Take as much time needed to answer every single question. Just be sure to answer each question correctly and will write a wonderful review about you afterwards! Do not rush and use the correct number of significant digs/figures for each question. Thank you. Question 1

1 The distance between two successive crests on a water wave is 73.0 mm. It is also noted that 55.0 crests pass a given point along the direction of travel every 17.5 seconds. Calculate the wave's speed in m/s.2 A beam of light of wavelength 507 nm [in empty space] enters a piece of transparent material with an index of refraction 1.55. What is the wavelength, in nanometers, of the light inside the material? A stretched wire has a fundamental frequency vgw. If the wire is cut to 75.0 \"if: of its length and the tension is increased by 75.0 %, what is the ratio of the new fundamentaL frequency to that of the OH? 3 Answer to 3 sig gs A 2.00 kg block hangs from a rubber cord. The block is supported so that the cord is not stretched. The unstretched length of the cord is 0.465 m. and its mass is 5.11 g. The "spring constant" for the cord is 113 Him. The block is released; we'll consider what happens at the moment the block is at its lowest point. 4a Determine the tension in the cord when the block is at the Lowest point (in newtons}. 4b What is the length at the cord in this \"stretched" position [in meters]? 4c Calculate the speed of a transverse wave (in m/s) in the cord if the block is held in this lowest position.The length of the B string on a certain guitar is 61.6 cm. It vibrates at a fundamental frequency of 247 Hz. 5a What is the speed of the transverse waves on the string in m/s?5b If the linear mass density of the guitar string is 1.60 g/m what should the tension be (in newtons) when the string is in tune?The diagram beLow represents a snapshot of a standing transverse wave on a flexibLe string taken when the dispLa-cement is at a maximum. The string is [1.890 m long with tension 7.00 N. The totaL mass of the string is 11.2 g. u 6 What is the period of the oscillation in seconds [enter the number only}? t stretched string of length 180. cm vibrates in its nth mode. The separation distance from node to antinode is 9.00 cm. 7" What is the vaLue of n? A Light string with a mass of 12.6 g and a Length L = 2.65 m has its ends tied to two walls that are separated by the distance D = 2.05 m. Two objects, each with a mass M = 1.71 kg, are suspended from the string, as shown in the gure below. D 8 If a wave pulse is sent from point Ar how long [in milliseconds} does it take for it to travel to point B? A corner reflector is to be made from a triangular prism with index of refraction n. = 2.46, as shown in the diagram below, where the path of a laser beam reflecting off the corner cube is shown. Corner cubes are highly useful in optics because the outgoing angle $5 is always equaLto the incoming angle (9 [you should be able to show this!}. However, to get a lot of reflected power. the incoming angle can't be too large. 9 What is the maximum angle I? with respect to the normal to the front surface of the prism such that total internal reflection occurs off the back surfaces of the corner reflector? Give your answer in degrees. To answer this question. as an approximation. take the earth's atmosphere as being of uniform density out to a thickness of 8.70 km. beyond which there is no atmosphere. This means that, with the Earth's radius being 6371 km, your Line of sight due West aLong the ocean surface to the horizon will intersect this "upper surface\" of the atmosphere at about 333.1 km from your eye. {If you enjoy trigonometry you can check this gure for yourself.). Note that the diameter of the sun subtends 0.5000 degrees at your eye