Dimensions of Physical Quantities: Fundamental and Derived

Dimensions Dimensions is the representation of derived quantities in terms of fundamental quantity. Length: L *mass M Time : T current : AorI Temperature : k/o Amount of substance : Dimension less

I Distance, displacement, radius, length, breadth, height = [1] adidas 2 Area l x x = L2 (153, 3 volume V = l xbxh =L3 4 Density = Ls = [ml"] M= M nolygin 5 speed ,velocity, C disp = L time T [LT"] (= MoE 1/4 L T noitorsherro volugna di 6 Acceleration = V [17-2] 7 momentum, impulse =P=mr [nLT]] 8 Force F =ma (MLT 9 work, Energy, Torque ,moment of force, couple W= FxS [mL2 Har 8 TO power P 3/4 [mL'T 3] II moment of inertia I =MR2 = ML

12 pressure, stress, Y, G,C P= A F [nAL . T . 13 surface tension S= F/P [ MT Lotgied in 14 Angular displacement dx OSA B 20 A P Dimensionless: Eiz M 13 Angular velocity 3 w % 109992 à W= =T 16 Angular acceleration ( 2== t = Flf = (T2) 1 17 Frequency i if f= 1/5 f. [T']] sist to INDrol 88000 word p 18 wave number K= 20 a 9 prevoy of K= 1/1 witrod i to lasment If K= [L"]

19 Thermo olynamics 21 specific heat capacity (c) PO Heat = ML'T-2 C= Q Temp=k MAT MILT2 20 Heat capacity (s) MK S= Q AT S = ML'T-2 22 Latent heat (LF,LL) k Q=mLf S= [mL'T'k'] m = M If = [142] 23 Electricity 24 Electric field(E) current =A charge = Q I I E= F MLT2 =At =AT a AT = MLT 3 ' 25 potential 26 Electric flux v=h ME'T Q= = EACOSO Q AT = [META" 27 Resistance (R) 22 caracitance (0 R=V Q=CV I (QQ = AT = mL'T A A = ML'T-3-2 V mL'+-3A+'

way hard MURTHA 2 T (FM) 29 inductance(1) V=LclI It L=vxt (2) I L= MET'A'T' Crists bood 10:01 = [ML'T 2-2-2- RC, 1/2VVC 1/4 = Vt R I RC= 3) Dirtosi the I is RC= Q VLC = I 14 Q=It RC=It I 0417 did RC=t=T is