Can you answer question b and all of question c a) Calculate the frequency (in Hz) of the 2nd overtone emitted by an open pipe of length 1.5m. 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 – ) travelin the same direction. Calculate the amplitude and speed of the wave produced as a resultof 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 standingwave. 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.

Since you have asked multiple questions, we will solve the first question for you. If you want any…

b) Two progressive waves y1(x, t) = Asin (x – 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. %3D

b) Two progressive waves y1(x, t) = Asin (x – 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. %3D

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter18: Superposition And Standing Waves

Section: Chapter Questions

Problem 50PQ

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Question

Can you answer question b and all of question c

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.

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