The stem of a tuning fork is pressed against a table top. Answer the following questions: $(i)$ Would the above action produce any audible sound? $(ii)$ Does the above action cause the table to set into vibrations? $(iii)$ If the answer above is yes,what type of vibrations are they? $(iv)$ Under what conditions does the above action lead to resonance?

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(N/A) $(i)$ Yes,an audible sound is produced because the large surface area of the table forces more air molecules to vibrate,increasing the intensity of the sound.
$(ii)$ Yes,the table top is set into vibrations by the stem of the tuning fork.
$(iii)$ These vibrations are known as 'forced vibrations' because the table is forced to vibrate at the frequency of the tuning fork.
$(iv)$ Resonance occurs when the frequency of the vibrating tuning fork exactly matches the natural frequency of the table top,resulting in a significantly louder sound.

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