Two coherent sources of sound, $$S1$$ and $$S2$$, produce sound waves of the same wavelength, λ$$=1m$$, in phase. $$S1$$ and $$S2$$ are placed $$1.5$$ m apart (see$$ $$fig). A listener, located at L, directly in front of $$S2$$ finds that the intensity is at a minimum when he is $$2$$ m away from $$S2$$. The listener moves away from $$S1$$, keeping his distance from $$S2$$ fixed. The adjacent maximum of intensity is observed when the listener is at a distance d from $$S1$$. Then, d is :

Question

Two coherent sources of sound,  $$S1$$ and  $$S2$$, produce sound waves of the same wavelength,  λ$$=1m$$, in phase.  $$S1$$ and $$S2$$  are placed $$1.5$$ m apart (see$$ $$fig). A listener, located at L, directly in front of  $$S2$$ finds that the intensity is at a minimum when he is $$2$$ m away from  $$S2$$. The listener moves away from  $$S1$$, keeping his distance from  $$S2$$ fixed. The adjacent maximum of intensity is observed when the listener is at a distance d from  $$S1$$. Then, d is :

Infinity Learn · Accepted Answer

At L:​Phase $$difference=$$Δϕ$$=2$$πλ△$$x=2$$πλ$$S1L$$−$$S2L$$​⇒Δϕ$$=2$$$$π$$$$14+94$$−$$2=2$$$$π$$$$52$$−$$2=$$π​This means Minima is formed.  Now at other  position, ​Δϕ$$=2$$$$π$$$$1d$$−$$2=2$$π      for adjacent maxima Δϕ$$=2$$π ⇒$$d=3m$$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material