SATHEE: Wave Motion 2 Question 21

Wave Motion 2 Question 21

21. An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by $100 H z$ then the fundamental frequency of the open pipe. The fundamental frequency of the open pipe is

(1996, 2M)

(a) $200 H z$

(b) $300 H z$

(d) $480 H z$

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Answer:

Correct Answer: 21. (a)

Solution:

Length of the organ pipe is same in both the cases.

Fundamental frequency of open pipe is $f_{1} = \frac{v}{2 l}$ and

Frequency of third harmonic of closed pipe will be

$f_{2} = 3 (\frac{v}{4 l})$

Given that,

$f_{2} = f_{1} + 100$

or $f_{2} - f_{1} = 100$ or $\frac{3}{4} (\frac{v}{l}) - (\frac{1}{2}) (\frac{v}{l}) = 100$

$\Rightarrow \frac{v}{4 l} = 100 H z ∴ \frac{v}{2 l}$ or $f_{1} = 200 H z$

Therefore, fundamental frequency of the open pipe is $200 H z$ .

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Wave Motion 2 Question 21

21. An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by $100 H z$ then the fundamental frequency of the open pipe. The fundamental frequency of the open pipe is

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Wave Motion 2 Question 21

21. An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by 100Hz then the fundamental frequency of the open pipe. The fundamental frequency of the open pipe is

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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21. An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by $100 H z$ then the fundamental frequency of the open pipe. The fundamental frequency of the open pipe is