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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. Thermo: Blackbody Radiation
S = k ln[O] ; dS = dQ/T
F = s * T4
(3/2) n R ?t
µ0 I / 2R

2. Anomalous Zeeman Effect

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3. Lab: Standard Deviation of Poisson
S = (hbar/2) s ;with S = S_x xhat + S_y yhat + S_z zhat -s = s_x xhat + s_y yhat + s_z zhat
v(mean)
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
?_max = b/T

4. Law of Mass Action
Opposing charge induced upon conductor
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
Exponential - E = -ma²/2hbar² - a is strength of delta wellt

5. Heat added
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
NC?T
Opposing charge induced upon conductor
F_f = µ*F_N

6. E field of a capacitor (d->0)
Measurements close to true value
C = 4pe0 ab/(a-b) = inner and outer radii
E = s/e_0
L = mr²d?/dt

7. Adiabatic means
F = f* (c+v_r)/(c+v_s)
Isentropic
P² ~ R³
µ=s^2

8. Energy in Inductor
F = f* (c+v_r)/(c+v_s)
.5 LI²
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]

9. Coriolis Force
µ0 I / 2R
I = I_cm + md²
F = -2*m(? x r)
PdV +dU

10. Stoke'S Theorem
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.
µ = m_e/2
X_L = X_C or X_total = 0
Int ( A . dr) = Int ( del x A) dSurface

11. Rocket Thrust
C_eq = ?C_i
? = 1.22? / d
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
u dm/dt

12. Biot-Savart law
E = <?| H |?>
µ0 I / 2pR
Cos[?] Sin[?] -Sin[?] Cos[?]
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2

13. Astro: p-p Chain
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
4H + 2e- ? He +2? + 6?
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
Opposing charge induced upon conductor

14. Virial Theorem
.5 LI²
I = Im (sinc²(a)) ; a = pai sin(?) / ?
?_max = b/T
<T> = 1/2 * <dV/dx>

15. Poisson distribution (µ and s)
µ=s^2
(3/2) n R ?t
PdV +dU
? = h/p

16. Double Slit: Interference Minimum - Diffraction Minimum
L = L_0 Sqrt[1-v^2/c^2]
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
Dp/dt = L / (t ?V)
V = V0 + V0 a ?T

17. Force on a wire in magnetic field
F = I L X B
qvb = mv²/R
M? = 2dsin(?)
? = 1.22?/D

18. Internal Energy of an Ideal Gas
(3/2) n R ?t
DW = P dV
NC?T
.5 LI²

19. Source-free RC Circuit
J/(ne) n: atom density
L = L_0 Sqrt[1-v^2/c^2]
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)

20. Addition of relativistic velocities

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21. Bernoulli Equation
J/(ne) n: atom density
J = E s - s = Conductivity - E = Electric field
P +1/2 ? v² + ?gh = Constant
.5 CV²

22. Inductance of Solenoid
C_eq = ?C_i
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
I = Im (sinc²(a)) ; a = pai sin(?) / ?
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length

23. Mean electron drift speed
DW = P dV
J/(ne) n: atom density
Int ( A . dr) = Int ( del x A) dSurface
0

24. EM: Bremsstrahlung (translation)
(3/2) n R ?t
Braking Radiation
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]

25. Magnetic Field of a long solenoid
F = mv²/r
B = µ0 I n
J = ? Fdt
Infinitely close to equilibrium at all times

26. A reversible process stays..
Infinitely close to equilibrium at all times
Z_c = -i/(?C) ; Z_L = i ? L
Measurements close to true value
X_C = 1/(i?C)

27. Mech: Parallel Axis Theorem (Moment of Inertia)
?mv
I = I_cm + md²
0
E = s/e_0

28. Mech: Impulse
S = k ln[O] ; dS = dQ/T
J = ? Fdt
P1V1 - P2V2 / (? - 1)
?= h/v(2mE)

29. Solid: Resistivity of Semi-Conductor
Int ( A . dr) = Int ( del x A) dSurface
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
?~1/T
.5 CV²

30. Source Free RL Circuit
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
Z_c = -i/(?C) ; Z_L = i ? L
Measurements close to mean
F = -2*m(? x r)

31. Work done on a gas
L = T - V dL/dq = d/dt dL/dqdot
P² ~ R³
DW = P dV
? exp(-e/t)

32. Magnetic Field For Current in Long Wire
DS = 0 - dQ = 0 - P V^? = constant
µ0 I / 2pR
I = V/R exp(-t/RC)
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)

33. Stefan-Boltzmann law for blackbodies (power per area and T)
P/A = s T^4
I = I_0 Cos[?]^2
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)
? = 5/3

34. Mech: Force of Friction
µ0 I / 2pR
F = R/2
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
F_f = µ*F_N

35. Charge in Capacitor
U = t^2 d/dt (logZ)
ma + kx = 0
µ = Current * Area T = µ x B
Q = CVexp(-t/RC)

36. Polarizers - intensity when crossed at ?
H = H_0 + ?H
(3/2) n R ?t
I = I_0 Cos[?]^2
Always Real

37. Radiation (Larmor - and another neat fact)
DW = P dV
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length

38. Volumetric Expansion
V = V0 + V0 a ?T
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
J/(ne) n: atom density
?s = 0 - ?l = ±1

39. Electromotive Force
S_mean = s/Sqrt[N]
Faraday/Lenz: current inducted opposes the changing field
Infinitely close to equilibrium at all times
DW/dq

40. Magnetic Field Through Ring
µ0 I / 2R
F_f = µ*F_N
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
<?|O|?>

41. EM: Electromagnetic inertia
PdV +dU
Faraday/Lenz: current inducted opposes the changing field
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
Measurements close to true value

42. Wein'S displacement law for blackbodies (? and T)
? = h/p
C_eq = ?C_i
NC?T
?_max = b/T

43. De Broigle Wavelength
<?1|?2> = 0 ? Orthogonal
I = V/R exp(-t/RC)
? = h/mv
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h

44. Energy levels from the Coulomb potential
ds² = (c*dt)² - ?(x_i)²
N d flux / dt
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
J = E s - s = Conductivity - E = Electric field

45. RLC resonance condition
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
Z²/n² (m_red/m_elec)
I = I_cm + md²
? = h/mv

46. Thermo: Partition Function
Z = ?g_i*exp(-E/kT)
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
F = s * T4
U - ts = -tlog(Z)

47. Delta Function Potential - type of WF
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
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.
.5 CV²
.5 LI²

48. Work in a capacitor
C_eq = ?C_i
J = ? Fdt
I = V/R exp(-t/RC)
1/2 CV²

49. Self Inductance
V = -L di/dt
Hbar*?³/(p²c³exp(hbar?/t)-1)
Dp/dt = L / (t ?V)
Braking Radiation

50. Center of Mass: Kinetic Energy & Angular Momentum
N d flux / dt
KE = 1/2 * µ (dr/dt)² L = µ r x v
µ=s^2
?mv