| A2 Module 4 Waves, Fields and
      Nuclear Energy | |
| Introduction: 
      This is the first A2 module building on the key ideas and knowledge
      covered in AS. The properties of waves are covered, gravitational and
      electric fields are introduced, as are the magnetic effects of currents.
      Candidates will also study the practical application of nuclear fission as
      a source of energy. | |
| 
      Oscillations
      and Waves | |
| 
 Questions on SHM from Breithaupt 
 | Characteristic features of simple harmonic motion Exchange of potential and kinetic energy in oscillatory motion Understanding and use of the following equations a = - (2pf)2x x = Acos2pft v = ±2pf ÖA2 - x2 Graphical rep representations linking displacement, velocity, acceleration time and energy Velocity as gradient of displacement /time graph Simple pendulum and mass -spring as examples and use of the equations T = 2pÖl/g simple pendulum T = 2pÖm/k spring pendulum Candidates
      should have experience of the use of data logging techniques in analysing
      mechanical and oscillatory systems | 
| 
      Free
      and forced vibration old SHM multi-choice answers - commentary on the answers | Qualitative treatment of free and forced vibration Resonance and the effects of damping Examples
      of these effects from more than one branch of Physics e.g. production of
      sound in a pipe instrument or mechanical vibrations in a moving vehicle 
       | 
| Oscillation of the particles of the medium Amplitude, frequency, wavelength, speed, phase, path difference Recall and use of c
      = fl  | |
| Longitudinal
      waves and transverse waves 
 | Examples including sound and electro- magnetic waves Polarisation 
      
      as evidence for the nature of transverse waves; applications, e.g.
      polaroid sunglasses   | 
| 
      Super-
      position
      of waves, stationary waves
      
       
 | The formation of stationary waves by two waves of the same frequency travelling in opposite directions; no mathematical treatment required Simple
      graphical represent- ations of stationary waves, nodes and antinodes on
      strings and in pipes. 
       | 
| The concepts of path difference and coherence Require- ments of two source and single source double-slit systems for the production of fringes The appearance of the interference fringes produced by a double slit system. l
      = ws / D | |
| simple explanation of diffraction   | Appearance of the diffraction pattern from a single slit The plane transmission diffraction grating at normal incidence Optical details of the spectrometer will not be required Derivation of: nl= d sin q  Applications, e.g. to spectral analysis of light from
      stars   | 
|   | Recall
      and use of  C = Q /V | 
| 
      Energy
      stored by capacitor
          | Derivation and use of E = 1/2 QV and
      interpret- ation of area under a graph of charge against p.d. | 
| 
      Graphical
      rep- resentation 
      
       of charging and discharging of capacitors through resistors
      
       | time constant = RC Calculation
      of time constants including their determin- ation from graphical data  | 
| Quantitative
      treatment of capacitor discharge | Q = Qo e -t/RC Candidates
      should have experience of the use of a voltage sensor and datalogger to
      plot discharge curve for a capacitor  | 
| 
      Uniform
      motion in a circle  | w = v/r w = 2pf a = v2 / r = rw2 where
       is w angular
      speed | 
| 
      Centripetal
      force equation  | Recall and use of F
      = - mv2 / r  | 
| 
      Gravity,
      Newton’s law, the gravitational constant | F = - Gm1m2 / r2 Methods
      for measuring G are not included  | 
| Gravitational
       
      field strength 
       | g=F/m g = -GM/r2 (radial field) g
      = -DV/Dr | 
| Gravitational
      potential V | V = -GM/r radial field) Graphical
      represent- ations of variations of g and V with r | 
| 
      Motion
      of masses in gravitational fields  | Circular
      motion of planets and satellites including geo- synchronous orbits 
       | 
| Coulomb’s
      law, permittivity of free space | Recall and use of F
      = 1/4pe0    Q1Q2/r2
       | 
| 
      Electric
      field strength E  | Application, e.g. estimation of forces at closest approach in Rutherford alpha particle scattering E = F/Q E= V/d (uniform field) E
      = 1/4pe0  Q/r2  
      (radial field) | 
| Electric
      potential | V
      = 1/4pe0  Q/r | 
| Motion of charged particles in an electric field | Trajectory
      of particle beams  | 
| 
      Similarities
      and differences between electric and gravi- tational fields | No
      quantitative comparisons required | 
| Force
      on a current carrying wire in a magnetic field | F
      =
      BIl (field
      perpendicular to current)  | 
| Motion
      of charged particles in a magnetic field | F = BQv (field perpendicular to velocity) Circular
      path of particles; application, e.g. charged particles in a cyclotron | 
| Magnetic
      flux density B, flux f flux linkage | f
      =  BA, B normal to A | 
| 
      Electro-
      magnetic
      induction
        
          | Simple experimental phenomena, Faraday’s and Lenz’s laws For a flux change at a uniform rate magnitude of induced e.m.f. = N Df / Dt Applications,
      e.g. p.d. between wing-tips of aircraft in flight | 
| 
      Mass
      and energy
          | Simple calculations on nuclear trans- formations; mass difference; binding energy Atomic mass unit, u Conversion
      of units; 1u = 9 E = mc² Appreciation that E = mc² applies to all energy changes Graph of average binding energy per nucleon against nucleon number, A Fission and fusion processes. | 
| Induced
      fission   | Induced fission by thermal neutrons Possibility of a chain reaction Critical mass Need for a moderator in thermal reactors Control of the reaction rate Factors influencing choice of material for moderator, control rods and coolant Examples
      of materials  | 
| Safety
      aspects | Fuel used, shielding, emergency shut-down Production,
      handling and disposal of active wastes | 
| Artificial
      trans- mutation | Production
      of man-made nuclides and examples of their practical applications, e.g. in
      medical diagnosis. | 
| Waves and nuclear applications past questions from old A-level PH02 Summer2001 to Spring1998 | |
| Waves and nuclear applications past questions from old A-level PH02 Summer1997 to Spring1995 | |
| 
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| Further Links |