2. Consider two linear travelling transverse waves, each represented by a sine function. They both have an amplitude of

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2. Consider two linear travelling transverse waves, each represented by a sine function. They both have an amplitude of 1.00 cm. One wave(w#1) has a wavelength of 2.00cm and the other wave(w#2) has a wavelength of 4.00cm.
(a) In this first case, the two waves described above start 'in phase' with each other at the origin (0,0) of an xy-graph. Draw the graphs of both superimposed on the same xy-graph. Use a different colour for each if that helps. Then add them together in the y-direction, every half-
centimeter from 0.00 to 4.00 cm. How much constructive interference occurs (what intervals of the overall 0.00-to-4.00 cm of the x-axis that the graphs are drawn together for)? How much destructive interference occurs (what intervals of x this time)?
(b) In part (a), are there any points or regions where neither type of interference is occuring? Explain.
(c) What is the maximum constructive interference achieved? (What y-value(s) are achieved for this case and where are they located (on the x-axis)?)
(d) What is the maximum destructive interference achieved? (What y-value(s) are achieved for this case and where are they located (on the x-axis)?)
(e) Repeat the above for where the longer wavelength wave (w#2) is 'phase shifted' by 2.00 cm to the right, but the shorter wavelength wave (w#1) stays the same as you drew it the first time around (see part (a) above). Keep the x-axis 'window' where we are viewing these two interfering waves, still between x=0.00 and x=4.00 cm (inclusive of these endpoints), same as the first time around (again, see part (a) above).
(f) If the above analysis was to be used to compare two different wavelengths of visible light (i.e. light that is "visible" to normal human vision/eyesight, [so, NOT bees, snakes, or other different-seeable- spectrum-ranged eyesight-capable species]) in a 'to-scale' manner, then what would the two types(wavelength, frequency, colour) of light have to be (if it's even possible -- if it's 'not possible' to do this, then carefully explain how you have determined that it is not possible).
 RECALL THAT: wave speed = v = λf , where we can assume that 'v' is equal to c = 3.00x108 m/s (a very good approximation in air), 'λ' is the wave- length in meters (m), or sometimes in nanometers (nm) or in ngstroms
( ) -- [ 1 nm = 10-9 m, 1 = 10-10 m, 1 nm = 10 ], and 'f' is the frequency in Hertz(Hz), or cycles/second, or sec-1 -- [ 1 cycle/sec = 1Hz = 1 s-1 ] ).
 Note also that sometimes it is helpful to switch between the time period for one complete cycle (T) -- [ seconds/cycle, or just 'seconds' (s) ] and frequency f = 1/T (note that: T = 1/f as well).
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