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2009 WAEC Physics Theory (a) State two differences between a sound wave and a radio wave. (b) Explain why...

Physics
WAEC 2009

(a) State two differences between a sound wave and a radio wave.

(b) Explain why a vibrating tuning fork sounds louder when its stem is pressed against a table top than when held in air.

(c)State two conditions necessary for the:

  • production of stationary wave in a medium;
  • formation of interference wave patterns;
  • occurrence of total internal reflection of a wave.

(d) A ray of light is incident on one face of an equilateral glass prism.

  • Draw a ray diagram to show the path of the ray through the prism.
  • Calculate the refractive index of the glass if the angle of minimum deviation is 41\(^o\).

 

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Explanation

(a) Differences between a sound wave and a radiowave

Sound wave Radio wave
is a mechanical wave is an electromagnetic wave
  is longitudinal is transverse
has speed less than speed of light. has speed equal to that of light
requires a material medium for propagation/cannot travel through vacuum.  does not require a material medium for propagation/can travel through vacuum.

 

                                                                                                                    
(b) The vibrating tuning fork forces the table top to vibrate.  The table top has a much larger area and is therefore in contact with a larger volume of air undergoing vibration.  Hence, sound heard is amplified.
                                                                                                                     
(c)       Conditions necessary for:

            (i)   production of stationary wave
-    Two waves must be traveling in opposite directions.
-     Incident and reflected waves must have the same frequency/wavelength.
-     Incident and reflected waves must have equal amplitude.
-     There must be superimposition.
-     There must be a barrier

(ii)    formation of interference wave pattern
- Two sources must be involved.
- The two sources must be coherent/have a constant phase difference as well as the same frequency and amplitude.
- The waves that are interfering must have the same amplitude
-  The distance between the sources must be of the order of the wavelengths of the waves.

  (iii)   total internal reflection
   -  The wave must be traveling from a denser medium to a less dense medium
   -  The angle of incidence of the wave in the denser medium must be greater than the critical angle for the medium.
                                                      

                                                                  
(d)(i)  Diagram

                        Correct diagram                                                                                 

            (ii)                 \(\frac{ Sin (A + dm)}{2}\)
                      n  =                                  
                                   Sin (A/2)
                                                                                     
                                  Sin (60 + 41)/2
                                                                       
                                  Sin   (60/2)                                                                   

                                        =   1.54  


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