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

(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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    Correct Answer: Option
    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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