(d) Scientists believe the reasons for the difference velocity due to dark matter rDMir) from Ro and dra (e) Derive the dark matter mass Mprtr)enclosed in (f) Explain briefly three theories that provide explan.
(d) Scientists believe the reasons for the difference velocity due to dark matter rDMir) from Ro and dra (e) Derive the dark matter mass Mprtr)enclosed in (f) Explain briefly three theories that provide explan.
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Astrophysics
I need the solution to d,e and f
Transcribed Image Text:(d) Scientists believe the reasons for the difference
velocity due to dark matter rDMir) from Ro and dra
(e) Derive the dark matter mass Mprtr)enclosed in
(f) Explain briefly three theories that provide explan.
Expert Solution
Step 1
(d)
The expression for rotational velocity be given as,
Step 2
The plot of velocity with radius is as follows:
Step 3
(e)
The mass of the dark matter is formed about 85 % of the mass of the universe.
Form thermodynamic relation,
Where,
E be defined as energy.
T be defined as the temperature.
S be defined as entropy.
Step 4
Now using Unruh temperature associated with the local accelerating observer be defined as,
Step 5
For entropy,
Where,
A be defined as the area of Jacobson
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