27) Calculate the time it would take for 5 solar mass black to radiate its energy.
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- When stars with mass greater than 3 or 4 solar mass die the gravitational collapse is so large that nothing leaves the collapsed core. It becomes a black hole.
- Even though nothing is capable of leaving a black hole sometimes pair production takes place near the event horizon. When this happens one particle is absorbed while the other escapes with some energy from the black hole.
- The lifetime or the time is taken for a black hole to completely evaporate is given by,
Here M is the mass of the black hole and α is a constant with a value of 3.96 × 1015 kg3∙s-1.
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- Calculate the energy created from 1 kilogram of hydrogen fused. (with units kg & m/s, answer will be Joules)Give examples of nonbaryonic matter.2 of 7 Question A2 a) Calculate the mass loss rate of the Sun M due to the solar wind flow. Assume average properties of the solar wind of number density 6 protons cm³, and a flow speed of 450 km s-1. Express your answer in units of both kg per year, and solar masses per year. b) Suppose the solar wind flow is perfectly radial. Calculate the expected rate of change of solar rotation frequency dw at the present time, based on conservation of angular momen- tum. Give your answer in units of rad s-1 y-1 (i.e., radians per second per year) and also in terms of fractional change per year, i.e., 1 du. w dt' Use a current solar rotation period of P = 25.38 days to calculate the current angular frequency of rotation w. The moment of inertia of a uniform sphere is MR². You can assume that the radius of the Sun is approximately constant, and the change in its moment of inertia due to the solar wind is only due to the mass loss. Page 3 c) By observing the rotation period of stars similar to the…
- 7. What are the wavelengths of the two photons produced when a proton and antiproton annihilate? 8. The A° cannot decay by the following reactions. What conservation laws are violated in each of the reactions? (а) Л° - п+п-. (b) A° + p+ K¯. (c) A° + n+ + T¯.How long will a 7 solar mass balck hole live?2. Draw a Feynman diagram for each of the following reactions, provided it is allowed. If the reaction is forbidden explain why. μ → eveVμ τ' →μνμύτ Vμе- → Veft- Vμe+ → Vel+ Vμe+ → Vef+ Vμnμp VμP →μ+n eté → VμVμ ete- →T+T- e¯e → ee
- 1: Briefly explain what are neutron stars and then estimate the escape velocity of a neutron star.5. What is the mass of a black hole formed at the beginning of the universe that would explode by the Hawking process at the time the universe becomes transparent to radiation-approximately 400,000 yr after the big bang? fluctuation can2) How does the mean density of a 1.5 Mo neutron star compare to a carbon nucleus? Assume the carbon nucleus has a radius r=3 x 10–15 m.