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GRE Physics

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. SR: Total Energy of a Particle
(3/2) n R ?t
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)
Isentropic

2. Triplet/singlet states: symmetry and net spin
µ0 I1I2 / (2pd)
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
4H + 2e- ? He +2? + 6?
Isentropic

3. Thermo: Average Total Energy
(° of Freedom)kT/2
Measurements close to mean
<T> = 1/2 * <dV/dx>
? exp(-e/t)

4. Poisson distribution (µ and s)
Cv = dE/dT = 3R
N d flux / dt
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
µ=s^2

5. Time Lorentz Transformation
? (t-vx/c²)
V(r) + L²2/2mr²
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
?~T

6. Angular momentum - Central Force Motion
Dp/dt = L / (t ?V)
E = <?| H |?>
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
L = mr²d?/dt

7. Atom: Positronium Reduced Mass
<T> = 1/2 * <dV/dx>
P/A = s T^4
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
µ = m_e/2

8. Source Free RL Circuit
1/2 CV²
Dv = -udm/m - v = v0 + u ln(m0/m)
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2

9. Current in resistor in RC circuit
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
Dv = -udm/m - v = v0 + u ln(m0/m)
I = V/R exp(-t/RC)
Series: 1/k_eq = 1/k_1 + 1/k_2; Parallel: k_eq = k_1 + k_2

10. Springs in series/parallel
Series: 1/k_eq = 1/k_1 + 1/k_2; Parallel: k_eq = k_1 + k_2
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
NC?T
Exponential - E = -ma²/2hbar² - a is strength of delta wellt

11. Single Slit Diffraction Intensity
I = Im (sinc²(a)) ; a = pai sin(?) / ?
I = -(c ?t)^2 + d^2
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
X_L = X_C or X_total = 0

12. Clausius-Clapeyron Equation
E = s/e_0
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)
Dp/dt = L / (t ?V)
(3/2) n R ?t

13. Adiabatic processes (dS - dQ - P and V)
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
DS = 0 - dQ = 0 - P V^? = constant
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
4H + 2e- ? He +2? + 6?

14. Ohm'S Law w/ current density
I = V/R exp(-t/RC)
Isentropic
Infinitely close to equilibrium at all times
J = E s - s = Conductivity - E = Electric field

15. Quant: [L_x -L_y] = ?
ih_barL_z
1/2 CV²
? = 1.22? / d
V(r) + L²2/2mr²

16. Charge in Capacitor
Q = CVexp(-t/RC)
?_max = b/T
? exp(-e/t)
I = -(c ?t)^2 + d^2

17. De Broglie wavelength
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
Z = ?g_i*exp(-E/kT)
v(mean)
? = h/p

18. Work (P - V)
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
Infinitely close to equilibrium at all times
P1V1 - P2V2 / (? - 1)
?mv

19. Resonance frequency of LC circuit
Always Real
?mc²
1/vLC
A[B -C] + [A -C]B

20. Energy in Inductor
.5 LI²
ih_barL_z
dU = 0 ? dS = ?dW/T
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0

21. Rocket Equation
In Zeeman effect - the contribution of electron spin to total angular momentum means that it isn'T always three lines and they are not always equally spaced.
C = 4pe0 ab/(a-b) = inner and outer radii
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
Dv = -udm/m - v = v0 + u ln(m0/m)

22. Single Slit Diffraction Maximum
?= h/v(2mE)
W' = (w-v)/(1-w v/c^2) ; observer in S sees an object moving at velocity w; another frame S' moves at v wrt S.
Asin(?) = m?
? = h/p

23. Solid: Resistivity of Metal
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
N d flux / dt
?~T

24. EM: Method of Images
J = E s - s = Conductivity - E = Electric field
µ0 I / 2R
Opposing charge induced upon conductor
? exp(-e/t)

25. Virial Theorem
U - ts = -tlog(Z)
<T> = 1/2 * <dV/dx>
Dv = -udm/m - v = v0 + u ln(m0/m)
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)

26. Magnetic Field For Current in Long Wire
µ0 I / 2pR
Infinitely close to equilibrium at all times
?~1/T
Always Real

27. Force exerted on charge by long wire
F = µ0 q v I / 2pr
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
Dp/dt = L / (t ?V)
F = s * T4

28. Parallel axis theorem
Faraday/Lenz: current inducted opposes the changing field
I = I_cm + (1/2)m d^2
W_A < W_I
N d flux / dt

29. Rayleigh criterion
J = ? Fdt
Int ( A . dr) = Int ( del x A) dSurface
I_z = I_x + I_y (think hoop symmetry)
? = 1.22? / d

30. Mech: Rotational Energy
T = I?²/2
µ0 I / 2pR
Measurements close to mean
? = h/p

31. Invariant spatial quantity
I = I_cm + (1/2)m d^2
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
C_eq = (? 1/C_i)^-1
Ct²-x²-y²-z²

32. td(entropy) =
1/2 CV²
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
PdV +dU
E ~ (1/(n_f)² - 1/(n_i)²) ~ 1/?

33. Heat added
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
NC?T
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])

34. Focal point of mirrror with curvature
F = R/2
Dp/dt = L / (t ?V)
1/ne - where n is charge carrier density
W' = (w-v)/(1-w v/c^2) ; observer in S sees an object moving at velocity w; another frame S' moves at v wrt S.

35. Atom: Bohr Formula
E = <?| H |?>
E ~ (1/(n_f)² - 1/(n_i)²) ~ 1/?
qvb = mv²/R
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2

36. Internal Energy of an Ideal Gas
(3/2) n R ?t
P² ~ R³
v(mean)
E = <?| H |?>

37. EM: Bremsstrahlung (translation)
Braking Radiation
E = <?| H |?>
? (t-vx/c²)
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.

38. Partition Function
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)
Always Real
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
? exp(-e/t)

39. Anomalous Zeeman Effect

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40. Relativistic Momentum
Faraday/Lenz: current inducted opposes the changing field
?mv
N²/Z (m_elec/m_red)
S = k ln[O] ; dS = dQ/T

41. EM: AC Resonance
I = V/R exp(-t/RC)
X_C = 1/(i?C)
X_L = X_C or X_total = 0
Exponentially decreasing radial function

42. Induced EMF of solenoid
N d flux / dt
? = h/mv
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
E²-p²c²

43. Electromotive Force
(° of Freedom)kT/2
DW/dq
µ = Current * Area T = µ x B
1s² - 2s² 2p6 - 3s² 3p6 3d¹°

44. EM: SHO (Hooke)
µ = Current * Area T = µ x B
<T> = -<V>/2
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
ma + kx = 0

45. Coriolis Force
Always Real
F = -2*m(? x r)
I = -(c ?t)^2 + d^2
F_f = µ*F_N

46. Source-free RC Circuit
L = L_0 Sqrt[1-v^2/c^2]
I = V/R exp(-t/RC)
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)

47. Invariant Energy Quantity
J/(ne) n: atom density
E = s/e_0
E²-p²c²
M? = 2dsin(?)

48. Kepler'S Three Laws
F = s * T4
J = ? Fdt
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
DW/dq

49. Compton Scattering
S_mean = s/Sqrt[N]
X_C = 1/(i?C)
C_eq = ?C_i
?? = h/mc * (1-cos(?))

50. EM: Electromagnetic inertia
Exp(N(µ-e)/t)
? (t-vx/c²)
Faraday/Lenz: current inducted opposes the changing field
4H + 2e- ? He +2? + 6?