MHT CET 2022 Physics question
A pipe closed at one end has length 0.8 m. 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 the pipe. If the tension in the wire is 50 N and the speed of sound is 320 m/s, the mass of the string used is
Answer: (D)
Solution
Fundamental frequency of the closed pipe: . The string (fixed at both ends, length m) vibrating in its second harmonic has . Setting this equal to 100 Hz:
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