COMEDK · Physics · 16. Waves and Sound

In a resonance column experiment, the first resonance is obtained, when the level of the water in tube is 20 cm from the open end.
Resonance will also be obtained when the water level is at a distance of

A 40 cm from the open end
B 60 cm from the open end
C 80 cm from the open end
D 90 cm from the open end

Verified Solution

Answer & Solution

Correct Answer

(B) 60 cm from the open end

Step-by-step Solution

Detailed explanation

Given, \(\frac{\lambda}{4}=20 \mathrm{~cm}\) Next resonance will be obtained at \(\frac{3 \lambda}{4}=60 \mathrm{~cm}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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In a resonance column experiment, the first resonance is obtained, when the level of the water in tube is 20 cm from the open end.Resonance will also be obtained when the water level is at a distance of

Step-by-step Solution

In a resonance column experiment, the first resonance is obtained, when the level of the water in tube is 20 cm from the open end.
Resonance will also be obtained when the water level is at a distance of