Units & Dimensions of Physical quantities in S.I system.
Fundamental Physical Quantities:
S.No  Fundamental Physical Quantity  Formula  Dimensional Formula  S.I Unit of physical quantity 
1.  Mass  Amount of matter in the object  M  kg 
2.  Length  L  meter  
3.  Time  T  sec  
4.  Electric current  I or A  ampere  
5.  Amount of substance  N  mole(mol  
6.  Luminous intensity  J  candela(cd)  
7.  Temperature  K or  Kelvin 
Derived Physical Quantities:
S.No  Derived Physical Quantity  Formula  Dimensional Formula  S.I Unit of physical quantity 
1.  Area  []  
2.  Volume  []  
3.  Density  []  
4.  Specific Gravity  []  No units  
5.  Frequency  []  hertz  
6.  Angle  No units  
7.  Velocity  m/sec  
8.  Speed  m/sec  
9.  Areal velocity  
10.  Acceleration  
11.  Linear momentum  kg m/sec  
12.  Force  kgm/ or Newton  
13.  Weight  w=mg  kgm/ or Newton  
14.  Moment of force/Torque/Couple  kg  
15.  Impulse  kg m/sec or Ns  
16.  Pressure  N/ or Pa  
17.  Work  Nm or Joule  
18.  Kinetic Energy  joule  
19.  Potential Energy  mgh  joule  
20.  Gravitational constant  
21.  Gravitational field strength  
22.  Gravitational Potential  
23.  Force constant (k)  
24.  Power  W or J/sec  
25.  Moment of Inertia ( I )  kg  
26.  Stress  N/ or Pa  
27.  Strain  No units  
28.  Modulus of Elasticity  N/ or Pa  
29.  Poission’s Ratio  σ =1  No units  
30.  Velocity gradient  
31.  Coefficient of dynamic viscosity  kg(or) Nsec/$latex \m^2$ (or)pascalsec (or)poiseuille  
32.  Surface Tension  ,N/m  
33.  Angular displacement ()  no Units  
34.  Angular velocity(ω)  rad/sec  
35.  Angular acceleration(α)  rad/  
36.  Angular momentum  Iω  
37.  Angular Impulse  Iω  
38.  Temperature  or K  kelvin or degree Celsius  
39.  Coefficient of linear expansion(α)  /kelvin  
40.  Specific heat  
41.  Latent heat  
42.  Entropy  
43.  Thermal capacity  
44.  Gas constant  
45.  coefficient of thermal conductivity  
46.  Pole strength  Am  
47.  Magnetic Moment  
48.  Magnetic flux  weber ; ;J/Amp  
49.  Magnetic field,magnetic flux density (B)  Tesla;  
50.  Permeability of free space  
51.  Magnetic susceptibilty also called volumetric or bulk susceptibility χ_{m}  χ_{m} = μ_{r} − 1  no units  
52.  Electric Charge  Amp sec , coul  
53.  Electric potential  Volt  
54.  E.M.F  Volt  
55.  Electric Capacity  Farad  
56.  Electric Resistance  Ohm (Ω) or volt/amp  
57.  Resistivity  Ohm mt (Ωm)  
58.  Conductivity  1/  Siemens/m  
59.  Permittivity 

farad/m  
60.  Electric conductance  Siemens (or) mhos  
61.  Electric power  Watt  
62.  Electrical Impedance(Z)  Ohm (Ω) or volt/amp  
63.  Electrical admittance  1/Z(Reciprocal of electric impedance)  Siemens (or) mhos  
64.  Self Inductance(L)  weber/amp or Henry  
65.  Boltzmann’s constant  J/kelvin  
66.  Stefan’s constant  
67.  Coefficient of friction  =,N=Normal reaction  dimension less scalar  no units 
68.  Dielectric constant  It is also called relative permittivity  dimension less  no units 
69.  Planck’s constant  J.sec (or) eV.sec  
70.  Refractive index  μ  no units  
71.  Focal length(f)  Distance between center of the lens(mirror) to its focus  L  meter 
72.  Power of a lens (P)  The reciprocal of the focal length of a lens in meters is called power of a lens; p=1/f  diaptors  
73.  Wave number  No.of waves/distance  
74.  Wave length  Length of a wave  L  meter 
Its very good.But more dimensional formulae required like Tension and many more…
very very good
all the dimensional formulas are available in the columns and it is very easy to accomodate them
it is very good but i need de dimensional formula of permeability of free space
it was really helpful
but i also needed that of tension
more dm should b there!!!!!!!!!!!!!
dimensional formulas like planck’s constant etc are not available
well i expected man more dimensional formulas!
Good work yaar..
but we need more dimensional formulas….
rlllyyy nycc n helpfulll….
Gud1,,, BT MOre D.Fs SHud BE Dea,,, Sm r MissINg,, Tnx
very good but need more dimensional formulas (umer sn)
Name few physical quantities whose dimensional formula’s you want to know.
hum kya chahatay aazadi jis kashmir ko khoon se sencha wo kashmir hamara hai.
its really a very good table.
it was very helpful to us but not up 2 the mark
its nice
I am with an I.Com background and now is studing IT Physics and facing a lot of problems in first semester.I was in need of Dimentions of SI units for average learning but reading the table above I have knewed extra ordinary information about dimentions.Thank you very much for this help!!!
I m now studing in class 11 & i m facing lots of problem in physics.
Wow!!,it really helped with my homework.
sir plz check about the dimensional formula of angular momentum and angular impulse, i hav a doubt wid d gvn infrmtn.
This is osem. This table help me lot.i
mashALLAH
very very good excelent
here the dimensional formula of density is incorrect as it should be l3……………..kindly make the changes …..
It was really very helpful, but i don’t understand the Planck’s constant, can you tell the derivation, I always end up with [M L^2 T^3]… how does it become T^1 ? I have a test on monday, please help ! Also I have the same problem with Coefficient of Viscocity, I get M^1 L^1 T^3 ! instead of T^1. Is there some specific reason for this ? :(
We can derive dimensional formulas of physical quantities from their units also.Hence, the unit of plank’s constant is Joulesec ,Joule(Unit of Energy) – D.F is ML^2T^2 and sec(Unit of time) – D.F is T . If we multiply these two (ML^2T^2)(T)= ML^2T^1.Similarly Coefficient of viscosity = . D.F of Stress is M L ^1 T^2 and D.F of Velocity is reciprocal of time i.e T^1.Therefore D.F Of Coefficient of viscosity=(M L ^1 T^2)/( T^1)=M L ^1 T^1.Hope this clarifies your doubt.
:) thank u soo much. i scored full marks in my test !
Nice they are very helpful thanks
yeah its very helpful but i think explanation should be there……………..:)
[L][M][T2][A2] IS DIMENSION FOR PERMEABILITY OF FREE SPACE
HERE
T2 =PER TIME SQUARE AND SAME FOR A
Sorry,I am unable to understand your question.
EXCELLENT CLLECTION OF UNITS ,,,,,,,,,,,,,,,,,,,,,,,,,,,AND THE GOOD THING IS THAT THE ORGANISER OF THIS TABLE LISTENS TO SHORTCOMINGS AND IMPROVES THIS TABLE
it is nicely arranged but some of the formulaes are missing but these formulaes are enough for +1
It’s very good and I think it sufficiet to get more DF’s. (D.K.)
now that’s what i wanted . it is the most helpful one
still need alot of formulae to be added here like light intensity etc
areee….kitni sari..formules hai……….adhi toh tappi bhi nai padti.any easy way 4 tis?2 rembr??????????????????????????????
The Formula of “Electric Conductance” is wrong
Can you give me dimensional equations for magnetic quantities.
dimensional formula of viscocity?
It is there in the table sno:30
i want the dimension formula of surface tension and citical velocity plz reply as earliar as possible….
i love dimension ans uint
yr its good but i want more dimensional formula , but i thanks to it becose with the help of table i done my home work ……… Thanks to the formulas
good but expected more!!!
i m very happy because my problem is solve now. thankyou very much.
Helpful fun of knowledge,great work dude,keep going good….
thanks for the formulas
i m really feling proud.this techneque i really liked it fantastic fabulous and fantabulous
Thanks to all who gives these physics material and helps to all in solving the problem:::::::fantastic miss u shaz:::
i need the dimention of tesla and weber that are related to magnetism
Mr.Shoib ,Tesla is the unit of flux density and weber is the unit of flux.As desired by you I added these physical quantities to the table as 49& 48 entries respectively.
no
there r only 7274 written some more need to be written like ryderberg’s constant!!!!!
its very help full…..
but i can’t understand dimension of stefan constant i think its [M^1L^0T^3K^4] not [M1^L^0T^3K^4] Plz explain……
i really liked the table,becoz it is just like the book .thanks a lot .
when i lost my very important dimentional table for ,but when i saw this table i really got help from this thanksss…
nice work done .i need some more dimrensions as i am preparing for entry test mcat
Can anyone explain me relationship between accleration,radius and velocity using dimensional formulaes?
the information is presented in a good which has really helped me
Lazy Way To Succes…..♥
hey nice…:p
aur kya comment karun….
wat a table thank u to the 1 who did this
This is very good and short and very help full for all student
GREAT , IT’S REALLY HELPFUL .THAT WAS MY NEED .WHICH I GET NOW.
what is the dimension of radioactivity
WHATS THE DIMENSION OF RESISTIVITY??????????/
l like this but some thing is less comfortable and this dimention should also express in electrostatic system of unit . And also in eletromegnetic system of unit.
this table helps me alot 4 my entry test preptn thank u so much…
k ho yar science ma force ko dimensional formulae k ho
Gud table bro. Keep it up!!
haaaaaaaaaaa so huge man……….!!!!!!!!!!!!
Really its very easy to learn but if some trics are given to find dimensional formula that’s much better
very great site
hai myself n.nithin from new delhi this was very nice but somemore amendments like adding more stuff like increasing formulae number but anyway itwas fabulous (nithin nagulakonda b.tech)
really gud dfs usefull thanx !!!
Thanks.It was helpful.
I needed it at the time.
very good
Dimensions are important.
wt ius meantr by derivation?? :/
Thanks…………. with the help of this table i have done my asignment…………………….need more…….
hahahahahaha, but muje in sub ki zaroorat nahi hai, sab k sub nalayak ho. .bladdyyyy FOOLS. .lol
I like ur infos and i want to partner with you.
It is good for student their are many d f
most table, this is a very good table
nice
I like this way of formula seeing. i want it more in several branches scinces.
wwooowww i am so hhppy nw bcoz it very imp
i get the great help from here thanks
What is the dimension of relative velocity?plz answer
This is good but there is no option for downloadin. so put it in.
Nice
itssame as in our +1 texts.needed more plzzzzzz
add new dimension please.!
its nice,very nice
it is very good for us because it gave us more knowladge.
what is this sign (*) representing
very helpful
good inst.
Its very help full for a student
And diminsion of e=mc^2 is [ML^2T^2] and also energy diminsion is [ML^2T^2]
its gud
its go0d bt momentum is missing!!!!!!!!!!!!!! :(
nice
Many thanks for the good work its help us a lot, but kindly elevate some of the dimensional quantities
It is very helpful !
plz tell me dimension of g,G,T,K
realy its very helpul
this is veryhelpful thanku
Thankyou brother.
nice but something more was needed…..
hlpd me alot… tq :)
It was very helpful but i also need that of strain, load and effort
thanks u these dimensions are helpful for me
this table is osum.helped me a lot. superb
could get all the dimensional formulae needed
Nice
I am not satisfied…
rubbish!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
rubbish!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
rubbish!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
rubbish!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Itsssss truly veery very useful
I think electric power should be ML2T3 and not ML2T3I1
There is no formula for torque
still more dimentional formulas are needed like capacitance,resistance e.t.c .
It’s useful but more dimensions should also be given
dimensions formula of electrical admittance is incorrect.
It’s really very helpful, Thank you so much…. 😊
i want only dimensional formulas of physical quantities in mechanics only (separately)
Very good but need more dimensional formulas .
Sure,I will try to improve.
it is very helpful..it is a booklet of formulas…
very good…………….