1. A progressive wave travelling along the positive x-direction is represented by y(x, t) = A sin (kx-ot + p). Its snapshot at t = 0 is given in the figure. A For this wave, the phase o is T (a) (b) T 2 (c) 0 (d) 2
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A: y(x,t) = (6.5 mm) sin [kx + 650 rad/s t + ϕ] y1 = 2.9 mm ; y2 = -2.9 mm for y1 = +2.9 mm 2.9 = 6.5…
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A: thank you.
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A: As y1=Asin(kx-wt+alpha) y2=Bsin(kx-wt+beta) We can use principle of superposition of two waves.
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- 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.a° y(z,t) 1 d*y(x,t) Which of the following wave functions satisfies the wave equation? A.) y(x, t) = A cos(kæ + wt) B.) y(x, t) = A sin(kx +wt) C.) y(x, t) = A[cos(kæ) + cos(wt)] For any of the equations above that satisfy the wave equation what are the transverse velocity and acceleration of a particle at point x?
- What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (6ñ m¯¹)x + (4ñ rad/s)t - n/8) 1. Is this wave transverse or longitudinal? 2. Which direction is the wave moving?Two progressive waves ?1(?,?)=?sin(2???−??)y1(x,t)=Asin(2πλx−ωt) and ?2(?,?)=?sin(2???−??−?2)y2(x,t)=Asin(2πλx−ωt−π2) travel in the same direction. Calculate the speed of the wave produced as a result of interference of these two waves. Take ?=5A=5 cm, ?=4λ=4 m and ?=31.4ω=31.4 Hz. Provide your answer in SI units.b?
- Chapter 35, Problem 029 Two waves of the same frequency have amplitudes 0.843 and 2.41. They interfere at a point where their phase difference is 79.0°. What is the resultant amplitude? Number Units Use correct number of significant digits; the tolerance is +/-2%18. A sound wave s(r, t) = sm Cos(ka – wt +o) travels at 343 m/s through air in a long horizontal tube. At one instant, air molecule A at r = 2.00 m is at its maximum positive displacement of 6.0 nm and air molecule B at r = a positive displacement of 1.5 nm. All the molecules between A and B arc at intermediate displacements. What is the 2.05 m is at frequency of the wave? (1) 1400 Hz (2) 1300 Hz (3) 1200 Hz (4) 1100 Hz (5) 1000 Hz