Vibrating tuning fork of frequency n is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through $$8.75$$ cm, the intensity of sound changes from a maximum to minimum. If the speed of sound is $$350$$ $$m/s$$. Then n is

Question

Infinity Learn · Accepted Answer

When the piston is moved through a distance of $$8.75cm$$, the path difference produced is $$2$$×$$8.75$$ $$cm=17.5$$ cm. This must be equal to λ$$2$$ for maximum to change to minimum.  ∴λ$$2=17.5cm$$⇒λ$$=35cm=0.35mSo$$, $$v=n$$λ⇒$$n=v$$λ$$=3500.35=1000Hz$$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material