Consider a wave described by the equation: 7(x, t) = a Cos [2«G– vt)]. (a is the amplitude of the wave, a is its wavelength and v is its frequency.) a/ Att =0.0, the profile of the wave in space is shown according to the below figure. Use the figure to calculate the wavelength and amplitude b/ Att = 2.0, the wave moves to the right according to the following figure. Calculate the frequency and speed of the wave. t=0.0 t-2.0 c/ A standing wave can be made by summing up two traveling waves traveling in opposite directions 7atanding wave (x, t) = a Cos[2# (÷- vt)] + a Cos [27 G + ve)] Draw the profiles of the wave 7: (x, t) = a Cos [2mG– vt)] in space together with the wave n2 (x, t) = a Cos [2mG+ vt)] at t=0.0, t=0.5, t=1.0, t=1.5. Also, draw the interference of the two waves to show that it is not traveling.

A nylon rope of length 12m is under a tension of 1.7 × 104 N. The total mass of this rope is 2.4 kg. If a wave pulse starts at one end of this rope, find its speed. Calculate to one decimals?

True or False: The wavelength of a wave affects the wave's speed. True O False 13 14 15 16 17

Mjc5NTA2NTk3NjEz (b) 0.8 sec; 14 m/s (c) 0.4 sec; 7 m/s (d)0.8 sec; 3.5 m/s 4) Two identical sinusoidal waves travel in the same direction at the same speed with an amplitude A. The phase difference between the two waves is o = 69.8°. The amplitude of the resultant wave, Aresultant» is increased with respect to the amplitude of the individual waves, A, by: (a) 18% (b) 64% (c) 82% (d) 164% 5) Two identical sinusoidal waves with frequency of 20 Hz travel in the same đirection at the same speen The two waves originate from the same point but with a time difference At. The amplitude of th AV3. The minimum possible time difference between the starting moments resultant wave is Ares the two waves is, At =: (a) 1/120 sec (b)0477 sec (c) 1/80 sec (d)0.716 sec rleueths of 2.5 m travel in the same direction with the Ih difference. Wave-1 tra