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1.A particular string resonates in four loops at a frequency of 280 Hz . Name at least three other frequencies at which it will resonate.
2.A pipe in air at 20°C is to be designed to produce two successive harmonics at 240 Hz and 280 Hz. How long must the pipe be, and is it open or closed?
3.A piano wire with mass 3.00 g and length 80.0 cm is stretched with a tension of 25.0 N. A wave with frequency 120.0 Hz and amplitude 1.6 mm travels along the wire.
(a) Calculate the average power carried by the wave.
(b) What happens to the average power if the wave amplitude is halved?
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4.A piece of curved glass has a radius of curvature of r = 11.8 m and is used to form Newton’s rings, as in the figure below. Not counting the dark spot at the center of the pattern, there are one hundred dark fringes, the last one being at the outer edge of the curved piece of glass. The light being used has a wavelength of 676 nm in vacuum. What is the radius R of the outermost dark ring in the pattern? (Hint: Note that r is much greater than R, and you may assume that tan ? = ? for small angles, where ? must be expressed in radians.)
5.A piece of curved glass has a radius of curvature of r = 11.8 m and is used to form Newton’s rings, as in the figure below. Not counting the dark spot at the center of the pattern, there are one hundred dark fringes, the last one being at the outer edge of the curved piece of glass. The light being used has a wavelength of 676 nm in vacuum. What is the radius R of the outermost dark ring in the pattern? (Hint: Note that r is much greater than R, and you may assume that tan ? = ? for small angles, where ? must be expressed in radians.)
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