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a) Calculate the frequency (in Hz) of the 2nd overtone emitted by an open pipe of length 1.5 m. The speed of sound in air is 343 m/s.

a) Calculate the frequency (in Hz) of the 2nd overtone emitted by an open pipe of length 1.5 m. The speed of sound in air is 343 m/s.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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a) Calculate the frequency (in Hz) of the 2nd overtone emitted by an open pipe of length 1.5 m. The speed of sound in air is 343 m/s. b) Two progressive waves y1 (x, t) = A sin (r – wt) and y2(x, t) = A sin (x – wt – ) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take A = 5 cm, ) = 4 m and w = 31.4 Hz. c) A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscil- lations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate: i) The speed of the progressive waves that result in the standing wave. ii) The amplitude of the progressive waves that result in the standing wave. ii) The value of maximum velocity of up and down motion of the string at midpoint. Provide your answers in SI units.
Transcribed Image Text:a) Calculate the frequency (in Hz) of the 2nd overtone emitted by an open pipe of length 1.5 m. The speed of sound in air is 343 m/s. b) Two progressive waves y1 (x, t) = A sin (r – wt) and y2(x, t) = A sin (x – wt – ) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take A = 5 cm, ) = 4 m and w = 31.4 Hz. c) A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscil- lations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate: i) The speed of the progressive waves that result in the standing wave. ii) The amplitude of the progressive waves that result in the standing wave. ii) The value of maximum velocity of up and down motion of the string at midpoint. Provide your answers in SI units.
a) The distance, r, between the proton and electron in the hydrogen atom is about 10¬10 m. i) Calculate the electrostatic force between the electron and proton. ii) Determine the value of the potential energy U of the electron in the hydrogen atom. Express your result in electron-volts (eV). Recall 1 eV = 1.6 × 10-19 J. ii) Determine the value of the kinetic energy of the electron. Express your result in eV. b) A small rectangular coil of 6 mm by 6 mm is placed in the middle of a solenoid of 40 mm length having 100 turns and carrying a current of 3 A. The sides of the coil are perpen- dicular to the magnetic field lines of the solenoid. Calculate the force on each side of the rectangular coil due to the magnetic field of the solenoid given that a current of 2.0 A is passed through the small coil. Take vacuum permeability µo = 4x × 10-7 H/m. c) A circular metallic disc is placed with its plane perpendicular to a uniform magnetic field of flux density B. The disc has a radius of 0.2 m and is rotated at 5 revolutions per second about an axis through its center perpendicular to its plane. The e.m.f between the center and the rim of the disc is balanced by the potential difference across a 10 N resistor when carrying a current of 1 mA. Calculate the magnitude of the magnetic field strength.
Transcribed Image Text:a) The distance, r, between the proton and electron in the hydrogen atom is about 10¬10 m. i) Calculate the electrostatic force between the electron and proton. ii) Determine the value of the potential energy U of the electron in the hydrogen atom. Express your result in electron-volts (eV). Recall 1 eV = 1.6 × 10-19 J. ii) Determine the value of the kinetic energy of the electron. Express your result in eV. b) A small rectangular coil of 6 mm by 6 mm is placed in the middle of a solenoid of 40 mm length having 100 turns and carrying a current of 3 A. The sides of the coil are perpen- dicular to the magnetic field lines of the solenoid. Calculate the force on each side of the rectangular coil due to the magnetic field of the solenoid given that a current of 2.0 A is passed through the small coil. Take vacuum permeability µo = 4x × 10-7 H/m. c) A circular metallic disc is placed with its plane perpendicular to a uniform magnetic field of flux density B. The disc has a radius of 0.2 m and is rotated at 5 revolutions per second about an axis through its center perpendicular to its plane. The e.m.f between the center and the rim of the disc is balanced by the potential difference across a 10 N resistor when carrying a current of 1 mA. Calculate the magnitude of the magnetic field strength.
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