Fundamental frequency of an open pipe is . Fundamental frequency when it is half filled with water is
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Official Solution
Correct Option: (1)
Step 1: Open Pipe
Frequency of open pipe . Step 2: Half Filled Pipe
If half submerged, it becomes a closed organ pipe of length . Step 3: Frequency Calculation
$ $ Step 4: Conclusion
The frequency remains unchanged. Final Answer: (A)
02
PYQ 2014
medium
physicsID: met-2014
Open organ pipe becomes closed. Find harmonic relation.
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Official Solution
Correct Option: (4)
Concept:
Open pipe:
Closed pipe:
Step 1: Frequency increases
Step 2: Match
03
PYQ 2014
medium
physicsID: met-2014
A massless rod is suspended by two identical strings. A mass is hung at distance from left. Fundamental frequency in AB equals 2nd harmonic in CD. Find .
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Official Solution
Correct Option: (1)
Concept:
Frequency of stretched string:
Step 1: Let tensions
Taking moments about left:
Step 2: Frequency relation
Given:
Step 3: Substitute Conclusion:
04
PYQ 2014
medium
physicsID: met-2014
Two particles execute SHM with same amplitude and frequency. When displacement is half amplitude, find phase difference.
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Official Solution
Correct Option: (4)
Concept: Step 1: Given displacement
Step 2: Opposite directions
Particles have same displacement but opposite velocities. Conclusion: