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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
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
M? = 2dsin(?)
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
F = s * T4

2. Parallel axis theorem
M? = 2dsin(?)
Exponentially decreasing radial function
I = I_cm + (1/2)m d^2
.5 CV²

3. Bohr Model: Energy
L = mr²d?/dt
Z²/n² (m_red/m_elec)
F = -2*m(? x r)
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))

4. Stefan-Boltzmann law for blackbodies (power per area and T)
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
F = f* (c+v_r)/(c+v_s)
P/A = s T^4
.5 LI²

5. Poisson distribution (µ and s)
µ=s^2
F = f* (c+v_r)/(c+v_s)
F = R/2
I_z = I_x + I_y (think hoop symmetry)

6. Current in resistor in RC circuit
I = V/R exp(-t/RC)
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
C_eq = (? 1/C_i)^-1
E²-p²c²

7. Solid: Resistivity of Semi-Conductor
A[B -C] + [A -C]B
?~1/T
qvb = mv²/R
V = -L di/dt

8. Error in the mean if each measurement has the same uncertainty s
Z²/n² (m_red/m_elec)
?mc²
S_mean = s/Sqrt[N]
When you apply a uniform electric field - it induces a dipole moment and interacts with it - and that effect depends on |mj |. So if j is an integer - splits (asymmetrically) into j+1 levels - and if j is a half integer - splits (asymmetrically) into

9. Time Lorentz Transformation
? = 1.22?/D
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
? (t-vx/c²)
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)

10. Planck Radiation Law
L = mr²d?/dt
Hbar*?³/(p²c³exp(hbar?/t)-1)
L = L_0 Sqrt[1-v^2/c^2]
L = T - V dL/dq = d/dt dL/dqdot

11. Thermo: Isothermal
<?|O|?>
µ0 I / 2pR
dU = 0 ? dS = ?dW/T
0

12. Rayleigh criterion
? = 1.22? / d
1/vLC
µ0 I / 2R
<?|O|?>

13. Mech: Rotational Energy
L = mr²d?/dt
U = t^2 d/dt (logZ)
T = I?²/2
1/vLC

14. Selection Rules
Always Real
?s = 0 - ?l = ±1
P² ~ R³
?max = 2.898 x 10 -³ / T

15. EM: AC Resonance
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
X_L = X_C or X_total = 0
Braking Radiation
H = H_0 + ?H

16. Self Inductance
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
µ = m_e/2
V = -L di/dt

17. Wein'S Displacement Law
Always Real
E = <?| H |?>
?max = 2.898 x 10 -³ / T
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)

18. Springs in series/parallel
?mv
E²-p²c²
Series: 1/k_eq = 1/k_1 + 1/k_2; Parallel: k_eq = k_1 + k_2
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))

19. E field of a capacitor (d->0)
E = s/e_0
1/ne - where n is charge carrier density
dU = 0 ? dS = ?dW/T
? exp(-e/t)

20. EM: Series Capacitance
Sin(?) = ?/d
C_eq = (? 1/C_i)^-1
? = 1.22?/D
4H + 2e- ? He +2? + 6?

21. Coriolis Force
I = I_0 Cos[?]^2
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
F = -2*m(? x r)
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.

22. Astro: p-p Chain
H = H_0 + ?H
PdV +dU
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
4H + 2e- ? He +2? + 6?

23. Doppler Shift in Frequency
F = f* (c+v_r)/(c+v_s)
V = V0 + V0 a ?T
Q = CVexp(-t/RC)
Measurements close to true value

24. Stark Effect
.5 LI²
?max = 2.898 x 10 -³ / T
P² ~ R³
When you apply a uniform electric field - it induces a dipole moment and interacts with it - and that effect depends on |mj |. So if j is an integer - splits (asymmetrically) into j+1 levels - and if j is a half integer - splits (asymmetrically) into

25. Weighted average (mean and unc. of mean)
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)
X_L = i?L

26. Thermo: Partition Function
Z = ?g_i*exp(-E/kT)
I = V/R exp(-t/RC)
I ' = I cos²(?)
J = ? Fdt

27. Lab: Accuracy of Measurements
I ' = I cos²(?)
qvb = mv²/R
Measurements close to true value
Dp/dt = L / (t ?V)

28. Delta Function Potential - type of WF
ma + kx = 0
?~T
P² ~ R³
Exponential - E = -ma²/2hbar² - a is strength of delta wellt

29. Dulong Petit Law
Always Real
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
Cv = dE/dT = 3R

30. Complex impedance (expressions for capacitor and inductor)
.5 CV²
Z_c = -i/(?C) ; Z_L = i ? L
? = 5/3
Cos[?] Sin[?] -Sin[?] Cos[?]

31. td(entropy) =
?~1/T
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
PdV +dU
A[B -C] + [A -C]B

32. EM: Bremsstrahlung (translation)
µ = m_e/2
Braking Radiation
F_f = µ*F_N
qvb = mv²/R

33. Bragg'S Law of Reflection
M? = 2dsin(?)
F = mv²/r
T^2 = k R^3 - k=constant
?_max = b/T

34. Mech: Virial Theorem
<T> = -<V>/2
DS = 0 - dQ = 0 - P V^? = constant
Isentropic
KE = 1/2 * µ (dr/dt)² L = µ r x v

35. SR: Total Energy of a Particle
X_C = 1/(i?C)
u dm/dt
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)
Z = ?g_i*exp(-E/kT)

36. First law of thermodynamics (explain direction of energy for each term)
µ = Current * Area T = µ x B
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
P1V1 - P2V2 / (? - 1)

37. Angular momentum operators L^2 and L_z
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
<?|O|?>
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i

38. Mech: Impulse
U = t^2 d/dt (logZ)
J = ? Fdt
Dp/dt = L / (t ?V)
?? = h/mc * (1-cos(?))

39. Pauli matrices
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
NC?T
P1V1 - P2V2 / (? - 1)
S = k ln[O] ; dS = dQ/T

40. Invariant Energy Quantity
S = k ln[O] ; dS = dQ/T
E²-p²c²
J/(ne) n: atom density
X_C = 1/(i?C)

41. Inductance of Solenoid
Exponentially decreasing radial function
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
ds² = (c*dt)² - ?(x_i)²

42. Atom: Hydrogen Wave Function Type
Exponentially decreasing radial function
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
Z²/n² (m_red/m_elec)
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³

43. Magnetic Dipole Moment and Torque
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
Exponentially decreasing radial function
M? = 2dsin(?)
µ = Current * Area T = µ x B

44. A reversible process stays..
Infinitely close to equilibrium at all times
Braking Radiation
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
Faraday/Lenz: current inducted opposes the changing field

45. Biot-Savart law
I = Im (sinc²(a)) ; a = pai sin(?) / ?
4H + 2e- ? He +2? + 6?
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
Always Real

46. Mean electron drift speed
T^2 = k R^3 - k=constant
E = s/e_0
J/(ne) n: atom density
F = µ0 q v I / 2pr

47. Single Slit Diffraction Intensity
Cos[?] Sin[?] -Sin[?] Cos[?]
4H + 2e- ? He +2? + 6?
I = Im (sinc²(a)) ; a = pai sin(?) / ?
M? = 2dsin(?)

48. RLC resonance condition
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
I = V/R exp(-t/RC)
I = I_cm + md²
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]

49. Hall Coefficient
Infinitely close to equilibrium at all times
qvb = mv²/R
DS = 0 - dQ = 0 - P V^? = constant
1/ne - where n is charge carrier density

50. Anomalous Zeeman Effect

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