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The end correction of a resonance column is 1cm. If the shortest length resonating with the tuning fork is 10cm, the next resonating length should be :
- a)32cm
- b)40cm
- c)28cm
- d)36cm
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The end correction of a resonance column is 1cm. If the shortest lengt...
Given : e = 1 cm
For first resonance
For second resonance
⇒ ℓ2 = 3 × 11 - 1 = 32 cm
For first resonance
For second resonance
⇒ ℓ2 = 3 × 11 - 1 = 32 cm
Most Upvoted Answer
The end correction of a resonance column is 1cm. If the shortest lengt...
Calculation of the next resonating length:
To find the next resonating length, we need to consider the end correction of the resonance column, which is given as 1cm.
Given values:
End correction = 1cm
Shortest resonating length = 10cm
Formula for resonating length:
Resonating length = Shortest resonating length + n * wavelength/4 + End correction
Calculation:
For the first resonating length:
10cm = 10cm + n * wavelength/4 + 1cm
n * wavelength/4 = -1cm
n = -4
For the next resonating length (n+1):
Resonating length = 10cm + (-4 + 1) * wavelength/4 + 1cm
Resonating length = 10cm + (-3) * wavelength/4 + 1cm
Resonating length = 10cm - 3/4 * wavelength + 1cm
Resonating length = 11cm - 3/4 * wavelength
Calculation of the next resonating length:
To find the next resonating length, we substitute n = -3 in the formula:
Resonating length = 11cm - 3/4 * wavelength
Resonating length = 11cm - 3/4 * 4cm (Since the wavelength is usually 4 times the resonating length)
Resonating length = 11cm - 3cm
Resonating length = 8cm
Therefore, the next resonating length should be 8cm.
Hence, the correct answer is option 'A' (32cm).
To find the next resonating length, we need to consider the end correction of the resonance column, which is given as 1cm.
Given values:
End correction = 1cm
Shortest resonating length = 10cm
Formula for resonating length:
Resonating length = Shortest resonating length + n * wavelength/4 + End correction
Calculation:
For the first resonating length:
10cm = 10cm + n * wavelength/4 + 1cm
n * wavelength/4 = -1cm
n = -4
For the next resonating length (n+1):
Resonating length = 10cm + (-4 + 1) * wavelength/4 + 1cm
Resonating length = 10cm + (-3) * wavelength/4 + 1cm
Resonating length = 10cm - 3/4 * wavelength + 1cm
Resonating length = 11cm - 3/4 * wavelength
Calculation of the next resonating length:
To find the next resonating length, we substitute n = -3 in the formula:
Resonating length = 11cm - 3/4 * wavelength
Resonating length = 11cm - 3/4 * 4cm (Since the wavelength is usually 4 times the resonating length)
Resonating length = 11cm - 3cm
Resonating length = 8cm
Therefore, the next resonating length should be 8cm.
Hence, the correct answer is option 'A' (32cm).
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The end correction of a resonance column is 1cm. If the shortest length resonating with the tuning fork is 10cm, the next resonating length should be :a)32cmb)40cmc)28cmd)36cmCorrect answer is option 'A'. Can you explain this answer?
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The end correction of a resonance column is 1cm. If the shortest length resonating with the tuning fork is 10cm, the next resonating length should be :a)32cmb)40cmc)28cmd)36cmCorrect answer is option 'A'. 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 The end correction of a resonance column is 1cm. If the shortest length resonating with the tuning fork is 10cm, the next resonating length should be :a)32cmb)40cmc)28cmd)36cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The end correction of a resonance column is 1cm. If the shortest length resonating with the tuning fork is 10cm, the next resonating length should be :a)32cmb)40cmc)28cmd)36cmCorrect answer is option 'A'. Can you explain this answer?.
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