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Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air [2011]
- a)decreases by a factor 10
- b)increases by a factor 20
- c)increases by a factor 10
- d)decreases by a factor 20
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Sound waves travel at 350 m/s through a warm air and at 3500 m/s throu...
We have, v = nλ
⇒ v ∝ λ (as n remains constant) Thus, as v in creases 1 0 times, λ also increases 10 times.
Most Upvoted Answer
Sound waves travel at 350 m/s through a warm air and at 3500 m/s throu...
Explanation:
The speed of sound in a medium is given by the formula:
\[
v = f\lambda
\]
Where:
- \(v\) = speed of sound
- \(f\) = frequency of the wave
- \(\lambda\) = wavelength of the wave
Given:
- Speed of sound in warm air (\(v_{warm}\)) = 350 m/s
- Speed of sound in brass (\(v_{brass}\)) = 3500 m/s
- Frequency of the wave (\(f\)) = 700 Hz
Calculating the wavelength in warm air:
Using the formula \(v = f\lambda\), we can calculate the wavelength in warm air (\(\lambda_{warm}\)):
\[
350 = 700 \times \lambda_{warm}
\]
\[
\lambda_{warm} = \frac{350}{700} = 0.5 m
\]
Calculating the wavelength in brass:
Using the formula \(v = f\lambda\), we can calculate the wavelength in brass (\(\lambda_{brass}\)):
\[
3500 = 700 \times \lambda_{brass}
\]
\[
\lambda_{brass} = \frac{3500}{700} = 5 m
\]
Comparing the wavelengths:
The ratio of the wavelength in brass to the wavelength in warm air is:
\[
\frac{\lambda_{brass}}{\lambda_{warm}} = \frac{5}{0.5} = 10
\]
Therefore, the wavelength of the 700 Hz acoustic wave as it enters brass from warm air increases by a factor of 10. Hence, the correct answer is option 'c) increases by a factor 10'.
The speed of sound in a medium is given by the formula:
\[
v = f\lambda
\]
Where:
- \(v\) = speed of sound
- \(f\) = frequency of the wave
- \(\lambda\) = wavelength of the wave
Given:
- Speed of sound in warm air (\(v_{warm}\)) = 350 m/s
- Speed of sound in brass (\(v_{brass}\)) = 3500 m/s
- Frequency of the wave (\(f\)) = 700 Hz
Calculating the wavelength in warm air:
Using the formula \(v = f\lambda\), we can calculate the wavelength in warm air (\(\lambda_{warm}\)):
\[
350 = 700 \times \lambda_{warm}
\]
\[
\lambda_{warm} = \frac{350}{700} = 0.5 m
\]
Calculating the wavelength in brass:
Using the formula \(v = f\lambda\), we can calculate the wavelength in brass (\(\lambda_{brass}\)):
\[
3500 = 700 \times \lambda_{brass}
\]
\[
\lambda_{brass} = \frac{3500}{700} = 5 m
\]
Comparing the wavelengths:
The ratio of the wavelength in brass to the wavelength in warm air is:
\[
\frac{\lambda_{brass}}{\lambda_{warm}} = \frac{5}{0.5} = 10
\]
Therefore, the wavelength of the 700 Hz acoustic wave as it enters brass from warm air increases by a factor of 10. Hence, the correct answer is option 'c) increases by a factor 10'.
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Question Description
Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air [2011]a)decreases by a factor 10b)increases by a factor 20c)increases by a factor 10d)decreases by a factor 20Correct answer is option 'C'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air [2011]a)decreases by a factor 10b)increases by a factor 20c)increases by a factor 10d)decreases by a factor 20Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air [2011]a)decreases by a factor 10b)increases by a factor 20c)increases by a factor 10d)decreases by a factor 20Correct answer is option 'C'. Can you explain this answer?.
Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air [2011]a)decreases by a factor 10b)increases by a factor 20c)increases by a factor 10d)decreases by a factor 20Correct answer is option 'C'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air [2011]a)decreases by a factor 10b)increases by a factor 20c)increases by a factor 10d)decreases by a factor 20Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air [2011]a)decreases by a factor 10b)increases by a factor 20c)increases by a factor 10d)decreases by a factor 20Correct answer is option 'C'. Can you explain this answer?.
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