(a) A sheet of a certain type of glass is transparent but tinted red. To measure its lightabsorbing properties, beams of monochromatic light from two different lasers are shined through the glass. One laser emits red light with a wavelength of 635 nm, while the other emits blue light with a wavelength of 455 nm. What is the frequency of the light emitted [in Hz) from each laser? (b) The glass absorbs 813% of the energy of the blue light; that is, the intensity of the blue light just after exiting the glass is 190% of the intensityjust before entering. (The sheet of glass is thin and the laser beam narrow, so the intensity change is not due to any widening of the beam') Find the ratio of the amplitude of the blue light's electromagnetic wave before entering the glass to the amplitude after exiting the glass E E max, r' Oxygenated hemoglobin absorbs weakly in the red (hence its red color] and strongly in the near infrared, whereas deoxygenated hemoglobin has the opposite absorption. This fact is used in a "pulse oximeter" to measure oxygen saturation in arterial blood. The device clips onto the end ofa person's finger and has two lightaemitting diodesa red (642 hm) and an infrared [905 nm)and a photocell that detects the amount of light transmitted through the nger at each wavelength. (a) Determine the frequency of each of these light sources. (b) If 69% of the energyr of the red source is absorbed in the blood, by what factor does the amplitude ofthe electromagnetic wave change? Hint: The intensity of the wave is equal 2 max = 2 max ' Zlu 0c 2.\" 0 C to the average power per unit area as given by I = E A spaceship is approaching a space station at a speed of 2.85 x 10" m/s. The space station has a beacon that emits green light with a frequency of 5.98 x 1014 Hz. (a) What is the frequency of the beacon observed on the spaceship? (Use c = 2.9979 x 10" m/s for the speed of light. Enter your answer to at least five significant figures.) Hz (b) What is the change in frequency? HzA Speeder tries to explain to the police that the yellow warning lights she was approaching on the side of the road looked green to her because of the Doppler shift. How fast would she have been traveling if yellow light of wavelength 575.8 nm had been shifted to green with a wavelength of 563.1 nm? Note: For speeds less than 0.03c, the equation below will lead to a value for the observed frequency accurate to approximately two significant digits. u _ f0=fs(li?) Ifucc