In resonance tube, first and second resonance are obtained at depths 22.7 ~cm and 70.2 ~cm respectively. The third resonance will be obtained at a depth

Step-by-step solution

First resonance will occure at l₁+ x = 4 Second resonance will occure at l₂+ x = 3 4 Second resonance will occure at l₂+ x = 3 4 aligned & l₂+ x =3 (l₁+ x ) & l₂+ x =3 l₁+3 x & 2 x =l₂-3 l₁ & x = l₂-3 l₁ 2 & = 70.2-68.1 2 =1.05 ~cm aligned Third resonance occurs at l₃+ x = 5 4 aligned l₃ & =5 (l₁+ x )- x & =5 l₁+4 x & =113.5+4.2 & =117.7 ~cm aligned