1. In 2022, NASA deployed the Webb Space Telescope, to replace the successful but old Hubble Space Telescope. Webb's gold plated mirror has a diameter of 6.5 meters, while Hubble's mirror is 2.4 meters in diameter. How many times more light can the Webb gather than the Hubble?

Student 1: The red light has a higher wavelength (A) than the blue light. Using the equation v = f* A, that shows that the red light has a larger velocity (v) as well. Student 2: But both kinds of light should be moving at the same speed, since they are both going through the same medium, space. I think the blue light needs to have a higher frequency than the red light, to make up for the red light's higher wavelength. Do you agree or disagree with either or both of the students? Explain your reasoning.

Two radio antennas separated by d = 284 m, as shown in the figure below, simultaneously broadcast identical signals at the same wavelength. A car travels due north along a straight line at position  x = 1,100 m  from the center point between the antennas, and its radio receives the signals. Hint: Do not use the small-angle approximation in this problem. Two antennas, one directly above the other, are separated by a distance d. A horizontal dashed line begins at the midpoint between the antennas and extends to the right. A point labeled O is a horizontal distance x from the line's left end. A car is shown to be a distance y directly above point O. An arrow extends from the car, indicating its direction of motion, and points toward the top of the page. (a) If the car is at the position of the second maximum after that at point O when it has traveled a distance of  y = 400 m  northward, what is the wavelength of the signals? m(b) How much farther must the car travel to encounter the next…

Student 1: The red light has a higher wavelength (λ) than the blue light. Using the equation v = f * λ, that shows that the red light has a larger velocity (v) as well.   Student 2: But both kinds of light should be moving at the same speed, since they are both going through the same medium, space. I think the blue light needs to have a higher frequency than the red light, to make up for the red light’s higher wavelength.     Do you agree or disagree with either or both of the students? Explain your reasoning.