Consider the motion of a wire under tension, fixed at both ends. The wire is oscillated to produce standing waves and snapshots of the motion are taken. In the images below, the black bar represents the wire before it is osciallted and the blue line the wire at fixed moments during the oscillation.

Match the following images to the given descriptions, note that there may be repeats, but a standing wave must have nodes at both ends.

You may find it useful to look at this Interactive web animation of standing waves (note: it does require you to install the Wolfram CDF Player, a free download).

For the remainder of your assessment please complete this google form, which will ask that you enter you various time measurements and the results of your analysis, and to also provide some discussions and conclusions. This form will allow us to check your results and analysis in the context of your particular measurements, and will then provide the second part of your mark for this activity. (This quiz provides 5 marks and the google doc contains the entries for another 5 marks). 

Note: this question requires no answer here, just fill out the google form :) 

Recall that a Hookean spring is one for which , based on this (or some googling) you can find the proportionality between the period of oscillation for a Hookean spring and the mass attached to it that does follow

Which of the following is the correct value for p in the case of a Hookean spring

Considering our linearisation, determine (via the method in python and uncertainties) a symbolic expression for the uncertainty in our desired Y variable, using "T" as the symbol for average times and "n" as the symbol for number of masses.  and placing a u in front of each of these for the uncertainty in these variables (e.g. uT, and un). YOU MUST USE THESE SYMBOLS WITH THE SAME CAPITALISATION.

Then, print the symbolic expression and copy and paste the output of this print call directly into the input cell below without any changes. 

E.g. if the variable into which you have stored the symbolic expression is called expr_u_y, then add the line

print(expr_u_y)

to your code and copy from the terminal or console the output that this line generates and paste this into the text cell below without any editing. 

IMPORTANT NOTE: This uncertainty expression is fairly easy to determine, however, make sure to use the method in Python and uncertainties and to print the result of that, part of the assessment for labs is specifically learning python, so it is important to practice the coding, and this question can only be answered correctly if you use the python method of Python and Uncertainties. 

Considering our linearisation, define a symbolic expression for the desired Y variable, using "T" as the symbol for average times and "n" as the symbol for number of masses. YOU MUST USE THESE SYMBOLS WITH THE SAME CAPITALISATION.

Then, print the symbolic expression and copy and paste the output of this print call directly into the input cell below without any changes. 

E.g. if the variable into which you have stored the symbolic expression is called expr_y, then add the line

print(expr_y)

to your code and copy from the terminal or console the output that this line generates and paste this into the text cell below without any editing. 

Which is the correct mode structure for standing waves in a pipe which is open at both ends, as per the diagram below?

The amplitude, A(r), of a 2D wave such that

The phase difference between two different positions x₂ and x₁ in a wave is given by

When travelling through a dense medium, light waves (select all that apply)

Waves carry information - true or false?