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WAEC Physics 2025 Theory — Question 17

Question 17 of 34 from the West African Examinations Council (WAEC) Physics 2025 Theory paper, with the correct answer and a full explanation.

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10(b) A 40 cm tube closed at one end resonates at its fundamental frequency with a tuning fork of unknown frequency. If the end correction of the tube is 3.2 cm, determine the frequency of the fork. [Velocity of sound in air is 330 ms⁻¹]

Model answer

For a closed pipe at fundamental frequency: l + e = λ/4 → λ = 4(l+e) = 4(40+3.2) = 4×43.2 = 172.8 cm = 1.728 m. f = v/λ = 330/1.728 ≈ 191 Hz.

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