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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. Effective Potential
H = H_0 + ?H
Z_c = -i/(?C) ; Z_L = i ? L
Z = ?g_i*exp(-E/kT)
V(r) + L²2/2mr²
2. Relativistic Energy
.5 CV²
µ0 I / 2pR
?mc²
F = f* (c+v_r)/(c+v_s)
3. EM: Bremsstrahlung (translation)
1/ne - where n is charge carrier density
? = h/mv
.5 CV²
Braking Radiation
4. Thin Film Theory: Constructive / Destructive Interference
Const: 2t = (n +.5)? Destructive 2t = n?
J = ? Fdt
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)
5. Addition of relativistic velocities
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6. A reversible process stays..
Sin(?) = ?/d
C_eq = ?C_i
Infinitely close to equilibrium at all times
H = H_0 + ?H
7. Expectation value of the energy of state |?>
.5 CV²
E = <?| H |?>
Const: 2t = (n +.5)? Destructive 2t = n?
C_eq = (? 1/C_i)^-1
8. Commutator identities ( [B -A C] - [A -B] )
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
Cos[?] Sin[?] -Sin[?] Cos[?]
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
I = I_cm + (1/2)m d^2
9. Boltzmann / Canonical distribution
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
F_f = µ*F_N
I = I_0 Cos[?]^2
10. Angular momentum - Central Force Motion
?= h/v(2mE)
L = mr²d?/dt
PdV +dU
v(mean)
11. RLC resonance condition
? = 5/3
C_eq = (? 1/C_i)^-1
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
12. De Broglie wavelength
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
W_A < W_I
? = h/p
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
13. Wein'S Displacement Law
?max = 2.898 x 10 -³ / T
µ=s^2
dU = 0 ? dS = ?dW/T
I = V/R exp(-t/RC)
14. Magnetic Field of a long solenoid
F = qv×B
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
I ' = I cos²(?)
B = µ0 I n
15. Work done on a gas
dQ = dW +dU
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
DW = P dV
16. Adiabatic means
Isentropic
Const: 2t = (n +.5)? Destructive 2t = n?
C_eq = (? 1/C_i)^-1
F = qv×B
17. Doppler shift for light
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
ds² = (c*dt)² - ?(x_i)²
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
F = -2*m(? x r)
18. Charge in Capacitor
B = µ0 I n
I = -(c ?t)^2 + d^2
Q = CVexp(-t/RC)
F = f* (c+v_r)/(c+v_s)
19. Internal Energy of an Ideal Gas
?? = h/mc * (1-cos(?))
(3/2) n R ?t
C_eq = ?C_i
F = R/2
20. Kepler'S third law (T and R)
T^2 = k R^3 - k=constant
U - ts = -tlog(Z)
Z²/n² (m_red/m_elec)
Int ( A . dr) = Int ( del x A) dSurface
21. Lab: Accuracy of Measurements
<?1|?2> = 0 ? Orthogonal
Measurements close to true value
W_A < W_I
µ = Current * Area T = µ x B
22. Force on a wire in magnetic field
X_C = 1/(i?C)
F = I L X B
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
? = h/p
23. Rayleigh criterion
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
F = qv×B
? = 1.22? / d
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
24. Thermo: Partition Function
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)
Z = ?g_i*exp(-E/kT)
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
25. EM: Reactance of Capacitor
Dp/dt = L / (t ?V)
C = 4pe0 ab/(a-b) = inner and outer radii
X_C = 1/(i?C)
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
26. Doppler Shift in Frequency
F = f* (c+v_r)/(c+v_s)
Isentropic
dU = 0 ? dS = ?dW/T
I_z = I_x + I_y (think hoop symmetry)
27. Delta Function Potential - type of WF
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
µ0 I / 2pR
DS = 0 - dQ = 0 - P V^? = constant
I = I_cm + md²
28. Magnetic Dipole Moment and Torque
µ = Current * Area T = µ x B
P +1/2 ? v² + ?gh = Constant
KE = 1/2 * µ (dr/dt)² L = µ r x v
0
29. Mech: Rotational Energy
U - ts = -tlog(Z)
T = I?²/2
Q = CVexp(-t/RC)
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.
30. Stark Effect
Braking Radiation
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
(° of Freedom)kT/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
31. EM: Electromagnetic inertia
Faraday/Lenz: current inducted opposes the changing field
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
Exponentially decreasing radial function
32. Invariant spatial quantity
F = qv×B
Measurements close to true value
Ct²-x²-y²-z²
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
33. Magnetic Field For Current in Long Wire
µ0 I / 2pR
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)
F_f = µ*F_N
Measurements close to mean
34. Astro: Kepler'S Third Law
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
µ0 I / 2R
?s = 0 - ?l = ±1
P² ~ R³
35. Entropy (# of states - and in terms of other thermo quantities)
S = k ln[O] ; dS = dQ/T
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
0
Cos[?] Sin[?] -Sin[?] Cos[?]
36. Energy in terms of partition function
?= h/v(2mE)
U = t^2 d/dt (logZ)
P² ~ R³
Measurements close to true value
37. Mech: Impulse
Isentropic
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
F = qv×B
J = ? Fdt
38. Relativistic Momentum
(° of Freedom)kT/2
Ct²-x²-y²-z²
F = s * T4
?mv
39. Ohm'S Law w/ current density
J = E s - s = Conductivity - E = Electric field
v(mean)
Cos[?] Sin[?] -Sin[?] Cos[?]
T^2 = k R^3 - k=constant
40. Work (P - V)
P1V1 - P2V2 / (? - 1)
ds² = (c*dt)² - ?(x_i)²
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
<T> = -<V>/2
41. Law of Mass Action
Faraday/Lenz: current inducted opposes the changing field
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
I = I_cm + md²
PdV +dU
42. Bohr Model: Radii
?_max = b/T
N²/Z (m_elec/m_red)
<T> = 1/2 * <dV/dx>
Z = ?g_i*exp(-E/kT)
43. Resonance frequency of LC circuit
DS = 0 - dQ = 0 - P V^? = constant
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
1/vLC
T = I?²/2
44. Center of Mass: Kinetic Energy & Angular Momentum
KE = 1/2 * µ (dr/dt)² L = µ r x v
1/ne - where n is charge carrier density
P1V1 - P2V2 / (? - 1)
F = qv×B
45. Heat added
<T> = -<V>/2
NC?T
Braking Radiation
Const: 2t = (n +.5)? Destructive 2t = n?
46. Biot-Savart law
J = E s - s = Conductivity - E = Electric field
µ = Current * Area T = µ x B
? exp(-e/t)
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
47. Gibbs Factor
ih_barL_z
L = mr²d?/dt
Exp(N(µ-e)/t)
Always Real
48. EM: Reactance of Inductor
u dm/dt
L = mr²d?/dt
X_L = i?L
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
49. Invariant Energy Quantity
µ0 I / 2R
ds² = (c*dt)² - ?(x_i)²
E²-p²c²
Z_c = -i/(?C) ; Z_L = i ? L
50. Double Slit: Interference Minimum - Diffraction Minimum
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
Asin(?) = m?
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
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