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Two open organ pipes of fundamental frequencies n1 and n2 are joined in series.The fundamental frequency of the new pipe so obtained will be?
Most Upvoted Answer
Two open organ pipes of fundamental frequencies n1 and n2 are joined i...
Explanation:
1. Series Combination of Open Pipes:
When two open pipes are joined in series, the total length of the combined pipe is the sum of the lengths of the individual pipes. The fundamental frequency of the combined pipe is determined by the formula:
\[ f = \frac{v}{2L} \]
where:
- \( f \) = fundamental frequency
- \( v \) = speed of sound in air
- \( L \) = total length of the combined pipe
2. Calculation of Total Length:
Given that the fundamental frequencies of the two open pipes are \( n_1 \) and \( n_2 \), the lengths of the pipes can be calculated using the formula:
\[ L_1 = \frac{v}{2n_1} \]
\[ L_2 = \frac{v}{2n_2} \]
The total length of the combined pipe is:
\[ L = L_1 + L_2 \]
3. Calculation of Fundamental Frequency:
Substitute the total length \( L \) into the formula for fundamental frequency to find the new fundamental frequency \( n \) of the combined pipe:
\[ n = \frac{v}{2L} \]
4. Conclusion:
The fundamental frequency of the new pipe obtained by joining the two open pipes in series can be determined by calculating the total length of the combined pipe and then using the formula for fundamental frequency. This process allows us to find the resulting frequency based on the individual frequencies of the original pipes.
1. Series Combination of Open Pipes:
When two open pipes are joined in series, the total length of the combined pipe is the sum of the lengths of the individual pipes. The fundamental frequency of the combined pipe is determined by the formula:
\[ f = \frac{v}{2L} \]
where:
- \( f \) = fundamental frequency
- \( v \) = speed of sound in air
- \( L \) = total length of the combined pipe
2. Calculation of Total Length:
Given that the fundamental frequencies of the two open pipes are \( n_1 \) and \( n_2 \), the lengths of the pipes can be calculated using the formula:
\[ L_1 = \frac{v}{2n_1} \]
\[ L_2 = \frac{v}{2n_2} \]
The total length of the combined pipe is:
\[ L = L_1 + L_2 \]
3. Calculation of Fundamental Frequency:
Substitute the total length \( L \) into the formula for fundamental frequency to find the new fundamental frequency \( n \) of the combined pipe:
\[ n = \frac{v}{2L} \]
4. Conclusion:
The fundamental frequency of the new pipe obtained by joining the two open pipes in series can be determined by calculating the total length of the combined pipe and then using the formula for fundamental frequency. This process allows us to find the resulting frequency based on the individual frequencies of the original pipes.
Community Answer
Two open organ pipes of fundamental frequencies n1 and n2 are joined i...
N= n1×n2/ n1+n2
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Two open organ pipes of fundamental frequencies n1 and n2 are joined in series.The fundamental frequency of the new pipe so obtained will be?
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Two open organ pipes of fundamental frequencies n1 and n2 are joined in series.The fundamental frequency of the new pipe so obtained will be? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two open organ pipes of fundamental frequencies n1 and n2 are joined in series.The fundamental frequency of the new pipe so obtained will be? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two open organ pipes of fundamental frequencies n1 and n2 are joined in series.The fundamental frequency of the new pipe so obtained will be?.
Two open organ pipes of fundamental frequencies n1 and n2 are joined in series.The fundamental frequency of the new pipe so obtained will be? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two open organ pipes of fundamental frequencies n1 and n2 are joined in series.The fundamental frequency of the new pipe so obtained will be? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two open organ pipes of fundamental frequencies n1 and n2 are joined in series.The fundamental frequency of the new pipe so obtained will be?.
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