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Beat frequency of two open organ pipes of lengths L and L + L1 sounded together

The same question, asked 3 times: 15 May 2023 S1, 22 Apr 2025 S2, 18 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    15 May 2023 S1

    7
    An open organ pipe of length ll is sounded together with another open organ pipe of length l+l1l+l_{1} in their fundamental modes. Speed of sound in air is VV. The beat frequency heard will be (l1≪ll_{1} \ll l)

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  2. Question 2

    22 Apr 2025 S2

    42
    The lengths of the two organ pipes open at both ends are ' L ' and (L+L1)\left( L +L_{1} \right). If they are sounded together, the beat frequency will be ( v=v = velocity of sound in air)

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  3. Question 3

    18 Apr 2026 S1

    123
    The lengths of the two pipes open at both ends are L and (L+L1)(L + L_1). If they are sounded together, the beat frequency will be (vv = velocity of sound in air)

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