All Dimensional Formula List PDF Download

Download Dimensional Formula of Physical Quantities PDF for Class 11 & 12 Neet & Jee Exam

In this post, we will provide you with a PDF of the Dimensional Formula List. You can find the complete Dimensional Formula List, which you can also download in PDF format at the end of this post.

This post will be helpful for the students of physics in classes 11 and 12 to understand the physical quantities and their relationship with other physical quantities.

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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.

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Dimensional Formula List

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

Sl. 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 4^oC	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	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( $\large \begin{aligned} \nu \end{aligned}$ )	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 4^oC	No dimensions [M⁰L⁰T^-0]	No unit
43	Pressure gradient	Pressure / Dstance	[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	Permitivity 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	[M⁰L⁰T¹A¹mol^-1]	C mol^-1
88	Wave number	–	[M⁰L^-1T⁰]
89	Radiant flux, Radiant power	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 (`L`_v)	–	[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	Binding energy of 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 (X_c)	(Angular frequency X capacitance)^-1	[M¹L²T^-3A^-2]	ohms (Ω)
106	Inductive reactance (X_L)	(Angular frequency X inductance)	[M¹L²T^-3A^-2]	ohms (Ω)