Astronomy C

Test your knowledge of various Science Olympiad events.
Locked
EKT26
Member
Member
Posts: 22
Joined: October 25th, 2019, 4:32 pm
Division: C
State: NY
Has thanked: 3 times
Been thanked: 3 times
Contact:

Astronomy C

Post by EKT26 »

Starting off from last marathon:

A. What's the density of a schwarzschild black hole with a mass of 6.0E31 kg? (in kg/m^3)
B. Would this black hole be more or less dense than a more massive one?
C. What's the black hole's temperature
D. What would the wavelength of the emitted blackbody radiation be from a black body with the temperature from C? (in m)
E. How much would a black hole of this size bend light passing just above the schwarzschild radius? (in radians)
Kellenberg Memorial High School: 2020-2021
Bro. Fox Latin School: 2017-2019

Astronomy, Machines, Chem Lab, :mrgreen: Disease Detectives, and Ping-Pong Parachute are where I’m at.
User avatar
Name
Member
Member
Posts: 434
Joined: January 21st, 2018, 4:41 pm
Division: C
State: NY
Pronouns: He/Him/His
Has thanked: 49 times
Been thanked: 46 times

Re: Astronomy C

Post by Name »

EKT26 wrote: September 8th, 2020, 10:33 am Starting off from last marathon:

A. What's the density of a schwarzschild black hole with a mass of 6.0E31 kg? (in kg/m^3)
B. Would this black hole be more or less dense than a more massive one?
C. What's the black hole's temperature
D. What would the wavelength of the emitted blackbody radiation be from a black body with the temperature from C? (in m)
E. How much would a black hole of this size bend light passing just above the schwarzschild radius? (in radians)
 a. 2.024E19 kg/m^3
b. more dense
c. 2.045E-8 K
d. 1.417E5 m
e. uh 2 radians? not sure if this is right
South Woods MS, Syosset HS '21
BirdSO TD/ES
Past Events: Microbe, Invasive, Matsci, Fermi, Astro, Code, Fossils
1st place MIT Codebusters 2019-2020
1st place NYS Fermi Questions (2019), Astronomy and Codebusters (2021)
Science Olympiad Founder's Scholarship winner
astronomybuff
Member
Member
Posts: 36
Joined: January 25th, 2020, 9:19 am
Division: C
State: NC
Has thanked: 1 time
Been thanked: 4 times

Re: Astronomy C

Post by astronomybuff »

Wait, how would you answer those questions? I'm only familiar with the formula for the scharzschild radius.
User avatar
Name
Member
Member
Posts: 434
Joined: January 21st, 2018, 4:41 pm
Division: C
State: NY
Pronouns: He/Him/His
Has thanked: 49 times
Been thanked: 46 times

Re: Astronomy C

Post by Name »

astronomybuff wrote: September 8th, 2020, 11:14 am Wait, how would you answer those questions? I'm only familiar with the formula for the scharzschild radius.
a and b is just scharzschild a couple of times. this is useful for c. d is wiens law, and e I used the 2(Rs/R) formula given here but idk if that's right
South Woods MS, Syosset HS '21
BirdSO TD/ES
Past Events: Microbe, Invasive, Matsci, Fermi, Astro, Code, Fossils
1st place MIT Codebusters 2019-2020
1st place NYS Fermi Questions (2019), Astronomy and Codebusters (2021)
Science Olympiad Founder's Scholarship winner
astronomybuff
Member
Member
Posts: 36
Joined: January 25th, 2020, 9:19 am
Division: C
State: NC
Has thanked: 1 time
Been thanked: 4 times

Re: Astronomy C

Post by astronomybuff »

Sorry, I'm a bit slow. We are looking for the volume, so how does the schwarzchild formula give us that?
RiverWalker88
Exalted Member
Exalted Member
Posts: 163
Joined: February 24th, 2020, 7:14 pm
Division: Grad
State: NM
Pronouns: He/Him/His
Has thanked: 98 times
Been thanked: 204 times

Re: Astronomy C

Post by RiverWalker88 »

astronomybuff wrote: September 8th, 2020, 12:38 pm Sorry, I'm a bit slow. We are looking for the volume, so how does the schwarzchild formula give us that?
I believe you'd calculate the schwartzchild radius and then use that to calculate the volume of the sphere (not certain that's correct, that's how I'd do it)
New Mexico Institute of Mining and Technology '26, Physics
astronomybuff
Member
Member
Posts: 36
Joined: January 25th, 2020, 9:19 am
Division: C
State: NC
Has thanked: 1 time
Been thanked: 4 times

Re: Astronomy C

Post by astronomybuff »

Ohhh ty!
EKT26
Member
Member
Posts: 22
Joined: October 25th, 2019, 4:32 pm
Division: C
State: NY
Has thanked: 3 times
Been thanked: 3 times
Contact:

Re: Astronomy C

Post by EKT26 »

Yup! That's correct! Last one was just a gut check

I always just found it interesting with how much you can do with such little information with black holes.

Also for the density one, since the volume is based off the mass too, you can just derive a "density equation" if you want to skip finding the schwarzschild radius.
Kellenberg Memorial High School: 2020-2021
Bro. Fox Latin School: 2017-2019

Astronomy, Machines, Chem Lab, :mrgreen: Disease Detectives, and Ping-Pong Parachute are where I’m at.
EKT26
Member
Member
Posts: 22
Joined: October 25th, 2019, 4:32 pm
Division: C
State: NY
Has thanked: 3 times
Been thanked: 3 times
Contact:

Re: Astronomy C

Post by EKT26 »

Name wrote: September 8th, 2020, 11:03 am
EKT26 wrote: September 8th, 2020, 10:33 am Starting off from last marathon:

A. What's the density of a schwarzschild black hole with a mass of 6.0E31 kg? (in kg/m^3)
B. Would this black hole be more or less dense than a more massive one?
C. What's the black hole's temperature
D. What would the wavelength of the emitted blackbody radiation be from a black body with the temperature from C? (in m)
E. How much would a black hole of this size bend light passing just above the schwarzschild radius? (in radians)
 a. 2.024E19 kg/m^3
b. more dense
c. 2.045E-8 K
d. 1.417E5 m
e. uh 2 radians? not sure if this is right
That's correct! Your turn
Kellenberg Memorial High School: 2020-2021
Bro. Fox Latin School: 2017-2019

Astronomy, Machines, Chem Lab, :mrgreen: Disease Detectives, and Ping-Pong Parachute are where I’m at.
RiverWalker88
Exalted Member
Exalted Member
Posts: 163
Joined: February 24th, 2020, 7:14 pm
Division: Grad
State: NM
Pronouns: He/Him/His
Has thanked: 98 times
Been thanked: 204 times

Re: Astronomy C

Post by RiverWalker88 »

Aight, I think it's probably time for a revive.
  1. When Isaac Newton first began estimating distances to stars, he assumed that their brightness was only directly proportional to their distance. He calculated the distance to the star Sirius of about double the actual distance. What two incorrect assumptions did he make that lead to the incorrect quantity?
  2. In order to correctly find the distance to Sirius, how would he go about calculating the distance?
Mr.Epithelium wrote: September 10th, 2020, 3:07 pm Some exciting new topics for 2021! Can we make this the longest chain again? :D
Let's try to exceed the length the Anatomy & Physiology question marathon, add some competition to this :twisted:. We're already at a good start, with triple the posts. Can we streamline our lead?
These users thanked the author RiverWalker88 for the post:
Mr.Epithelium (September 15th, 2020, 11:30 am)
New Mexico Institute of Mining and Technology '26, Physics
Locked

Return to “2021 Question Marathons”

Who is online

Users browsing this forum: No registered users and 1 guest