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Answer :
Final answer:
Tubes with lengths of 80 cm, 133.33 cm, and 165.33 cm will resonate with sound wavelengths of 60 cm, 100 cm, and 124 cm respectively. Therefore the correct option is A
Explanation:
When sound waves resonate in a tube closed at one end, the wavelength of the sound is related to the length of the tube. For a tube closed at one end, the standing wave inside the tube has three-fourths of its wavelength in the tube, or λ' = 4L/3. This means that tubes with lengths equal to 4 times the wavelength divided by 3 will resonate with the sound.
Therefore, for the given wavelengths of 60 cm, 100 cm, and 124 cm, the corresponding tube lengths that will resonate with the sound are:
- A tube length of 4 times 60 cm divided by 3, which is 80 cm
- A tube length of 4 times 100 cm divided by 3, which is approximately 133.33 cm
- A tube length of 4 times 124 cm divided by 3, which is approximately 165.33 cm
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