1 Particle-wave duality On May 21, 2019, the National Science Foundation's Laser Interferometer Gravitational-wave Obser

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1 Particle Wave Duality On May 21 2019 The National Science Foundation S Laser Interferometer Gravitational Wave Obser 1 (281.14 KiB) Viewed 246 times

1 Particle-wave duality On May 21, 2019, the National Science Foundation's Laser Interferometer Gravitational-wave Observatory (LIGO) in the United States; and Virgo, a 3-kilometer-long detector in Italy detected signals of gravitational wave resulted from the merger of two massive black holes. The signal is known as GW190521, and is shown below. If gravitational wave is the matter wave of graviton - a kind of particle that travels at the speed of light, answer the following questions: (2 pt) Estimate the frequency of the gravitational wave GW190521 from Fig.. Hint: measure the peak-to-peak duration of the black curves. (2 pt) From your estimated frequency, calculate the wavelength of the gravitational wave. (2 pt) Calculate the energy and momentum of the graviton detected with GW190521. (2 pt) The merger involves two black holes with 85 and 66 solar masses into a single black hole of 142 solar mass. Calculate the amount of energies released from the merger. One solar mass equals to 2 × 10³0 kg. • (2 pt) Suppose 50% of the merger-released energy was carried by gravitons, how many gravitons had been emitted by this event? Hanford Livingston Virgo Whitened Data Bayes Wave LALInference cWB max L 0.35 0.40 0.60 0.30 0.35 0.40 0.45 0.50 0.55 Time [s] 0.40 0.45 0.50 0.55 0.60 Time [s] Figure 1: Signals of GW190521. 08:00 -2. -3- -4 0.30 0.45 0.50 Time [s] 0.55 0.60 0.30 0.35