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In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is 0.1 m. When this length is changed to 0.35 m, the same tuning fork resonates with the first overtone.
Calculate the end correction.
  • a)
    0.012 m
  • b)
    0.025 m
  • c)
    0.05 m
  • d)
    0.024 m
Correct answer is option 'B'. Can you explain this answer?
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In the experiment for the determination of the speed of sound in air u...
Given:
- Length of the air column in the fundamental mode = 0.1 m
- Length of the air column in the first overtone mode = 0.35 m

To find:
The end correction

Solution:
The speed of sound in air can be calculated using the formula:
v = 2Lf

Where:
v = speed of sound in air
L = length of the air column
f = frequency of the tuning fork

Step 1: Find the frequency of the tuning fork in the fundamental mode
Let's assume the frequency of the tuning fork in the fundamental mode is f1.

Step 2: Find the frequency of the tuning fork in the first overtone mode
Let's assume the frequency of the tuning fork in the first overtone mode is f2.

Step 3: Calculate the speed of sound in air in the fundamental mode
Using the given length of the air column in the fundamental mode (L = 0.1 m) and the frequency of the tuning fork in the fundamental mode (f1), we can calculate the speed of sound in air (v1) using the formula mentioned above.

Step 4: Calculate the speed of sound in air in the first overtone mode
Using the given length of the air column in the first overtone mode (L = 0.35 m) and the frequency of the tuning fork in the first overtone mode (f2), we can calculate the speed of sound in air (v2) using the same formula.

Step 5: Calculate the end correction
The end correction (e) can be calculated by subtracting the actual length of the air column in the fundamental mode from the effective length of the air column in the first overtone mode.

e = L2 - L1 - (0.4 * λ)

Where:
L1 = length of the air column in the fundamental mode
L2 = length of the air column in the first overtone mode
λ = wavelength of the tuning fork sound in air

Step 6: Substitute the values and calculate
Substituting the given values and the calculated values of v1 and v2 into the equation, we can calculate the end correction (e).

In this case, the correct answer is option B, which is 0.025 m.
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In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is 0.1 m. When this length is changed to 0.35 m, the same tuning fork resonates with the first overtone.Calculate the end correction.a)0.012 mb)0.025 mc)0.05 md)0.024 mCorrect answer is option 'B'. Can you explain this answer?
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In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is 0.1 m. When this length is changed to 0.35 m, the same tuning fork resonates with the first overtone.Calculate the end correction.a)0.012 mb)0.025 mc)0.05 md)0.024 mCorrect answer is option 'B'. 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 the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is 0.1 m. When this length is changed to 0.35 m, the same tuning fork resonates with the first overtone.Calculate the end correction.a)0.012 mb)0.025 mc)0.05 md)0.024 mCorrect answer is option 'B'. 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 the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is 0.1 m. When this length is changed to 0.35 m, the same tuning fork resonates with the first overtone.Calculate the end correction.a)0.012 mb)0.025 mc)0.05 md)0.024 mCorrect answer is option 'B'. Can you explain this answer?.
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