# 23.6 The mystery of the gamma-ray bursts  (Page 12/27)

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How would the spectra of a type II supernova be different from a type Ia supernova? Hint: Consider the characteristics of the objects that are their source.

## Figuring for yourself

The ring around SN 1987A ( [link] ) initially became illuminated when energetic photons from the supernova interacted with the material in the ring. The radius of the ring is approximately 0.75 light-year from the supernova location. How long after the supernova did the ring become illuminated?

What is the acceleration of gravity ( g ) at the surface of the Sun? (See Appendix E for the Sun’s key characteristics.) How much greater is this than g at the surface of Earth? Calculate what you would weigh on the surface of the Sun. Your weight would be your Earth weight multiplied by the ratio of the acceleration of gravity on the Sun to the acceleration of gravity on Earth. (Okay, we know that the Sun does not have a solid surface to stand on and that you would be vaporized if you were at the Sun’s photosphere. Humor us for the sake of doing these calculations.)

What is the escape velocity from the Sun? How much greater is it than the escape velocity from Earth?

What is the average density of the Sun? How does it compare to the average density of Earth?

Say that a particular white dwarf has the mass of the Sun but the radius of Earth. What is the acceleration of gravity at the surface of the white dwarf? How much greater is this than g at the surface of Earth? What would you weigh at the surface of the white dwarf (again granting us the dubious notion that you could survive there)?

What is the escape velocity from the white dwarf in [link] ? How much greater is it than the escape velocity from Earth?

What is the average density of the white dwarf in [link] ? How does it compare to the average density of Earth?

Now take a neutron star that has twice the mass of the Sun but a radius of 10 km. What is the acceleration of gravity at the surface of the neutron star? How much greater is this than g at the surface of Earth? What would you weigh at the surface of the neutron star (provided you could somehow not become a puddle of protoplasm)?

What is the escape velocity from the neutron star in [link] ? How much greater is it than the escape velocity from Earth?

What is the average density of the neutron star in [link] ? How does it compare to the average density of Earth?

One way to calculate the radius of a star is to use its luminosity and temperature and assume that the star radiates approximately like a blackbody. Astronomers have measured the characteristics of central stars of planetary nebulae and have found that a typical central star is 16 times as luminous and 20 times as hot (about 110,000 K) as the Sun. Find the radius in terms of the Sun’s. How does this radius compare with that of a typical white dwarf?

According to a model described in the text, a neutron star has a radius of about 10 km. Assume that the pulses occur once per rotation. According to Einstein’s theory of relatively, nothing can move faster than the speed of light. Check to make sure that this pulsar model does not violate relativity. Calculate the rotation speed of the Crab Nebula pulsar at its equator, given its period of 0.033 s. (Remember that distance equals velocity × time and that the circumference of a circle is given by 2π R ).

Do the same calculations as in [link] but for a pulsar that rotates 1000 times per second.

If the Sun were replaced by a white dwarf with a surface temperature of 10,000 K and a radius equal to Earth’s, how would its luminosity compare to that of the Sun?

A supernova can eject material at a velocity of 10,000 km/s. How long would it take a supernova remnant to expand to a radius of 1 AU? How long would it take to expand to a radius of 1 light-years? Assume that the expansion velocity remains constant and use the relationship: $\text{expansion time}=\frac{\text{distance}}{\text{expansion velocity}}.$

A supernova remnant was observed in 2007 to be expanding at a velocity of 14,000 km/s and had a radius of 6.5 light-years. Assuming a constant expansion velocity, in what year did this supernova occur?

The ring around SN 1987A ( [link] ) started interacting with material propelled by the shockwave from the supernova beginning in 1997 (10 years after the explosion). The radius of the ring is approximately 0.75 light-year from the supernova location. How fast is the supernova material moving, assume a constant rate of motion in km/s?

Before the star that became SN 1987A exploded, it evolved from a red supergiant to a blue supergiant while remaining at the same luminosity. As a red supergiant, its surface temperature would have been approximately 4000 K, while as a blue supergiant, its surface temperature was 16,000 K. How much did the radius change as it evolved from a red to a blue supergiant?

What is the radius of the progenitor star that became SN 1987A? Its luminosity was 100,000 times that of the Sun, and it had a surface temperature of 16,000 K.

What is the acceleration of gravity at the surface of the star that became SN 1987A? How does this g compare to that at the surface of Earth? The mass was 20 times that of the Sun and the radius was 41 times that of the Sun.

What was the escape velocity from the surface of the SN 1987A progenitor star? How much greater is it than the escape velocity from Earth? The mass was 20 times that of the Sun and the radius was 41 times that of the Sun.

What was the average density of the star that became SN 1987A? How does it compare to the average density of Earth? The mass was 20 times that of the Sun and the radius was 41 times that of the Sun.

If the pulsar shown in [link] is rotating 100 times per second, how many pulses would be detected in one minute? The two beams are located along the pulsar’s equator, which is aligned with Earth.

What is heliocentric
helio is from the greek god helios or ilios and means sun. Centric is from central. So heliocentric means with the sun in the middle
Robin
Usually in the context of astronomy its about the moment the world goes from the idea of 'earth in the middle of the solar system' to the idea that the sun is in the center of the solar system
Robin
so from a geocentric (geo meaning earth) to a heliocentric idea
Robin
yes correct this theory states that sun is in the middle of the solar system rather than earth
Tanmay
oh you have already said this
Tanmay
how much temperature were can find on neptune
how can I apply online astronomy course ? if you have link send it.
what is astronomy
Khanyisa
Does any body know about Quantum Battery ?
yea I tell you briefly callme
Eyiba
How to get into the field of astronomy after completing B.tech in department of ECE?
Well my option is to do your job while getting a distant education from a reptued university for B.Sc and try for M.Sc in IIA and remaining astrophysics universities in india
Mahesh
Do I require GATE score for that?
Lakshmi
Yeah I meañ get a better score in gate.I think the university considers it and would help you to direct enroll into a masters progarmme
Mahesh
But the score should be good.
Mahesh
okay. I will do my best.
Lakshmi
Thank you
Lakshmi
hi guys I am from Ethiopia.I don't know detailedly about astronomy and I want to be astronaut .can you help me guys?
Dawit
I know that astronauts have to be physically fit
Tanmay
I don't know anything else though
Tanmay
If you want to be a astronaut you should complete medicine.
Mahesh
I had done by my b.tech ece long back and then I started doing job...but I still want to switch my field to astronomy, I m confused how shall I pursue it..
Shina
what should we pursue after 12th std B.Sc program and further or through engineering?
Ganesh
Maybe you should ask this question in quora.Professors will tell you answer to the question.
Mahesh
ok
Ganesh
Wanna join conversation about time travel?
Of course
Yabtsega
From where do we start?
Yabtsega
what do you think which year we would be able to time travel?
Tanmay
I think we can travel through a wormhole
Pratiksha
wormholes make you cover a distance faster than light can I don't think they can do anything with time though
Tanmay
hmm
Pratiksha
any guesses about which year that may be true?
Tanmay
time travel
Tanmay
but Morgan Freeman has told that time travel can be exist also through wormhole
Pratiksha
I think the past life
Pratiksha
I am dumb you are correct we can time travel with wormholes
Tanmay
yes you are correct
Tanmay
u see the episodes of Morgan Freeman on discovery channel, he explains nice and there also other astronomy people's which explain all about space time and all about universe
Pratiksha
no I don't watch discovery I will see it now thanks
Tanmay
yr welcome
Pratiksha
yr not dumb, every student are intelligent
Pratiksha
Pratiksha
I heard a really nice thought it said " We need time travel. When? It doesn't matter" What do you think of it?
Tanmay
sorry!!, but I didn't understand
Pratiksha
I don't know who made it but it's nice
Tanmay
I mean it takes 3 days and 14 hours for one revolution around its star
Hardik
it says that we need time travel but when do we need it? it actually doesn't matter because if time travel was made then we can go back in time and make it earlier
Tanmay
did you understand that thought? if yes, so can you explain me!
Pratiksha
so if say A makes time machine in 2080 then he can travel in 2010 and make that time machine again
Tanmay
I meant I don't know who made this
Tanmay
ohh
Pratiksha
still didn't understand 😅
Pratiksha
thought
Tanmay
I think my net is slow it is break ing up my
Tanmay
sentences
Tanmay
yeah!!
Pratiksha
it's fine
Pratiksha
I switched my internet it should be good now I meant that I don't know who made this thought does anyone know who made it?
Tanmay
@Pratiksha you understood it or should I simplify it more?
Tanmay
nahh!! I don't know, I heard it first time,
Pratiksha
just simply it
Pratiksha
@Hardik what do you mean? what is "it" here?
Tanmay
it means the π planet
Hardik
my last message didn't reach u ppl 😅
Hardik
simply if A developed time machine in the year 2080 then another person B can always use that time machine to go back in time and develope the same time machine in 2010 before the actual developer(A) developed that time machine
Tanmay
Hey Astros!
Info
@Hardik I your last message that says "I mean it takes 3 days and 14 hours for one revolution around its star" But this is also your first message
Tanmay
@Pratiksha it just says that the year of development of time machine can be changed easily and so will the developer
Tanmay
@Info hi anything to say here? any questions or answers or something
Tanmay
thanks tanmay patra
Pratiksha
welcome
Tanmay
is anyone interested to time travel!?!!!
Pratiksha
oh yes count me in
Tanmay
wow!! me too
Pratiksha
the study of astronomy is really very interesting
Pratiksha
a question for all of you. If you are told that you can either see the future of the earth or you can see the past of the earth then which one will you choose?
Tanmay
you can only see one thing no voting for both and also give reasons
Tanmay
I wanna past of the earth, because I want to make my future
Pratiksha
If you wanna past of earth for future then spend your present for that possibility
Mahesh
is there a competition formed by NASA in this month
nooo
Kygo
don't know
Pratiksha
It's because of presence of iron oxide in its surface.
That point is known as Singularity
Indian culture talks about black holes very well
Tushar
The word "MAHAKAAL" means black hole
Tushar
I love Quantum mechanics
Tushar
I love particle physics
Tushar
wow do you know about some maths in quantum physics?
Tanmay
Exactly.
Anti-Capitalism
Hi! Anybody can tell me that what is the exactly the black hole?
l no
Jee
OK then tell me
sach
A black hole is a space where gravity pulls so much that even light cannot get out.
Pratiksha
This can happen when a star is dying
Pratiksha
ok👍
Pratiksha
Explain more
sach
ok wait
Pratiksha
when a star of mass greater than 20 times the mass of sun dies it forms a stellar mass black hole
Tanmay
it bends space time so much that you need to travel faster than speed of light to get out of it
Tanmay
the innermost stable orbit of a black hole is that orbit where only light speed particles can orbit it
Tanmay
accretion disk of black holes are the matter that it gained from the surrounding orbiting the black holes
Tanmay
black hole forms when the center of very massive star collapsed it upon it self
Pratiksha
relativistic jets come out of black holes when the angle between accretion disk is not 90 degrees(this might be wrong but I know that it has to do something with magnetic field)
Tanmay
@pratiksha you took a lot of time to type this I thought you are Going to type an essay
Tanmay
@Gurjinder you can ask it here
Tanmay
sorry, but the text was not going 😅
Pratiksha
OK thanks
sach
yr most welcome sis
Pratiksha
I am a student class 12
Tanmay
there are 3 types of black holes stellar mass intermediate mass and super massive black holes
Tanmay
yeah!
Pratiksha
super massive black holes are found at the center of most galaxies
Tanmay
My hometown is at Odisha but I study and live in up
Tanmay
I still don't know a lot of stuff especially the maths involved in astrophysics
Tanmay
becoming an astrophysics thanks for your words
Tanmay
oh cool what all subjects are you studying
Tanmay
oh it happens sometimes
Tanmay
Tanmay
are there any chapters only for astrophysics
Tanmay
thank you same to you
Tanmay
oh that's a lot of hard work I hope you get great achievements can you tell me what all you are currently studying and which channel
Tanmay
oh that's a good strategy thank you
Tanmay
super
Jee
positional astronomy?
Tanmay
can you tell what positional astronomy is
Tanmay
I am fairly good in trigonometry but really bad at graphs
Tanmay
Hello everyone.Looks a cool discussion
Mahesh
ok I will practice thanks
Tanmay
where are you studying @Gurjinder
Mahesh
Jee
At which college I meañ.
Mahesh
Good
Mahesh
I want to be a astronomer,astrophysicist,theortical physicist and a engineer
Mahesh
I am not that good at self study
Mahesh
@Gurjinder that's a lot of hardwork I have high respect for you
Tanmay
I am always curious
Mahesh
Tanmay
Lol
Mahesh
is college better than school?
Pratiksha
l am in school
Jee
Mainly from feymann if you want a good grip of basics
Mahesh
me too
Pratiksha
I just completed so what.Learning has no age limit.
Mahesh
which standard
Jee
Tanmay
l no
Jee
I love the book on quantum mechanics
Mahesh
though I hate classical mechanics
Mahesh
yeah the education system in India just cares about Mark's I don't know what will happen to the new system
Tanmay
yeah! yr right
Pratiksha
I love the new system.
Mahesh
They are going to introduce
Mahesh
but I am happy to know that people around the world are destroying it
Tanmay
the old system
Tanmay
Hmmm
Mahesh
what is black hole is something and what can do a black hole is another thing
Kygo
A black hole is a singularity where matter is condensed and a gravity well that light cannot escape from.
Micheal
what is blue marble
it is the another name of earth.
hey friends how are you?
why Mars is known as red planet?
blue marble not blue planet,so it z not earth but the image of earth taken in 19's
Ethical
b/c of mars is known as red planet it have iron oxide or rust iron.
Dawit
you know when I was small, I had seen a comet ☄️ in the sky but I have a doubt that was that really a comet or meteors.. what is the difference between these two?
Do any one observe the moon every night?
I do look at it but with naked eyes
Tanmay
what do you see?
Shivam
sometime not every night as clouds are often there in the sky
Jugal
I look stars,Venus and moon by naked eye as I have no telescope yet
Jugal
how much does a telescope cost
Shivam
depending upon the resolution.....good resolution cost more
Jugal
I can some big dark spots from my naked eyes
Tanmay
A good telescope would cost 400\$
Tushar
I have 16 inch dobsonian(truss tube).I'm observing Orion nebula and studying it.
Tushar
wow I am jealous.
Mahesh
why
Tushar
I have made this telescope by my own efforts
Tushar
16 inch is big enough to see Galaxies and star clusters
Tushar
Mahesh
Yes
Tushar
But for that you need Some engineering skills and some proper guidance
Tushar
My Uncles helped me
Tushar
I'm from middle class family This project was funded by Uncles
Tushar
I am from a middle class family too
Mahesh
Uncommon For Me
Anti-Capitalism
What do you think will happen if we find humans rather than aliens on other planets?
Hmmm
Mahesh
let's assume that those humans are just like us physically and mentally. Then what do you think will happen?
Tanmay
We and those humans form a conference like meeting and talk to improve the connection from both sides
Mahesh
But I think that the connection won't be trustworthy
Tanmay
In the same they think about us...
Mahesh
yeah you are correct they might send imposters to collect more data about us
Tanmay
The same way trump and Kim are acting in front of media as they sorted it out...
Mahesh
this would be a really tough situation
Tanmay
You think so...
Mahesh
If you go to Europe there are high chances of underwater creatures what about that..
Mahesh
underwater creatures what? I didn't understand what you are saying
Tanmay
You know europa
Mahesh
yes
Tanmay
The water on europa is more than the water in our earth that is able to sustain lige
Mahesh
So scientists predicted that there maybe underwater life in europa
Mahesh
oh yes I heard it
Tanmay
So in the time of crisis we can go to europa and bulid underwater colonies.
Mahesh
ok but a lot of people would have to be left behind
Tanmay
it is smaller than our moon
Tanmay
But we can bulid underwater floating cities . scientists said that not me..
Mahesh
Yeah and I have been wanting to ask you. Are you a girl or boy..
Mahesh
I am a boy
Tanmay
ok
Mahesh
yeah I don't know who they will leave behind and who will go to that
Tanmay
what do you think who all will be left
Tanmay
I didn't quite catch the question.Say it again..
Mahesh
what do you think, who will be left behind in earth in the time of disaster and who all would go to europa
Tanmay
I don't think all humans can be able to travel.So some humans and animals
Mahesh
yeah the astronauts would have select people so what do you think that on what basis they will select us
Tanmay
I think all the productive people would be allowed in the ship
Tanmay
Hmm I don't know.Maybe the people who are on the verge of dying and who are incapable for space travel are left behind I think.
Mahesh
yeah all the people capable of continuing our generation would be allowed. I hope that time shall not come
Tanmay
It will come.Time is inevitable
Mahesh
Do you know that Newton predicted that the world will end in 2060
Mahesh
some were saying that world would end in 2016
Tanmay
but I never heard Newton about 2060 one
Tanmay
But this Newton we are talking about not a astrologer or civilization calaender
Mahesh
I mean I never heard Newton saying that
Tanmay
He said it is one of his works I think..
Mahesh
but according to sanskrit calendar the earth will be doomed is a million years or so
Tanmay
as told by my teacher that the "kal yug" will end in a million years
Tanmay
kaliyug..
Mahesh
Not kal you
Mahesh
oh yes that
Tanmay
Hmm let's see.Did you watch meowise
Mahesh
Neowise
Mahesh
no I don't know what that is
Tanmay
comet neowise
Mahesh
no I never saw or heard about it
Tanmay
Really.It appeared in last month for a period of days
Mahesh
did it come at the end of August?
Tanmay
or somewhere in middle?
Tanmay
Yeah
Mahesh
Middle it is..
Mahesh
oh then I would have been able to see that but I didn't
Tanmay
I just searched it and it's orbital period is ginormous 6766 years
Tanmay
Yeah
Mahesh
That's why so many star grazers have clicked many photos of it all around the world
Mahesh
yeah I saw the photos
Tanmay
have you heard about doomsday clock?
Tanmay
kind of..
Mahesh
Btw what is the logic of a doomsday clock
Debabrata
some people have made a community which based on political stuff change the time of this clock
Tanmay
for me this is worthless to be honest
Tanmay
Are we living in a simulation?
it could be true.
Shivam
at this time there is no way for us to find out that we are in a simulation or not
Tanmay
We can say our universe is a simulation if we were able to do time travel and find out that no matter what you do future will remain same
Tanmay
It could be true because in every 100 years a pandemic comes and tests us,how are we doing in management against pandemic.There are some people that are extraordinary and they are discovering things that are essential for us to know,.There are alot of ufo sightings on earth every year.
Shivam
and there was a rumour that NASA had 2 two alien bodies in area51.Why NASA is not sending more missions on moon and not going there.They are just focusing on Mars but not on moon,when every one is focusing on lunar research.
Shivam