Air column in a pipe closed at one end is in resonance with a tuning fork producing wavelength of 264 cm. The length of the air column is:
Correct answer: B. 66.0 cm
- A. 31.3 cm
- B. 66.0 cm
- C. 93.8 cm
- D. 132 cm
Explanation
In a pipe closed at one end, the fundamental frequency is achieved when the length of the air column equals one-fourth of the wavelength of the sound. Given the wavelength of 264 cm, the resonant length is calculated as 264 cm / 4 = 66 cm, making Option B correct.Option A (31.3 cm) is incorrect as it does not correspond to any significant resonance mode. Option C (93.8 cm) pertains to a higher harmonic (third harmonic) rather than the fundamental frequency. Option D (132 cm) represents half the wavelength, which is not applicable for the fundamental frequency in a pipe closed at one end.
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Light is studied through reflection, refraction, dispersion, interference, diffraction and polarization, linking ray behavior with its wave nature. Questions may involve mirrors, lenses, optical instruments, refractive index and image formation, while geometrical optics deals with rays and wave optics explains effects such as interference and diffraction.
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