In resonance tube experiment, a closed organ pipe of length $$124$$ cm resonates when activated by a tuning fork of frequency $$340$$ Hz. If more water is poured in the pipe then [speed of sound in air is $$340$$ $$ms-1$$]

Question

Infinity Learn · Accepted Answer

Wavelength  $$=340340=1$$ mIdeal resonating lengths are  $$14m$$,  $$34m$$,  $$54m$$,  ...For fifth harmonic to occur, total vibrating length should be $$1.25$$ m.∴ end correction $$=$$ e $$=$$ $$1.25-1.24$$ $$=$$ $$0.01$$ m $$=$$ $$1$$ cmSo, e $$=$$ $$1$$ cm $$=$$ $$0.3$$ $$d(diameter)$$ d $$=$$ $$3.3$$ cmThe minimum finite length of water column to have resonance $$=$$ $$1.25$$ $$-$$ $$0.75$$ $$=$$ $$0.5$$ mHence minimum length of air column $$=$$ $$0.25$$ – $$0.01$$ m                                                           $$=$$ $$0.24$$ m $$=$$ $$24$$ cmThe difference between two successive readings at resonances  $$=$$ $$74$$ cm $$-$$ $$24$$ cm $$=$$ $$50$$ cm

Q.

Unlock the Full Solution and Master the Concept