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Test your basic knowledge |
GRE Physics
Start Test
Study First
Subjects
:
gre
,
science
,
physics
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
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. Stoke'S Theorem
Int ( A . dr) = Int ( del x A) dSurface
u dm/dt
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
?= h/v(2mE)
2. EM: Series Capacitance
L = mr²d?/dt
<T> = 1/2 * <dV/dx>
? = 1.22?/D
C_eq = (? 1/C_i)^-1
3. Weighted average (mean and unc. of mean)
L = L_0 Sqrt[1-v^2/c^2]
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
C_eq = ?C_i
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
4. Quant: Commutator Relation [AB -C]
A[B -C] + [A -C]B
.5 LI²
?s = 0 - ?l = ±1
F = R/2
5. Mech: Impulse
? = ?0 root((1-v/c)/(1+v/c))
E = Z²*E1
J = ? Fdt
F = s * T4
6. Doppler shift for light
.5 LI²
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
(3/2) n R ?t
7. Energy in a Capacitor
?mv
.5 CV²
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
4H + 2e- ? He +2? + 6?
8. Energy in terms of partition function
?_max = b/T
Exponentially decreasing radial function
U = t^2 d/dt (logZ)
? = h/mv
9. Adiabatic processes (dS - dQ - P and V)
<T> = 1/2 * <dV/dx>
X_L = X_C or X_total = 0
DS = 0 - dQ = 0 - P V^? = constant
? = ?0 root((1-v/c)/(1+v/c))
10. Work in a capacitor
V = V0 + V0 a ?T
Always Real
?= h/v(2mE)
1/2 CV²
11. Magnetic field due to a segment of wire
u dm/dt
Ct²-x²-y²-z²
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
12. Heat added
W_A < W_I
NC?T
.5 LI²
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
13. Selection Rules
F = -2*m(? x r)
Braking Radiation
?s = 0 - ?l = ±1
DW = P dV
14. Self Inductance
V = -L di/dt
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
<T> = -<V>/2
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
15. Astro: p-p Chain
(3/2) n R ?t
4H + 2e- ? He +2? + 6?
KE = 1/2 * µ (dr/dt)² L = µ r x v
Asin(?) = m?
16. Mech: Parallel Axis Theorem (Moment of Inertia)
H = H_0 + ?H
I = I_cm + md²
Faraday/Lenz: current inducted opposes the changing field
U = t^2 d/dt (logZ)
17. Atom: Bohr Theory Ionization
E ~ (1/(n_f)² - 1/(n_i)²) ~ 1/?
dQ = dW +dU
E = Z²*E1
Always Real
18. Thermo: Adiabatic Work vs Isothermal Work
Int ( A . dr) = Int ( del x A) dSurface
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
W_A < W_I
P² ~ R³
19. Thermo: Average Total Energy
(° of Freedom)kT/2
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
F = R/2
(3/2) n R ?t
20. Quant: Expectation Value
<?|O|?>
I = Im (sinc²(a)) ; a = pai sin(?) / ?
? (t-vx/c²)
C_eq = ?C_i
21. Force/length between two wires
?~1/T
µ0 I1I2 / (2pd)
E = Z²*E1
C_eq = (? 1/C_i)^-1
22. Delta Function Potential - type of WF
1/vLC
F_f = µ*F_N
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
µ=s^2
23. Addition of relativistic velocities
24. EM: AC Resonance
E ~ (1/(n_f)² - 1/(n_i)²) ~ 1/?
X_L = X_C or X_total = 0
J/(ne) n: atom density
F = I L X B
25. Focal point of mirrror with curvature
F = R/2
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
E = s/e_0
26. EM: Bremsstrahlung (translation)
Braking Radiation
X_L = X_C or X_total = 0
H = H_0 + ?H
µ=s^2
27. Quant: [L_x -L_y] = ?
ih_barL_z
(° of Freedom)kT/2
?~T
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
28. Volumetric Expansion
?max = 2.898 x 10 -³ / T
?mc²
V = V0 + V0 a ?T
L = T - V dL/dq = d/dt dL/dqdot
29. Induced EMF of solenoid
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
L = L_0 Sqrt[1-v^2/c^2]
KE = 1/2 * µ (dr/dt)² L = µ r x v
N d flux / dt
30. SR: Total Energy of a Particle
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
C_eq = (? 1/C_i)^-1
ma + kx = 0
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)
31. EM: Maxwell'S equations
V = -L di/dt
B = µ0 I n
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)
? = h/p
32. Rocket Equation
? exp(-e/t)
U - ts = -tlog(Z)
Dv = -udm/m - v = v0 + u ln(m0/m)
?_max = b/T
33. Partition Function
? exp(-e/t)
B = µ0 I n
U = t^2 d/dt (logZ)
KE = 1/2 * µ (dr/dt)² L = µ r x v
34. EM: Reactance of Capacitor
X_C = 1/(i?C)
F = s * T4
Series: 1/k_eq = 1/k_1 + 1/k_2; Parallel: k_eq = k_1 + k_2
E²-p²c²
35. Perturbations
Ct²-x²-y²-z²
H = H_0 + ?H
ma + kx = 0
Sin(?) = ?/d
36. Bohr Model: Energy
Z²/n² (m_red/m_elec)
Braking Radiation
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
E ~ (1/(n_f)² - 1/(n_i)²) ~ 1/?
37. First law of thermodynamics (explain direction of energy for each term)
ma + kx = 0
L = mr²d?/dt
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.
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
38. Relativistic length contraction
? (t-vx/c²)
L = L_0 Sqrt[1-v^2/c^2]
N²/Z (m_elec/m_red)
?~T
39. Radiation (Larmor - and another neat fact)
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
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
<T> = -<V>/2
40. Astro: Kepler'S Third Law
Isentropic
P² ~ R³
v(mean)
Z_c = -i/(?C) ; Z_L = i ? L
41. Solid: Resistivity of Semi-Conductor
Isentropic
ds² = (c*dt)² - ?(x_i)²
DW = P dV
?~1/T
42. Expectation value of the energy of state |?>
? = h/p
E = <?| H |?>
E = s/e_0
X_C = 1/(i?C)
43. Thermo: Partition Function
Cv = dE/dT = 3R
X_C = 1/(i?C)
? = 1.22? / d
Z = ?g_i*exp(-E/kT)
44. EM: Electric Field inside of Conductor
µ=s^2
Z²/n² (m_red/m_elec)
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
0
45. Thermo: Blackbody Radiation
I = I_cm + md²
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
<T> = -<V>/2
F = s * T4
46. Boltzmann / Canonical distribution
N²/Z (m_elec/m_red)
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
F = mv²/r
V(r) + L²2/2mr²
47. Relativistic Energy
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
0
?mc²
T = I?²/2
48. De Broglie wavelength
? = h/p
Asin(?) = m?
Exponentially decreasing radial function
µ0 I / 2R
49. Thin Film Theory: Constructive / Destructive Interference
Const: 2t = (n +.5)? Destructive 2t = n?
L = T - V dL/dq = d/dt dL/dqdot
<?|O|?>
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.
50. Center of Mass: Kinetic Energy & Angular Momentum
X_L = i?L
KE = 1/2 * µ (dr/dt)² L = µ r x v
N²/Z (m_elec/m_red)
Int ( A . dr) = Int ( del x A) dSurface