An acoustic waveguide consists of a long cylindrical tube with radius rr designed to channel sound waves, as shown in (Figure 1). A tone with frequency ff is emitted from a small source at the center of one end of this tube. Depending on the radius of the tube and the frequency of the tone, pressure nodes can develop along the tube axis where rays reflected from the periphery constructively interfere with direct rays.If you can please provide an answer and explination for a, d, e ### Part BThe tube has a radius of 25.0 cm, and the temperature is 20°C. If the tone has a frequency of 2.50 kHz, how many nodes exist?**Enter your answer as an integer.**- \( N = 3 \)Feedback: Correct---### Part CAt what distance \( d \) are these nodes located?**Enter your answers in ascending order, separated by commas.**- \( d_{\text{air}} = 9.64 \times 10^{-2}, 0.317, 0.840 \, \text{m} \)Note: All attempts used; correct answer displayed.---### Part DIf the tube were filled with helium rather than air, how many nodes would exist?**Express your answer as an integer.**- \( N = \) [Input Box]---### Part EAt what values of \( d \) are these nodes located?**Enter your answers in ascending order, separated by commas.**- \( d_{\text{helium}} = \) [Input Box] \( \text{m} \)--- ### Understanding Acoustic WaveguidesAn acoustic waveguide consists of a long cylindrical tube with a radius \( r \) designed to channel sound waves, as illustrated in **Figure 1**. A tone with frequency \( f \) is emitted from a small source located at the center of one end of the tube. Depending on the tube's radius and the tone's frequency, pressure nodes can develop along the tube axis where rays reflected from the periphery constructively interfere with direct rays.#### Diagram ExplanationThe diagram shows a cylindrical tube with a small sound source at one end. The sound waves are depicted as blue wavefronts emanating from the source. A reflection path inside the tube indicates how the waves reflect off the tube's walls. The path is marked with an angle and distances \( r \) (radius) and \( d \) (distance along the tube), demonstrating the constructive interference scenario.#### Exercise**Part A:**For sound waves with wavelength \( \lambda \), determine the minimum tube radius required for at least one pressure node to exist. Your answer should be expressed in terms of \( \lambda \).- Answer box to input \( r = \).**Interactive Elements:**- Submit your answer or request help for additional guidance.---This topic explores the fascinating interplay of sound wave properties and geometric configurations in acoustic waveguides, leading to applications in acoustics and engineering fields.

Waves can be defined as an oscillation of some physical quantity with respect to time. There are two…

Part B The tube has radius 25.0 cm and the temperature is 20°C. If the tone has frequency 2.50 kHz, how many nodes exist? Enter your answers as integer. N = 3 Submit Previous Answers Correct Part C At what distance d are these nodes located? Enter your answers in ascending order separated by con dair = 9.64x10-2,0.317,0.840 m Submit Previous Answers All attempts used; correct answer displayed Part D If the tube were filled with helium rather than air, how many nodes would exist? Express your answer as integer. ? N = Submit Request Answer Part E At what value of d are these nodes located? Enter your answers in ascending order separated by commas. dhelium = m Submit Request Answer

Part B The tube has radius 25.0 cm and the temperature is 20°C. If the tone has frequency 2.50 kHz, how many nodes exist? Enter your answers as integer. N = 3 Submit Previous Answers Correct Part C At what distance d are these nodes located? Enter your answers in ascending order separated by con dair = 9.64x10-2,0.317,0.840 m Submit Previous Answers All attempts used; correct answer displayed Part D If the tube were filled with helium rather than air, how many nodes would exist? Express your answer as integer. ? N = Submit Request Answer Part E At what value of d are these nodes located? Enter your answers in ascending order separated by commas. dhelium = m Submit Request Answer