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:

1. Starting masses minus the final mass are emitted as gravitational waves. What is the energy released in J and MeV?
2. How does this compare to an atomic bomb? Cite a specific detonation, and the source for the amount of energy in that detonation.
3. 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.)
4. What is the graviton's energy and momentum?Assume the graviton is so light it can be considered massless in this calculation.
5. With this momentum what is theminimum uncertainty in its location?
6. IF we assume the entirety of the gravitational wave energy is carried away by gravitons how many gravitons would this require?