For an organ pipe completely closed at one end, the fundamental frequency is f. What are the frequencies of the next two higher harmonics? MCQ with Answer and Explanation
For an organ pipe completely closed at one end, the fundamental frequency is f. What are the frequencies of the next two higher harmonics?
A. 2f and 3f
B. 4f and 6f
C. 2f and 4f
D. 3f and 5f
Answer: Option D
Solution (By JKSSB Mock Tests)
An organ pipe closed at one end features a node at the closed end and an antinode at the open end. Because of these boundary conditions, it can only support odd harmonics. If the fundamental frequency (1st harmonic) is f, the next permissible frequencies are the 3rd harmonic (3f), 5th harmonic (5f), 7th harmonic (7f), and so forth.
Explanation:
Gamma rays have wavelengths < 10⁻¹² m, shortest in EM spectrum. X-rays 10⁻¹⁰-10⁻⁸ m. UV 10⁻⁸-4×10⁻⁷ m. IR longer. So gamma rays shortest. Highest frequency, energy.
Explanation:
Beats (periodic amplitude variation from interference of close frequencies) are used to tune instruments: adjust until beats disappear (frequencies match). Also, in Kundt's tube or other methods, beat frequency helps measure sound speed by comparing known and unknown frequencies. Memory tip: 'Beats: tuning (zero beat = matched frequency); speed measurement (beat frequency = |f₁-f₂|)'. This application question tests wave phenomena uses, frequently appearing in competitive exams. Always link physical phenomena to practical applications; competitive exams emphasize real-world relevance of physics concepts.
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