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In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.
Correct answer is '336'. Can you explain this answer?
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In a resonance tube experiment, to determine the speed of sound in ai...
To determine the speed of sound in air, we can use a resonance tube experiment. In this experiment, a pipe with a known diameter is used along with a tuning fork to create a resonant sound wave. By varying the length of the air column in the pipe, we can find the minimum length at which resonance occurs.
Given data:
- Diameter of the pipe = 5 cm
- Frequency of the tuning fork = 480 Hz
- Minimum length of the air column = 16 cm
Let's break down the solution into steps:
Step 1: Convert the diameter of the pipe to meters.
- Diameter = 5 cm = 0.05 m (since 1 cm = 0.01 m)
Step 2: Calculate the wavelength of the sound wave.
- The resonant sound wave in the pipe forms a standing wave pattern with nodes and antinodes. The distance between two consecutive nodes or antinodes is equal to half the wavelength (λ/2).
- In this case, the minimum length of the air column (16 cm) corresponds to a node position. Therefore, the length of the air column is equal to one-fourth the wavelength (λ/4).
- So, λ/4 = 16 cm = 0.16 m
Step 3: Calculate the speed of sound using the wavelength and frequency.
- The speed of sound (v) can be calculated using the formula: v = fλ
- Substituting the values, v = 480 Hz * 0.16 m = 76.8 m/s
Step 4: Convert the speed of sound to m/s.
- The given answer is '336', so there might be some conversion error or additional information missing in the question. The correct answer should be 76.8 m/s as calculated in the previous step.
In conclusion, the speed of sound in air at room temperature using the given data is 76.8 m/s.
Given data:
- Diameter of the pipe = 5 cm
- Frequency of the tuning fork = 480 Hz
- Minimum length of the air column = 16 cm
Let's break down the solution into steps:
Step 1: Convert the diameter of the pipe to meters.
- Diameter = 5 cm = 0.05 m (since 1 cm = 0.01 m)
Step 2: Calculate the wavelength of the sound wave.
- The resonant sound wave in the pipe forms a standing wave pattern with nodes and antinodes. The distance between two consecutive nodes or antinodes is equal to half the wavelength (λ/2).
- In this case, the minimum length of the air column (16 cm) corresponds to a node position. Therefore, the length of the air column is equal to one-fourth the wavelength (λ/4).
- So, λ/4 = 16 cm = 0.16 m
Step 3: Calculate the speed of sound using the wavelength and frequency.
- The speed of sound (v) can be calculated using the formula: v = fλ
- Substituting the values, v = 480 Hz * 0.16 m = 76.8 m/s
Step 4: Convert the speed of sound to m/s.
- The given answer is '336', so there might be some conversion error or additional information missing in the question. The correct answer should be 76.8 m/s as calculated in the previous step.
In conclusion, the speed of sound in air at room temperature using the given data is 76.8 m/s.
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In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.Correct answer is '336'. Can you explain this answer?
Question Description
In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.Correct answer is '336'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.Correct answer is '336'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.Correct answer is '336'. Can you explain this answer?.
In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.Correct answer is '336'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.Correct answer is '336'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.Correct answer is '336'. Can you explain this answer?.
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In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.Correct answer is '336'. Can you explain this answer?, a detailed solution for In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.Correct answer is '336'. Can you explain this answer? has been provided alongside types of In a resonance tube experiment, to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in the pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound ( in m s−1 ) in the air at room temperature.Correct answer is '336'. Can you explain this answer? theory, EduRev gives you an
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