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Q11 (60) : 1.3 billion years ago (in a galaxy far far away), a merger between two black holes, one which weighed 29 solar-masses (1
Q11 (60): 1.3 billion years ago (in a galaxy far far away), a merger between two black holes, one which weighed 29 solar-masses (1 solar mass is 2*10^30 kg) and one that weighed 36 solar-masses. This resulted in a 62 solar mass black hole, and energy emitted in the form of gravitational waves. In 2015, at both LIGO sites, one of the arms of the laser interferometer changed by 10-19 meters in relation to the other, producing the waveform below:
- Starting masses minus the final mass are emitted as gravitational waves. What is the energy released in J and MeV?
- How does this compare to an atomic bomb? Cite a specific detonation, and the source for the amount of energy in that detonation.
- Gravitons are to gravity as light is to the electromagnetic force. Using the "predicted" curve on the figure to *approximate* the time between peaks in the sinusoidal curve, what is the frequency and wavelength of the gravitons emitted? (Hint: Look at the time scale on the bottom.)
- What is the graviton's energy and momentum?Assume the graviton is so light it can be considered massless in this calculation.
- With this momentum what is theminimum uncertainty in its location?
- IF we assume the entirety of the gravitational wave energy is carried away by gravitons how many gravitons would this require?
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