In a resonance tube experiment when the tube is filled with water up to a height of $$17.0$$ cm from bottom, it resonates with a given tuning fork . When the level is raised the next resonance with the same tuning fork occurs at a height of $$24.5$$ cm . If the velocity of sound in air is $$330$$ $$m/s$$ , the tuning fork frequency is :

Question

In a resonance  tube experiment when the tube is filled with water up to a height of $$17.0$$ cm from bottom, it resonates with a given tuning fork . When the level is raised the next resonance with the same tuning fork occurs at a height  of $$24.5$$ cm . If the velocity of sound in air is $$330$$ $$m/s$$ , the tuning fork frequency is :

Infinity Learn · Accepted Answer

For two consecutive resonance, $$L2-L1=$$ λ$$2$$​⇒$$24.5$$−$$17=$$λ$$2$$​⇒λ$$=15cmWe$$ know, $$f=v$$λ⇒f $$=$$ $$3301510$$−$$2=2200Hz$$

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