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in Physics by (50.3k points)

In a resonance-column experiment, a long tube, open at the top, is clamped vertically. By a separate device, water level inside the tube can be moved up or down. The section of the tube from the open end to the water level acts as a closed organ pipe. A vibrating tuning fork is held above the open end, and the water level is gradually pushed down. The first and the second resonances occur when the water level is 24.1 cm and 74.1 cm respectively below the open end. The diameter of the tube is 

(a) 2 cm 

(b) 3 cm 

(c) 4 cm 

(d) 5 cm

1 Answer

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Best answer

Correct Answer is: (b) 3 cm

Let d = the diameter of the tube.

λ /4 = 24.1 + 0.3d, and

3λ /4 = 74.1 + 0.3d

or λ/ 2 = 50 cm 

or λ = 100 cm.

∴ 0.3d  (λ/4 - 24.1) cm 

= (25 - 24.1) cm 

= 0.9 cm

or d = 3 cm.

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