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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. Thermo: Blackbody Radiation
L = T - V dL/dq = d/dt dL/dqdot
P² ~ R³
J/(ne) n: atom density
F = s * T4
2. Rayleigh criterion
? = 1.22? / d
L = mr²d?/dt
ih_barL_z
.5 LI²
3. Solid: Resistivity of Metal
?~T
E²-p²c²
F = -2*m(? x r)
Dp/dt = L / (t ?V)
4. Inductance of Solenoid
J/(ne) n: atom density
S = k ln[O] ; dS = dQ/T
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
Infinitely close to equilibrium at all times
5. Energy in Inductor
0
v(mean)
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
.5 LI²
6. Lensmaker Equation - Thin Lens
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
?_max = b/T
I = I_cm + md²
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
7. 3 Laws of Thermo
F = s * T4
KE = 1/2 * µ (dr/dt)² L = µ r x v
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
L = mr²d?/dt
8. Double Slit: Interference Minimum - Diffraction Minimum
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
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.
qvb = mv²/R
I = -(c ?t)^2 + d^2
9. Solid: Resistivity of Semi-Conductor
?~1/T
.5 LI²
E = <?| H |?>
1/2 CV²
10. 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
? = 1.22?/D
?? = h/mc * (1-cos(?))
u dm/dt
11. Rocket Equation
Sin(?) = ?/d
.5 LI²
Z²/n² (m_red/m_elec)
Dv = -udm/m - v = v0 + u ln(m0/m)
12. First law of thermodynamics (explain direction of energy for each term)
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
?? = h/mc * (1-cos(?))
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.
13. Energy levels from the Coulomb potential
S = k ln[O] ; dS = dQ/T
?~1/T
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
?? = h/mc * (1-cos(?))
14. Astro: Aperture Formula (Rayleigh Criterion)
?= h/v(2mE)
? = 1.22?/D
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
15. Center of Mass: Kinetic Energy & Angular Momentum
µ0 I1I2 / (2pd)
Asin(?) = m?
KE = 1/2 * µ (dr/dt)² L = µ r x v
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.
16. Dulong Petit Law
(° of Freedom)kT/2
H = H_0 + ?H
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
Cv = dE/dT = 3R
17. Volumetric Expansion
Exp(N(µ-e)/t)
S_mean = s/Sqrt[N]
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
V = V0 + V0 a ?T
18. Quant: Commutator Relation [AB -C]
Exponentially decreasing radial function
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
1/ne - where n is charge carrier density
A[B -C] + [A -C]B
19. Selection rules for atomic transitions
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
Infinitely close to equilibrium at all times
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
C_eq = (? 1/C_i)^-1
20. SR: Spacetime Interval
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
Z²/n² (m_red/m_elec)
ds² = (c*dt)² - ?(x_i)²
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
21. Polarizers - intensity when crossed at ?
P/A = s T^4
µ = m_e/2
I = I_0 Cos[?]^2
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
22. Relativistic Energy
<?1|?2> = 0 ? Orthogonal
NC?T
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
?mc²
23. E field of a capacitor (d->0)
E = s/e_0
Infinitely close to equilibrium at all times
X_L = X_C or X_total = 0
I = I_0 Cos[?]^2
24. Wein'S Displacement Law
L = L_0 Sqrt[1-v^2/c^2]
(3/2) n R ?t
C = 4pe0 ab/(a-b) = inner and outer radii
?max = 2.898 x 10 -³ / T
25. Perturbations
? (t-vx/c²)
?= h/v(2mE)
F = I L X B
H = H_0 + ?H
26. Work (P - V)
E = <?| H |?>
? exp(-e/t)
P1V1 - P2V2 / (? - 1)
dQ = dW +dU
27. Ohm'S Law w/ current density
<T> = -<V>/2
J = E s - s = Conductivity - E = Electric field
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
L = L_0 Sqrt[1-v^2/c^2]
28. Energy for orbits: Hyperbole - Ellipse - Parabola - Circle
F = µ0 q v I / 2pr
Exponentially decreasing radial function
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
29. Law of Mass Action
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
Isentropic
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
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
30. Atom: Bohr Theory Ionization
?~T
E = Z²*E1
Dp/dt = L / (t ?V)
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
31. Boltzmann / Canonical distribution
.5 CV²
Exp(N(µ-e)/t)
? = h/mv
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
32. De Broigle Wavelength
F_f = µ*F_N
DW = P dV
? = h/mv
(3/2) n R ?t
33. EM: Lorentz Force
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
N d flux / dt
F = qv×B
.5 CV²
34. Quant: Expectation Value
<?|O|?>
ih_barL_z
E = <?| H |?>
H = H_0 + ?H
35. Mech: Rotational Energy
J = ? Fdt
Exponentially decreasing radial function
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
T = I?²/2
36. Electromotive Force
I = Im (sinc²(a)) ; a = pai sin(?) / ?
DW/dq
NC?T
X_C = 1/(i?C)
37. Energy in a Capacitor
X_L = X_C or X_total = 0
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
J/(ne) n: atom density
.5 CV²
38. Mech: Parallel Axis Theorem (Moment of Inertia)
I = I_cm + md²
F = mv²/r
Infinitely close to equilibrium at all times
F = qv×B
39. Perpendicular axis theorem
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)
I_z = I_x + I_y (think hoop symmetry)
Dp/dt = L / (t ?V)
40. Internal Energy of an Ideal Gas
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
(3/2) n R ?t
C_eq = ?C_i
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
41. Spherical Capacitor Equation
Opposing charge induced upon conductor
µ = m_e/2
C = 4pe0 ab/(a-b) = inner and outer radii
T^2 = k R^3 - k=constant
42. Magnetic Field of a long solenoid
B = µ0 I n
<T> = -<V>/2
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
43. Poisson distribution (µ and s)
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
Faraday/Lenz: current inducted opposes the changing field
?max = 2.898 x 10 -³ / T
µ=s^2
44. Quant: Orthogonality of States
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.
F = s * T4
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
<?1|?2> = 0 ? Orthogonal
45. Single Slit Diffraction Maximum
P +1/2 ? v² + ?gh = Constant
I_z = I_x + I_y (think hoop symmetry)
Asin(?) = m?
PdV +dU
46. Bohr Model: Radii
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
N²/Z (m_elec/m_red)
I ' = I cos²(?)
47. Source-free RC Circuit
? = 5/3
ma + kx = 0
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
1/ne - where n is charge carrier density
48. Astro: p-p Chain
Q = CVexp(-t/RC)
I = Im (sinc²(a)) ; a = pai sin(?) / ?
X_L = X_C or X_total = 0
4H + 2e- ? He +2? + 6?
49. Atom: Positronium Reduced Mass
Ct²-x²-y²-z²
I_z = I_x + I_y (think hoop symmetry)
µ = m_e/2
U = t^2 d/dt (logZ)
50. Focal point of mirrror with curvature
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
Cos[?] Sin[?] -Sin[?] Cos[?]
F = R/2
<?1|?2> = 0 ? Orthogonal
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