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A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27∘C two successive resonances are produced at 20cm and 73cm of column length. If the frequency of the tuning fork is 320Hz, the velocity of sound in air at 27∘C is
- a)330ms−1
- b)339ms−1
- c)350ms−1
- d)300ms−1
Correct answer is option 'B'. Can you explain this answer?
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A tuning fork is used to produce resonance in a glass tube. The lengt...
Given information:
- Temperature (T) = 27°C = 27 + 273 = 300 K
- First resonance: length of the air column (L1) = 20 cm = 0.2 m
- Second resonance: length of the air column (L2) = 73 cm = 0.73 m
- Frequency of the tuning fork (f) = 320 Hz
Formula:
The velocity of sound (v) in air can be calculated using the formula:
v = f * λ
Where λ is the wavelength of the sound wave.
Analysis:
To solve this problem, we need to find the wavelength of the sound wave produced by the tuning fork. We can do this by finding the difference in the lengths of the air column at the two resonances and using the formula:
ΔL = λ/2
Where ΔL is the difference in the lengths of the air column and λ/2 is half the wavelength.
Solution:
1. Calculate the difference in the lengths of the air column:
ΔL = L2 - L1
ΔL = 0.73 m - 0.2 m
ΔL = 0.53 m
2. Calculate the wavelength of the sound wave:
λ = 2 * ΔL
λ = 2 * 0.53 m
λ = 1.06 m
3. Calculate the velocity of sound in air:
v = f * λ
v = 320 Hz * 1.06 m
v = 339.2 m/s
Therefore, the velocity of sound in air at 27°C is 339 m/s, which is approximately equal to 339 m/s. Hence, option B is the correct answer.
- Temperature (T) = 27°C = 27 + 273 = 300 K
- First resonance: length of the air column (L1) = 20 cm = 0.2 m
- Second resonance: length of the air column (L2) = 73 cm = 0.73 m
- Frequency of the tuning fork (f) = 320 Hz
Formula:
The velocity of sound (v) in air can be calculated using the formula:
v = f * λ
Where λ is the wavelength of the sound wave.
Analysis:
To solve this problem, we need to find the wavelength of the sound wave produced by the tuning fork. We can do this by finding the difference in the lengths of the air column at the two resonances and using the formula:
ΔL = λ/2
Where ΔL is the difference in the lengths of the air column and λ/2 is half the wavelength.
Solution:
1. Calculate the difference in the lengths of the air column:
ΔL = L2 - L1
ΔL = 0.73 m - 0.2 m
ΔL = 0.53 m
2. Calculate the wavelength of the sound wave:
λ = 2 * ΔL
λ = 2 * 0.53 m
λ = 1.06 m
3. Calculate the velocity of sound in air:
v = f * λ
v = 320 Hz * 1.06 m
v = 339.2 m/s
Therefore, the velocity of sound in air at 27°C is 339 m/s, which is approximately equal to 339 m/s. Hence, option B is the correct answer.
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Community Answer
A tuning fork is used to produce resonance in a glass tube. The lengt...
The velocity of sound in air at 27°C is v = 2(v)[L2 − L1]; where v = frequency of tuning fork and L1, L2 are the successive column length.
∴ v = 2 × 320[73 − 20] × 10−2
= 339.2ms−1 ≈ 339ms−1.
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A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27∘C two successive resonances are produced at 20cm and 73cm of column length. If the frequency of the tuning fork is 320Hz, the velocity of sound in air at 27∘C isa)330ms−1b)339ms−1c)350ms−1d)300ms−1Correct answer is option 'B'. Can you explain this answer?
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A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27∘C two successive resonances are produced at 20cm and 73cm of column length. If the frequency of the tuning fork is 320Hz, the velocity of sound in air at 27∘C isa)330ms−1b)339ms−1c)350ms−1d)300ms−1Correct answer is option 'B'. Can you explain this answer? 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 is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27∘C two successive resonances are produced at 20cm and 73cm of column length. If the frequency of the tuning fork is 320Hz, the velocity of sound in air at 27∘C isa)330ms−1b)339ms−1c)350ms−1d)300ms−1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27∘C two successive resonances are produced at 20cm and 73cm of column length. If the frequency of the tuning fork is 320Hz, the velocity of sound in air at 27∘C isa)330ms−1b)339ms−1c)350ms−1d)300ms−1Correct answer is option 'B'. Can you explain this answer?.
A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27∘C two successive resonances are produced at 20cm and 73cm of column length. If the frequency of the tuning fork is 320Hz, the velocity of sound in air at 27∘C isa)330ms−1b)339ms−1c)350ms−1d)300ms−1Correct answer is option 'B'. Can you explain this answer? 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 is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27∘C two successive resonances are produced at 20cm and 73cm of column length. If the frequency of the tuning fork is 320Hz, the velocity of sound in air at 27∘C isa)330ms−1b)339ms−1c)350ms−1d)300ms−1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27∘C two successive resonances are produced at 20cm and 73cm of column length. If the frequency of the tuning fork is 320Hz, the velocity of sound in air at 27∘C isa)330ms−1b)339ms−1c)350ms−1d)300ms−1Correct answer is option 'B'. Can you explain this answer?.
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