Draw diagrams illustrating the fundamental and first two overtones of a tube that is open atone end and closed at the other end. Label the positions of all nodes and antinodes on thediagrams. Indicate the harmonic to which each of the diagrams corresponds

Sketch the pattern of nodes and antinodes that you would observe when standing wavesare generated in a cylindrical pipe (closed at one end) at the fundamental frequency andthe first two overtones. For a cylindrical pipe of length L, derive the equation thatdescribes these natural frequencies.

By considering your diagrams from part (b) or otherwise, show that the frequency of the nth harmonic of a tube of length L that is open at one end and closed at the other end is given by 𝑓𝑛 = 𝑛 ( 𝑣 4𝐿 ) where v is the speed of sound in air

A 50.0-gram, 7.20-meter string is subject to a tension force of 45.0 N, with both ends fixed. Adopt a coordinate system in which the string lies along the x-axis, with one end at x = 0 and the other at x = 7.20 m.(a)Determine the positions (x-values) of the nodes and antinodes when the string is exhibiting the third harmonic. (Enter your answers, in m, from smallest to largest.)1st node x = m1st antinode x = m2nd node x = m2nd antinode x = m3rd node x = m3rd antinode x = m4th node x = m(b)At what frequency (in Hz) does this third harmonic vibrate? Hz

show that the frequency of the nthharmonic of a tube of length L that is open at one end and closed at the other end is givenby𝑓𝑛 = 𝑛 ( 𝑣4𝐿 )

he tube is cut to give two tubes: Tube A, which is open at one end and closed at theother end, and Tube B, which is open at both ends. Where does the tube have to be cut sothat Tube A and Tube B have identical fundamental frequencies?