How fast must you be approaching a red traffic light (λ = 675 nm) for it to appear yellow (λ = 575 nm)? Express your answer in terms of the speed of light. (b) If you used this as a reason not to get a ticket for running a red light, how much of a fine would you get for speeding? Assume that the fine is $1.00 for each kilometer per hour that your speed exceeds the posted limit of 90 km/h
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How fast must you be approaching a red traffic light (λ = 675 nm) for it to appear yellow (λ = 575 nm)? Express your answer in terms of the
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- (a) In communicating with an astronaut on the moon, 3.8E8 m from earth, what is the minimum time delay in getting a response to a question? (b) What would the minimum time delay be for communication with an astronaut at a distance of 4 light-years from earth?How long should it take the voices of astronauts on the Moon to reach the Earth? Assume that the only significant time is the transit time from the Earth to the Moon, at the speed of light. Suppose that the astronaut on the surface of the Moon, the receiver on the surface of the Earth, and the centers of the Earth and the Moon are aligned. The distance between the centers of the Earth and the Moon is 384×103km, the radius of the Earth is 6.38×103km, the radius of the Moon is 1.74×103km.The principle of relativity was recognised as both a mechanical and optical effect. Einstein believed that the principle should hold for both situations. One of his thought experimentds involves him sitting on a train travelling at the speed of light and looking at a mirror. He asked the question as to whether he would be able to see his own reflection. a) Outline one possible answer to Einstein's question and the problems involved in your answer in terms of the principle of relativity. b) What was Einstein's conclusion to this thought experiment?c) The theory of relativity discusses the physical consequences of a universal frame of reference. The special theory of relativity, published in 1905 by Albert Einstein, is concerned with problems involving inertial frame of reference. Its fundamental principles, however, caused discrepancies in measurements. Describe TWO apparent discrepancies caused by these fundamental principles.
- Can you please help me with this question? Thank you!A 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 576.6 nm had been shifted to green with a wavelength of 562.3 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. answer in m/sThe crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at 0.277 of the speed of light. But all is not lost! You launch a space torpedo toward the foe at 0.347 of the speed of light with respect to you. At what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? speed: km/s
- A certain X-ray machine generates X-rays from a beam of electrons accelerated from zero to 99.9999999 per cent the speed of light in a long linear accelerator of length 3.2 km. The electrons are generated in pulses of duration ∆t = 100 fs. The generated x-rays from the target are also short pulses (λ = 0.15 nm). What is the average power of the x-ray beam if it pulses 120 times per second and one x-ray pulse contains about a trillion photons (n = 1012). a) 16.0 W b) 1.6 W c) 0.16 W d) none of these.According to the formula for y, what would happen if the motion between the two frames was greater than the speed of light? Oy would be negative. Oy would be imaginary. O y would be one. O Nothing. O y would be infinity. Oy would be zero.A driver is sentenced in court for crossing an intersection in red light. For his defense, the driver claims that due to the relativistic Doppler effect he saw the traffic light as green color. Color of light depends on the light wavelength (wavelength of a wave is equal to the speed of the wave times the period). The wavelength of red light is 700 nm and the wavelength of green light is 500 nm. How fast the driver should have travelled to see red color as green color? Give answer in units of speed of light. 0.32 X
- Distances in space are often quoted in units of light years, the distance light travels in one year (365.25 days). How many meters is a light year? Provide the solution: x 1015 mSolve, with no calculus.. A) How fast would a motorist have to travel for a yellow traffic light (λ = 590. nm) to appear green (λ =500. nm) to him due to the Doppler shift? B) Would the motorist be traveling towards or away from the traffic light?