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A tuning fork with frequency 800Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75cm, 31.25cm and 5275cm. The speed of sound in air is?
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A tuning fork with frequency 800Hz produces resonance in a resonance c...
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A tuning fork with frequency 800Hz produces resonance in a resonance c...
Given:
- Frequency of the tuning fork = 800 Hz
- Resonance column tube lengths = 9.75 cm, 31.25 cm, and 5275 cm
To Find:
- Speed of sound in air
Explanation:
The resonance in the column tube occurs when the length of the tube is an integral multiple of half-wavelengths of the sound wave produced by the tuning fork.
Step 1: Finding the Wavelengths:
Using the formula for wavelength: λ = v/f
Where λ is the wavelength, v is the speed of sound, and f is the frequency of the tuning fork.
We can rearrange the formula to find the speed of sound, v: v = λ*f
Step 2: Calculating the Speed of Sound:
Using the given resonance column tube lengths, we can calculate the wavelengths corresponding to each resonance length.
For the first resonance length of 9.75 cm:
- The length of the tube is equal to λ/2, where λ is the wavelength.
- Therefore, λ = 2 * 9.75 cm = 19.5 cm
For the second resonance length of 31.25 cm:
- The length of the tube is equal to 3λ/2.
- Therefore, λ = 2 * 31.25 cm / 3 = 41.67 cm
For the third resonance length of 5275 cm:
- The length of the tube is equal to 5λ/2.
- Therefore, λ = 2 * 5275 cm / 5 = 2110 cm
Step 3: Calculating the Speed of Sound:
Using the formula v = λ*f, we can calculate the speed of sound for each resonance length.
For the first resonance length:
v = 19.5 cm * 800 Hz = 15600 cm/s
For the second resonance length:
v = 41.67 cm * 800 Hz = 33336 cm/s
For the third resonance length:
v = 2110 cm * 800 Hz = 1688000 cm/s
Final Answer:
The speed of sound in air is 15600 cm/s, 33336 cm/s, and 1688000 cm/s for the resonance lengths of 9.75 cm, 31.25 cm, and 5275 cm respectively.
- Frequency of the tuning fork = 800 Hz
- Resonance column tube lengths = 9.75 cm, 31.25 cm, and 5275 cm
To Find:
- Speed of sound in air
Explanation:
The resonance in the column tube occurs when the length of the tube is an integral multiple of half-wavelengths of the sound wave produced by the tuning fork.
Step 1: Finding the Wavelengths:
Using the formula for wavelength: λ = v/f
Where λ is the wavelength, v is the speed of sound, and f is the frequency of the tuning fork.
We can rearrange the formula to find the speed of sound, v: v = λ*f
Step 2: Calculating the Speed of Sound:
Using the given resonance column tube lengths, we can calculate the wavelengths corresponding to each resonance length.
For the first resonance length of 9.75 cm:
- The length of the tube is equal to λ/2, where λ is the wavelength.
- Therefore, λ = 2 * 9.75 cm = 19.5 cm
For the second resonance length of 31.25 cm:
- The length of the tube is equal to 3λ/2.
- Therefore, λ = 2 * 31.25 cm / 3 = 41.67 cm
For the third resonance length of 5275 cm:
- The length of the tube is equal to 5λ/2.
- Therefore, λ = 2 * 5275 cm / 5 = 2110 cm
Step 3: Calculating the Speed of Sound:
Using the formula v = λ*f, we can calculate the speed of sound for each resonance length.
For the first resonance length:
v = 19.5 cm * 800 Hz = 15600 cm/s
For the second resonance length:
v = 41.67 cm * 800 Hz = 33336 cm/s
For the third resonance length:
v = 2110 cm * 800 Hz = 1688000 cm/s
Final Answer:
The speed of sound in air is 15600 cm/s, 33336 cm/s, and 1688000 cm/s for the resonance lengths of 9.75 cm, 31.25 cm, and 5275 cm respectively.
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A tuning fork with frequency 800Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75cm, 31.25cm and 5275cm. The speed of sound in air is?
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A tuning fork with frequency 800Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75cm, 31.25cm and 5275cm. The speed of sound in air is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A tuning fork with frequency 800Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75cm, 31.25cm and 5275cm. The speed of sound in air is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tuning fork with frequency 800Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75cm, 31.25cm and 5275cm. The speed of sound in air is?.
A tuning fork with frequency 800Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75cm, 31.25cm and 5275cm. The speed of sound in air is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A tuning fork with frequency 800Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75cm, 31.25cm and 5275cm. The speed of sound in air is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tuning fork with frequency 800Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75cm, 31.25cm and 5275cm. The speed of sound in air is?.
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