In the experiment to determine the speed of sound using a resonance column,
(A) prongs of the tuning fork are kept in a vertical plane
(B) prongs of the tuning fork are kept in a horizontal plane
(C) in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air
(D) in one of the two resonances observed, the length of the resonating air column is close to half of the wavelength of sound in air
(A) prongs of the tuning fork are kept in a vertical plane
(B) prongs of the tuning fork are kept in a horizontal plane
(C) in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air
(D) in one of the two resonances observed, the length of the resonating air column is close to half of the wavelength of sound in air
- (A)(A) prongs of the tuning fork are kept in a vertical plane✓ Correct
- (B)(B) prongs of the tuning fork are kept in a horizontal plane
- (C)(C) in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air
- (D)(D) in one of the two resonances observed, the length of the resonating air column is close to half of the wavelength of sound in air
Answer: (A)
Solution
In a resonance column experiment, the tuning fork prongs must be kept in a vertical plane so that the vibrations are perpendicular to the tube opening, ensuring maximum coupling of sound energy into the air column. If kept horizontal, the vibrations would be parallel to the tube axis and would not efficiently excite the air column.
Regarding the resonance lengths: at the first resonance, the air column length is approximately λ/4 (plus end correction), and at the second resonance, it is approximately 3λ/4. Neither is close to λ or λ/2 as stated in options (C) and (D).
Therefore, only option (A) is correct.
Regarding the resonance lengths: at the first resonance, the air column length is approximately λ/4 (plus end correction), and at the second resonance, it is approximately 3λ/4. Neither is close to λ or λ/2 as stated in options (C) and (D).
Therefore, only option (A) is correct.
JEE Advanced · 2007 · 08 Apr 2007 · Paper 2 · Single correct option