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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. EM: Method of Images
Opposing charge induced upon conductor
.5 LI²
Measurements close to mean
<?|O|?>

2. Thermo: Average Total Energy
ih_barL_z
?~1/T
Q = CVexp(-t/RC)
(° of Freedom)kT/2

3. Single Slit Diffraction Maximum
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
? = ?0 root((1-v/c)/(1+v/c))
U = t^2 d/dt (logZ)
Asin(?) = m?

4. Force exerted on charge by long wire
ds² = (c*dt)² - ?(x_i)²
KE = 1/2 * µ (dr/dt)² L = µ r x v
F = µ0 q v I / 2pr
S = k ln[O] ; dS = dQ/T

5. Partition Function
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
(° of Freedom)kT/2
Dv = -udm/m - v = v0 + u ln(m0/m)
? exp(-e/t)

6. Atom: Positronium Reduced Mass
Series: 1/k_eq = 1/k_1 + 1/k_2; Parallel: k_eq = k_1 + k_2
I = Im (sinc²(a)) ; a = pai sin(?) / ?
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
µ = m_e/2

7. Coriolis Force
1/ne - where n is charge carrier density
F = -2*m(? x r)
V = V0 + V0 a ?T
C_eq = (? 1/C_i)^-1

8. Magnetic Field of a long solenoid
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
E ~ (1/(n_f)² - 1/(n_i)²) ~ 1/?
B = µ0 I n
Dv = -udm/m - v = v0 + u ln(m0/m)

9. Force/length between two wires
µ0 I1I2 / (2pd)
? = 5/3
<?1|?2> = 0 ? Orthogonal
Isentropic

10. Planck Radiation Law
I = -(c ?t)^2 + d^2
Infinitely close to equilibrium at all times
Hbar*?³/(p²c³exp(hbar?/t)-1)
<?|O|?>

11. Thermo: 1st Law
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
V(r) + L²2/2mr²
dQ = dW +dU
I = I_cm + md²

12. Magnetic Field For Current in Long Wire
u dm/dt
T = I?²/2
F = s * T4
µ0 I / 2pR

13. Clausius-Clapeyron Equation
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
C_eq = (? 1/C_i)^-1
Dp/dt = L / (t ?V)
C = 4pe0 ab/(a-b) = inner and outer radii

14. Internal Energy of an Ideal Gas
H = H_0 + ?H
F = -2*m(? x r)
(3/2) n R ?t
Infinitely close to equilibrium at all times

15. Spherical Capacitor Equation
?? = h/mc * (1-cos(?))
F = -2*m(? x r)
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

16. Anomalous Zeeman Effect

17. Bohr Model: Radii
N²/Z (m_elec/m_red)
? = 1.22? / d
µ0 I1I2 / (2pd)
µ0 I / 2pR

18. Current in resistor in RC circuit
? = 1.22? / d
.5 CV²
I = V/R exp(-t/RC)
µ0 I / 2pR

19. EM: Electric Field inside of Conductor
0
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
DS = 0 - dQ = 0 - P V^? = constant
A[B -C] + [A -C]B

20. Source Free RL Circuit
Always Real
u dm/dt
DW = P dV
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2

21. Energy in a Capacitor
.5 CV²
P1V1 - P2V2 / (? - 1)
?max = 2.898 x 10 -³ / T
Isentropic

22. EM: Lorentz Force
B = µ0 I n
Cos[?] Sin[?] -Sin[?] Cos[?]
F = qv×B
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h

23. Center of Mass: Kinetic Energy & Angular Momentum
J = ? Fdt
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
KE = 1/2 * µ (dr/dt)² L = µ r x v
Asin(?) = m?

24. Heat added
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
I ' = I cos²(?)
NC?T
J = E s - s = Conductivity - E = Electric field

25. Rocket Thrust
P +1/2 ? v² + ?gh = Constant
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
? (t-vx/c²)
u dm/dt

26. Bohr Model: Energy
Z²/n² (m_red/m_elec)
? exp(-e/t)
P² ~ R³
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)

27. Hamiltonian and Hamilton'S equations
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
?~1/T
I = I_cm + (1/2)m d^2
E = <?| H |?>

28. Addition of relativistic velocities

29. Polarizers - intensity when crossed at ?
DS = 0 - dQ = 0 - P V^? = constant
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
(3/2) n R ?t
I = I_0 Cos[?]^2

30. EM: Reactance of Capacitor
? = 5/3
X_C = 1/(i?C)
W_A < W_I
PdV +dU

31. Rocket Equation
Braking Radiation
W_A < W_I
DW/dq
Dv = -udm/m - v = v0 + u ln(m0/m)

32. td(entropy) =
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
<?|O|?>
? = ?0 root((1-v/c)/(1+v/c))
PdV +dU

33. Delta Function Potential - type of WF
V = -L di/dt
?? = h/mc * (1-cos(?))
P/A = s T^4
Exponential - E = -ma²/2hbar² - a is strength of delta wellt

34. Malus Law

35. Bernoulli Equation
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
P +1/2 ? v² + ?gh = Constant
v(mean)
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)

36. Perturbations
? (t-vx/c²)
L = mr²d?/dt
H = H_0 + ?H
T = I?²/2

37. Complex impedance (expressions for capacitor and inductor)
Z_c = -i/(?C) ; Z_L = i ? L
dQ = dW +dU
U - ts = -tlog(Z)
1s² - 2s² 2p6 - 3s² 3p6 3d¹°

38. Focal point of mirrror with curvature
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)
F = R/2
T = I?²/2
Measurements close to true value

39. Kepler'S Three Laws
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.
Isentropic
I = Im (sinc²(a)) ; a = pai sin(?) / ?
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³

40. Thermo: Adiabatic Work vs Isothermal Work
W_A < W_I
?s = 0 - ?l = ±1
L = L_0 Sqrt[1-v^2/c^2]
F = µ0 q v I / 2pr

41. Dulong Petit Law
Cv = dE/dT = 3R
ma + kx = 0
F_f = µ*F_N
V = -L di/dt

42. Angular momentum - Central Force Motion
L = mr²d?/dt
? = 5/3
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.
E = <?| H |?>

43. Charge in Capacitor
µ0 I / 2R
Q = CVexp(-t/RC)
P +1/2 ? v² + ?gh = Constant
? = 1.22?/D

44. Mech: Parallel Axis Theorem (Moment of Inertia)
I = I_cm + md²
H = H_0 + ?H
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
µ0 I / 2R

45. Quant: Commutator Relation [AB -C]
X_L = X_C or X_total = 0
C_eq = ?C_i
Dv = -udm/m - v = v0 + u ln(m0/m)
A[B -C] + [A -C]B

46. Perpendicular axis theorem
I_z = I_x + I_y (think hoop symmetry)
S = k ln[O] ; dS = dQ/T
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
P1V1 - P2V2 / (? - 1)

47. Mech: Virial Theorem
Exp(N(µ-e)/t)
1/vLC
<T> = -<V>/2
X_L = X_C or X_total = 0

48. EM: Parallel Capacitance
v(mean)
C_eq = ?C_i
A[B -C] + [A -C]B
I = V/R exp(-t/RC)

49. Time Lorentz Transformation
? (t-vx/c²)
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
Hbar*?³/(p²c³exp(hbar?/t)-1)
? exp(-e/t)

50. Helmholtz Free Energy
U - ts = -tlog(Z)
F_f = µ*F_N
U = t^2 d/dt (logZ)
Series: 1/k_eq = 1/k_1 + 1/k_2; Parallel: k_eq = k_1 + k_2