Ratio of lengths of a closed pipe and an open pipe that are in unison at given overtones
This type of question, asked 7 times: 9 May 2024 S1, 11 May 2024 S1, 18 Apr 2026 S1, 19 Apr 2026 S1, 12 May 2026 S1, 12 May 2026 S2, 15 May 2026 S2. All 7 questions below, oldest first.
Try each one first, then open its answer.
Question 1
9 May 2024 S1
28A closed organ pipe of length '' and an open organ pipe contain diatomic gases of densities '' and '' respectively. The compressibilities of the gases are same in both pipes, which are vibrating in their first overtone with same frequency. The length of the open organ pipe is (Neglect end correction)Tap an option to check your answer.
Question 2
11 May 2024 S1
24The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe of length . The length of the open pipe will beTap an option to check your answer.
Question 3
18 Apr 2026 S1
122Fifth overtone of an open pipe of length is in unison with the fifth overtone of the pipe closed at one end of length . The ratio to isTap an option to check your answer.
Question 4
19 Apr 2026 S1
119The third overtone of a closed pipe of length '' has the same frequency as the third overtone of the open pipe of length ''. Both the pipes have same diameters. The ratio is equal toTap an option to check your answer.
Question 5
12 May 2026 S1
123A pipe closed at one end vibrating in the sixth overtone is in unison with the open pipe vibrating in its sixth overtone. The ratio is = vibrating length of pipe closed at one end, = vibrating length of pipe open at both endsTap an option to check your answer.
Question 6
12 May 2026 S2
123The third overtone of a closed organ pipe is in unison with overtone of an open pipe. The ratio of length of closed to open pipe isTap an option to check your answer.
Question 7
15 May 2026 S2
122An organ pipe closed at one end and vibrating in its first overtone and other pipe open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of length of and will beTap an option to check your answer.