The vibrating tuning fork A produces the forced vibrations in the air column of its sound box. These vibrations are of large amplitude because of large surface area of air in the sound box . They are communicated to the sound box of the fork B. The air column of B starts vibrating with the frequency of fork A . Since the frequency of these vibrations is same as the natural frequency of the fork B , the fork B picks up these vibrations and starts vibrating under resonance. Thus the two sound boxes help in communicating the vibrations and in increasing the amplitude of vibrations.
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