y(mm) 3 2 1 0 s(x, t = 0.005s) s(x, t = 0s) x(m) -1 -2 -3 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 42. Consider the graph in the preceding problem of a compression wave. Shown are snapshots of the wave function for t = 0.000 s (blue) and t = 0.005 s (orange). Given that the displacement of the molecule at time t 0.00 s and position x = 0.00 m is s (0.00 m, 0.00 s) = 1.08 mm, derive a wave function to model the compression = wave.

A wave has a wavelength of 30 cm. What is the phase difference between two points on this wave that are 45 cm apart? π/4 rad π/3 rad π/2 rad 2π/3 rad π rad

Consider a monochromatic green lightwave with wavelength λ = 550 nm (1 nm = 1 * 10-9m). Assuming the speed of light in vacuum (which is close to the one in air) to be c = 3 * 108m/s, then: A. Calculate the period τ and the optical frequency v for green light? B. Write a sinusoidal harmonic wave with unit amplitude propagating towards the negative x-axis. Consider that for x = 0 and t = 0, the (initial) phase is (π/2). C. Plot the wave profile against x for following times: t = 0, 0.25τ, 0.5τ, and 0.75τ. Assume an arbitrary unit for the y-axis.

D, mm 1 0 00000000 The figure shows two waves traveling in the positive-x direction. The amplitude of the resultant wave is O 1.0 mm. O zero. O 1.8 mm. O 1.4 mm. O 2.0 mm.

Two progressive waves y1=Asin(2πλx−ωt)y1=Asin⁡(2πλx−ωt) and y2=Asin(2πλx−ωt−π2)y2=Asin⁡(2πλx−ωt−π2) travel in the same direction. Calculate the velocity of the wave produced as a result of interference of these two waves. Take A=5A=5 cm, λ=λ=6.9 m and ω=ω=12.3 rad/s (radian per second). Give your answer in SI units.