5. The ratio between the propagation rates in a vacuum and in atmosphere is the index of refraction which can be expressed as follows: C/ where is the speed of light in a vacuum and n is the index of refraction. The value of nis often assumed to be around 1.0003 in air, a BIG mistake. Assume a near-infrared laser beam has a wavelength of 1064 nm in a vacuum and, therefore, frequency of 2.8176x108 MHZ. (vacuum) = 299,792,458 m/s. Using the Elden and Ciddor relationships below, We scan a target that is 1000 meters away. For a range of temperatures O'C, 5, 10, 15, 20", 25, 30, 35, 40: (EXCEL is fine) a. Calculate the actual 1.00032000 electromagnetic velocity and wavelength 1001000 b. What is the error in our distance measurement due the 10003000 refraction of light if we mistakenly assumed n=1.0003, 100029000 as a result of temperature differences and the standard 1000000 atmospheric pressure? 100022000 10002600 100025000 20 1030 20 Temperature, 5. The ratio between the propagation rates in a vacuum and in atmosphere is the index of refraction which can be expressed as follows: C/ where is the speed of light in a vacuum and n is the index of refraction. The value of nis often assumed to be around 1.0003 in air, a BIG mistake. Assume a near-infrared laser beam has a wavelength of 1064 nm in a vacuum and, therefore, frequency of 2.8176x108 MHZ. (vacuum) = 299,792,458 m/s. Using the Elden and Ciddor relationships below, We scan a target that is 1000 meters away. For a range of temperatures O'C, 5, 10, 15, 20", 25, 30, 35, 40: (EXCEL is fine) a. Calculate the actual 1.00032000 electromagnetic velocity and wavelength 1001000 b. What is the error in our distance measurement due the 10003000 refraction of light if we mistakenly assumed n=1.0003, 100029000 as a result of temperature differences and the standard 1000000 atmospheric pressure? 100022000 10002600 100025000 20 1030 20 Temperature