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String in unison with a pipe, tension 50 N, speed of sound 320 m/s: mass of the string

The same question, asked 2 times: May 2022 S1*, 15 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    May 2022 S1

    32
    A hollow pipe of length 0.8 m is closed at one end. At its open end, a 0.5 m long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of pipe. If the tension in the string is 50 N and speed of sound in air is 320 m/s, the mass of the string is

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  2. Question 2

    15 Apr 2026 S1

    122
    A Pipe open at one end has length 0.80.8 m. At the open end of the tube a string 0.50.5 m long is vibrating in its first overtone and resonates with fundamental frequency of pipe. If tension in the string is 5050 N, the mass of string is (Neglect end correction) (Speed of sound =320= 320 m/s)

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