	Gas constant (R)	–	[M1L2T-2K-1]	JK-1
56	Boltzmann constant (K)	Energy/temperature	[M1L2T-2K-1]	JK-1
57	Charge (q)	Current x time	[M0L0T1A1]	C
58	Current density	Current / area	[M0L-2T0A1]	A m−2
59	Electric potential (V), voltage, electromotive force	Work / Charge	[M1L2T–3A-1]	V
60	Resistance (R)	Potential difference / Current	[M1L2T–3A-2]	ohms (Ω)
61	Capacitance	Charge / potential difference	[M–1L–2T4A2]	F (Farad)
62	Electrical resistivity or (electrical conductivity)-1	–	[M1L3T-3A–2]	Ωm ( resistivity)
63	Electric field (E)	Force / Charge	[M1L1T-3A-1]	NC-1
64	Electric flux	Electric field X area	[M1L3T–3A-1]	Nm2C-1
65	Electric dipole moment	Torque / electric field	[M0L1T1A1]	C m
66	Electric field strength or electric intensity	Potential difference/ distance	[M1L1T-3A-1]	NC-1
67	Magnetic field (B), magnetic flux density, magnetic induction	–	[M1L0T-2A-1]	T (Tesla)
68	Magnetic flux (Φ)	Magnetic field X area	[M1L2T-2A-1]	Wb (Weber)
69	Inductance	Magnetic flux/current	[M1L2T-2A-2]	H (Henry)
70	Magnetic dipole moment	Torque /field or current X area	[M0L2T0A1]	Am2
71	Magnetic field strength (H), magnetic intensity, or magnetic moment density	Magnetic moment/volume	[M0L-1T0A1]	Am-1
72	Hubble constant	Recession speed/distance	[M0L0T-1]	s-1
73	Intensity of wave	(Energy/time)/area	[M1L0T-3]	Wm-2
74	Radiation pressure	Intensity of wave/speed of light	[M1L–1T-2]
75	Energy density	Energy/volume	[M1L-1T-2]	Jm-3
76	Critical velocity	–	[M0L1T-1]	ms-1
77	Escape velocity	–	[M0L1T-1]	ms-1
78	Heat energy, internal energy	Work ( = Force X distance)	[M1L2T-2]	J
79	Kinetic energy	–	[M1L2T-2]	J
80	Potential energy	Mass X acceleration due to gravity X height	[M1L2T-2]	J
81	Rotational kinetic energy	–	[M1L2T-2]	J
82	Efficiency	–	No dimensions [M0L0T0]	No unit
83	Angular impulse	Torque X time	[M1L2T-1]	Js (Joule second)
84	Permittivity constant (of free space)	–	[M-1L-3T4A2]	F m-1
85	Permeability constant (of free space)	–	[M1L1T-2A-2]	NA-2
86	Refractive index	–	No  dimensions [M0L0T0]	No unit
87	Faraday constant (F)	Avogadro constant X elementary charge	[M0L0T1A1 mol-1]	C mol-1
88	Wave number	–	[M0L-1T0]
89	Radiant flux, Radiant power	The energy emitted / time	[M1L2T-3]	W(Watt)
90	Luminosity of radiant flux or radiant intensity	–	[M1L2T-3]	W sr-1 (Watt/steradian)
91	Luminous power or luminous flux of source	–	[M1L2T-3]	lm (lumen)
92	Luminous intensity or illuminating power of source	Luminous flux / Solid angle	[M1L2T-3]	cd (candela)
93	Intensity of illumination or luminance (Lv)	–	[M1L0T-3]	cd m-2
94	Relative luminosity	Luminous flux of a source of given wavelength / luminous flux of peak sensitivity wavelength(555 nm) source of the same power	No dimensions [M0L0T0]	No unit
95	Luminous efficiency	Total luminous flux / Total radiant flux	No dimensions [M0L0T0]	No unit
96	Illuminance or illumination	Luminous flux incident / Area	[M1L0T-3]	lx (lux)
97	Mass defect	(Sum of masses of nucleons) – (mass of the nucleus)	[M1L0T0]
98	The Binding energy of a nucleus	–	[M1L2T-2]
99	Decay constant	0.693 / half-life	[M0L0T-1]
100	Resonant frequency	–	[M0L0T-1A0]
101	Quality factor or Q-factor of coil	–	No dimensions [M0L0T0]	No unit
102	Power of lens	–	[M0L-1T0]	D (dioptre)
103	Magnification	Image distance / Object distance	No dimensions [M0L0T0]	No unit
104	Fluid flow rate	–	[M0L3T-1]	m3s-1
105	Capacitive reactance (Xc)	(Angular frequency X capacitance)-1	[M1L2T-3A-2]	ohms (Ω)
106	Inductive reactance (XL)	(Angular frequency X inductance)	[M1L2T-3A-2]	ohms (Ω)