SATHEE: Wave Motion 2 Question 18

Wave Motion 2 Question 18

18. A closed organ pipe of length $L$ and an open organ pipe contain gases of densities $ρ_{1}$ and $ρ_{2}$ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe is $(2004, 2 M)$

(a) $\frac{L}{3}$

(b) $\frac{4 L}{3}$

(d) $\frac{4 L}{3} \sqrt{\frac{ρ_{2}}{ρ_{1}}}$

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Answer:

Correct Answer: 18. (c)

Solution:

$f_{c} = f_{o}$

(both first overtone)

$\begin{aligned} or & 3 (\frac{v_{c}}{4 L}) & = 2 (\frac{v_{o}}{2 l_{o}}) \\ ∴ & l_{o} & = \frac{4}{3} (\frac{v_{o}}{v_{c}}) L = \frac{4}{3} \sqrt{\frac{ρ_{1}}{ρ_{2}}} L as v \propto \frac{1}{\sqrt{ρ}} \end{aligned}$

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Wave Motion 2 Question 18

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 18

18. A closed organ pipe of length L and an open organ pipe contain gases of densities ρ1 and ρ2 respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe is (2004,2M)

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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