Ionic equilibrium


Ionic equilibrium

1.
 Degree of dissociation or ionization  = 

For strong electrolytes   1, for weak electrolyte  < < 1

2. Ostwald's dilution law  For a weak electrolyte of type A+ B-

dissociation constant, k = 

or  = 

Where C = Concentration

            K – Dissociation constant

            V = Volume

Communication


  • Amplitude modulation (AM)
    (i)   Modulation index
    ma = 
    (ii)   Voltage equation for AM wave
    e = E sin wct = 

    (iii)  Band width = 
    (iv)  Power in AM wave
    PC = 
    Total power of side bands
    Psb = 
  • Frequency deviation
    d =  
  • Carrier swing
    CS = 2 Df 
  • The effective refractive index of the ionosphere
    neff = n0 

Atoms


    Photo electric effect
  • Energy of photon, E = hn = 
  • Mass of photon, m = 
  • Momentum of photon, p = mc = 

  • Wavelength of photon, 
  • Wavelength associated with moving particle,
  • Bohr’s Theory of Hydrogen Spectrum:
    (1)    Orbital Velocity : 
    v =             
  • Radii of Orbits : 
                           
  • Time Period :
    T =                                                 
  • Energy of the Electron:

Work Power Energy


Work Power Energy:
  • W = 
  • Work done by variable force
    W = dw = 
  • Work done against friction on a level surface W = F × S =  mgs ('' is coefficient of friction) 
  • The work done in lifting a body of mass m having density inside a liquid of density through a height h is (a = 0)
    W = mgh
  • Work done in stretching or compressing a spring is 

Wave motion


Wave motion 
  • Wave equation
  • Propagation constant
  • Wave velocity
    v = 
  • Intensity
    I = 22n2Av = 
  • Energy density = 22n2a2 = 

VECTOR


VECTOR
  • Unit vector 
  • Polygon Law 
  • Parallelogram Law R2 -; P2 + Q2 + 2 PQ cos 
  • If A and B are in some direction, then |R| = A + B.
  • If magnitude of A and B is the same, then |R| = 2 A cos /2.
  • Triangular law |R| = 

    Tan  = 
  • Rmax = | P + Q |, if  = 0
  • Rmax = |P -; Q |, if  = 1800