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 (a) 117.7 cm (b) 92.9 cm (c) 115.5 cm (d) 113.5 cm

Answer: (a). Successive resonances differ by (λ)/(2): (λ)/(2) = 70.2 - 22.7 = 47.5 cm. Third resonance: l₃ = l₂ + (λ)/(2) = 70.2 + 47.5 = 117.7 cm So the answer is (a) 117.7 cm.

In resonance tube, first and second resonance are obtained at depths… | MHT CET 2023 (13 May, Shift 1)

Q72MHT CET 2023 · 13 MAY · SHIFT 1Medium

Organ Pipes & Resonance Tube

In resonance tube, first and second resonance are obtained at depths $22.7\text{ cm}$ and $70.2\text{ cm}$ respectively. The third resonance will be obtained at a depth

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Answer: (a)

Successive resonances differ by $\frac{\lambda}{2}$ : $\frac{\lambda}{2} = 70.2 - 22.7 = 47.5$ cm.
Third resonance: $l_3 = l_2 + \frac{\lambda}{2} = 70.2 + 47.5 = 117.7$ cm
So the answer is (a) 117.7 cm.

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