A turning fork of frequency 340Hz is vibrated just above a cylindrical tube of height 1.2m. If water is slowly poured into the tube, at what maximum height will resonance occur.
[speed of sound in air = 340ms-1]
[speed of sound in air = 340ms-1]
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Correct Answer: Option D
Explanation:
In vibration in a closed pipe/tube, the first resonance occurs at a position L = V/4f,
when reading from the top of the tube,
L1 = _340
4 x 340
= 0.25m
L2 = 3V/4f
L2 = 3 x 340
4 x 340
= 0.75m
L3 = 5V/4f
L3 = 5 x 340
4 x 340
= 1.25m
However, the effective length of the tube is 1.2m.
Thus reading from below, the first position of resonance will be 1.20 - 0.75m = 0.45m
In vibration in a closed pipe/tube, the first resonance occurs at a position L = V/4f,
when reading from the top of the tube,
L1 = _340
4 x 340
= 0.25m
L2 = 3V/4f
L2 = 3 x 340
4 x 340
= 0.75m
L3 = 5V/4f
L3 = 5 x 340
4 x 340
= 1.25m
However, the effective length of the tube is 1.2m.
Thus reading from below, the first position of resonance will be 1.20 - 0.75m = 0.45m