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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. SR: Spacetime Interval
E = Z²*E1
S_mean = s/Sqrt[N]
ds² = (c*dt)² - ?(x_i)²
Ct²-x²-y²-z²
2. Bragg'S Law of Reflection
M? = 2dsin(?)
L = T - V dL/dq = d/dt dL/dqdot
Series: 1/k_eq = 1/k_1 + 1/k_2; Parallel: k_eq = k_1 + k_2
ih_barL_z
3. Partition Function
E = <?| H |?>
Z = ?g_i*exp(-E/kT)
? exp(-e/t)
Cos[?] Sin[?] -Sin[?] Cos[?]
4. Volumetric Expansion
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
µ = m_e/2
N d flux / dt
V = V0 + V0 a ?T
5. Doppler shift for light
<?1|?2> = 0 ? Orthogonal
Dv = -udm/m - v = v0 + u ln(m0/m)
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
6. Rotation matrix (2x2)
Cos[?] Sin[?] -Sin[?] Cos[?]
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
N²/Z (m_elec/m_red)
U - ts = -tlog(Z)
7. Virial Theorem
Measurements close to mean
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
<T> = 1/2 * <dV/dx>
X_L = i?L
8. Stark Effect
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
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
Exponentially decreasing radial function
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
9. Malus Law
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10. Inductance of Solenoid
? = 1.22? / d
ds² = (c*dt)² - ?(x_i)²
Exp(N(µ-e)/t)
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
11. Ohm'S Law w/ current density
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
J = E s - s = Conductivity - E = Electric field
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
12. Kepler'S Three Laws
<T> = 1/2 * <dV/dx>
E = <?| H |?>
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
13. Astro: p-p Chain
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
4H + 2e- ? He +2? + 6?
I = I_cm + (1/2)m d^2
dQ = dW +dU
14. Mech: Rotational Energy
T = I?²/2
V = V0 + V0 a ?T
P +1/2 ? v² + ?gh = Constant
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
15. Delta Function Potential - type of WF
KE = 1/2 * µ (dr/dt)² L = µ r x v
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
U = t^2 d/dt (logZ)
Q = CVexp(-t/RC)
16. Magnetic Field of a long solenoid
B = µ0 I n
Z_c = -i/(?C) ; Z_L = i ? L
1/ne - where n is charge carrier density
P² ~ R³
17. E field of a capacitor (d->0)
Hbar*?³/(p²c³exp(hbar?/t)-1)
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
E = s/e_0
dQ = dW +dU
18. Perturbations
H = H_0 + ?H
? = h/mv
µ0 I1I2 / (2pd)
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
19. td(entropy) =
F = I L X B
B = µ0 I n
E ~ (1/(n_f)² - 1/(n_i)²) ~ 1/?
PdV +dU
20. Polarizers - intensity when crossed at ?
I = I_0 Cos[?]^2
? = 1.22?/D
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
21. Bohr Model: Radii
N²/Z (m_elec/m_red)
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
?? = h/mc * (1-cos(?))
Asin(?) = m?
22. Thermo: Monatomic gas ?=?
? = 5/3
? = 1.22?/D
C = 4pe0 ab/(a-b) = inner and outer radii
N d flux / dt
23. Rocket Equation
Faraday/Lenz: current inducted opposes the changing field
M? = 2dsin(?)
Dv = -udm/m - v = v0 + u ln(m0/m)
I ' = I cos²(?)
24. Selection rules for atomic transitions
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
Hbar*?³/(p²c³exp(hbar?/t)-1)
?= h/v(2mE)
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
25. Thermo: Isothermal
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
L = T - V dL/dq = d/dt dL/dqdot
S = k ln[O] ; dS = dQ/T
dU = 0 ? dS = ?dW/T
26. Entropy (# of states - and in terms of other thermo quantities)
DS = 0 - dQ = 0 - P V^? = constant
?max = 2.898 x 10 -³ / T
S = k ln[O] ; dS = dQ/T
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
27. Magnetic field due to a segment of wire
µ0 I1I2 / (2pd)
? = h/mv
E = s/e_0
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
28. Induced EMF of solenoid
N d flux / dt
P +1/2 ? v² + ?gh = Constant
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
29. 3 Laws of Thermo
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)
?_max = b/T
Z_c = -i/(?C) ; Z_L = i ? L
30. Work (P - V)
V = -L di/dt
P1V1 - P2V2 / (? - 1)
1/ne - where n is charge carrier density
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.
31. Mech: Virial Theorem
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.
Isentropic
<T> = -<V>/2
? = 1.22?/D
32. Magnetic Dipole Moment and Torque
<T> = 1/2 * <dV/dx>
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
Ct²-x²-y²-z²
µ = Current * Area T = µ x B
33. EM: Bremsstrahlung (translation)
Isentropic
Braking Radiation
Q = CVexp(-t/RC)
F = qv×B
34. Adiabatic processes (dS - dQ - P and V)
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
P +1/2 ? v² + ?gh = Constant
?max = 2.898 x 10 -³ / T
DS = 0 - dQ = 0 - P V^? = constant
35. Thermo: Adiabatic Work vs Isothermal Work
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
F = s * T4
W_A < W_I
Hbar*?³/(p²c³exp(hbar?/t)-1)
36. Perpendicular axis theorem
I_z = I_x + I_y (think hoop symmetry)
F = f* (c+v_r)/(c+v_s)
X_L = X_C or X_total = 0
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
37. Energy in Inductor
dU = 0 ? dS = ?dW/T
Z_c = -i/(?C) ; Z_L = i ? L
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
.5 LI²
38. Thermo: Average Total Energy
P1V1 - P2V2 / (? - 1)
(° of Freedom)kT/2
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
39. Law of Mass Action
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
dQ = dW +dU
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
40. Thin Film Theory: Constructive / Destructive Interference
1/2 CV²
Const: 2t = (n +.5)? Destructive 2t = n?
F = µ0 q v I / 2pr
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
41. Rayleigh criterion
M? = 2dsin(?)
?max = 2.898 x 10 -³ / T
Dp/dt = L / (t ?V)
? = 1.22? / d
42. Angular momentum operators L^2 and L_z
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
dQ = dW +dU
1/vLC
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
43. Mean electron drift speed
J/(ne) n: atom density
?~T
Exponentially decreasing radial function
? = 1.22? / d
44. Energy levels from the Coulomb potential
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
F = qv×B
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
E²-p²c²
45. Mech: Impulse
Z²/n² (m_red/m_elec)
u dm/dt
J = ? Fdt
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
46. Energy in a Capacitor
? = h/mv
W_A < W_I
.5 CV²
Dp/dt = L / (t ?V)
47. Force on a wire in magnetic field
Opposing charge induced upon conductor
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
V = V0 + V0 a ?T
F = I L X B
48. EM: Parallel Capacitance
F = mv²/r
C_eq = ?C_i
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
49. EM: SHO (Hooke)
? = 1.22? / d
DS = 0 - dQ = 0 - P V^? = constant
ma + kx = 0
(3/2) n R ?t
50. Triplet/singlet states: symmetry and net spin
? = ?0 root((1-v/c)/(1+v/c))
Hbar*?³/(p²c³exp(hbar?/t)-1)
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]