Physics
Which fruit is radioactive?
Let A be a 3×3 matrix with eigenvalues 2,3,5. What is det(exp(A))
e^(2) + e^(3) + e^(5)
Who was the first Emperor of Rome?
Augustus (aka Octavian)
In the original Iron Man movie (2008), what fictional element powers Iron Man's arc reactor?
Palladium
The presence of immense quantities of what gas causes the surface of Venus to be hotter than even the daytime side of Mercury?
Carbon Dioxide
What formulation of mechanics uses the principle of least action?
Lagrangian mechanics
Let S3 be the symmetric group of 3 elements, what is its order?
While Apollo 11 was the first, what was the last Apollo mission to land on the Moon?
Apollo 17
In The Flash, what physical concept is referenced when Barry vibrates at different frequencies to phase through objects?
What region of icy, orbiting debris includes among its largest members the bodies Sedna, Quaoar, and Pluto?
Kuiper Belt
Which famous quantum algorithm uses the Quantum Fourier Transform to efficiently find the period of a modular exponentiation function - enabling integer factorization?
Shor's Algorithm
How many subgroups does Z_12 have?
6
What year did the French Revolution start?
1789
In Good Will Hunting, Matt Damon's character solves what type of advanced math problem on a hallway chalkboard at MIT?
A graph theory (combinatorics) problem
Which galaxy is currently on a collision course with the Milky Way?
The Andromeda Galaxy
What gauge condition simplifies the scalar and vector potentials in electrodynamics?
What is the smallest number expressible as the sum of two cubes in two different ways?
1729
In November 1620, what document for self-governence did the members of the Plymouth colony sign when arriving in America?
The Mayflower Compact
In The Imitation Game, Alan Turing uses math to break what WW2 cipher machine?
the Enigma Machine
What do "cosmic lighthouses" refer to that have strong magnetic fields and spin rapidly?
Pulsars
What theorem shows that every symmetry of the Lagrangian corresponds to a conserved quantity?
Noether's theorem
How many trailing zeros are there in the decimal representation of 1000!
249
Which famous mathematician fought a duel over a math problem and died at age 20?
Évariste Galois
Kip Thorne
What constellation is this?
Cygnus (The Swan)