Calculating Neutrino Passage in a Supernova Explosion

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Homework Help Overview

The discussion revolves around a physics problem involving the calculation of neutrinos passing through a planet during a supernova explosion. The scenario describes a supernova emitting 500 neutrinos in a spherical manner, with a planet located 1000 km away and having a radius of 50 km.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the method of calculating the number of neutrinos passing through the planet by comparing the cross-sectional area of the planet to the surface area of the neutrino explosion. There is uncertainty about the correct use of terms such as "surface area" versus "cross-section."

Discussion Status

The conversation reflects confusion regarding the terminology and the calculations involved. Some participants express frustration over the clarity of responses, while others attempt to clarify the distinction between surface area and cross-sectional area in the context of the problem.

Contextual Notes

There appears to be a misunderstanding about the appropriate formulas to use for the areas involved in the calculation, which may affect the interpretation of the problem.

Khlaar
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Ok, some of you guys will probably find this easy because I've only just started Physics to a very slightly higher level, but whatever. Basically the question is as follows (I'm just remembering this off the top of my head, won't use the proper figures, it's doing it that matters):

A supernova explodes, sending out 500 neutrinos in a spherical explosion. There is a planet 1000km away of radius 50km. How many neutrinos pass through the planet?

IIRC I did this by doing 4πr² on the 1000km, giving the "surface area" of the neutrino explosion. Then doing πr² on the planet's 50km you get it's area. Then divide the area of the planet by the surface area of the explosion, and multiplying that decimal by the number of neutrinos. Was this correct? (I suspect not..)
 
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Khlaar said:
Ok, some of you guys will probably find this easy because I've only just started Physics to a very slightly higher level, but whatever. Basically the question is as follows (I'm just remembering this off the top of my head, won't use the proper figures, it's doing it that matters):

A supernova explodes, sending out 500 neutrinos in a spherical explosion. There is a planet 1000km away of radius 50km. How many neutrinos pass through the planet?

IIRC I did this by doing 4πr² on the 1000km, giving the "surface area" of the neutrino explosion. Then doing πr² on the planet's 50km you get it's area. Then divide the area of the planet by the surface area of the explosion, and multiplying that decimal by the number of neutrinos. Was this correct? (I suspect not..)

Welcome to PF.

You are only interested in the cross sectional area of the planet as a percentage of the surface area of the sphere measured from the emission.
 
Ok, I'm pretty sure I did that - did I?
 
Khlaar said:
Ok, I'm pretty sure I did that - did I?

Only your hair dresser knows for sure that you meant cross-section and not surface area of the planet.

If you used πr² for that, then you should be ok.
 
LowlyPion said:
Only your hair dresser knows for sure that you meant cross-section and not surface area of the planet.

No... "Then doing πr² on the planet's 50km you get it's area." surface area would require a completely different formula
 
Khlaar said:
No... "Then doing πr² on the planet's 50km you get it's area." surface area would require a completely different formula

Neutrinos pass through like it's a shadow disk of area on the surface of the event sphere.
 
LowlyPion said:
Neutrinos pass through like it's a shadow disk of area on the surface of the event sphere.

There's been some miscommunication somewhere here

I initially asked whether I did the question correct, to which you answered something about proportions.

Then I asked whether I did do it, to which you replied something about a hairdryer..

Then I asked, for a third time, whether I did it, and now you're talking about neutrinos.

I appreciate your offer, but you're not helping at all.
 
Khlaar said:
I appreciate your offer, but you're not helping at all.

Fair enough. I'll just bow out then.
 
LowlyPion said:
Fair enough. I'll just bow out then.

There's no need to bow out, just you've made 4 posts so far and you've not helped whatsoever.

Can anyone help? Did I do it correct?
 

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