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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. Internal Energy of an Ideal Gas
Sin(?) = ?/d
(3/2) n R ?t
Ct²-x²-y²-z²
I = I_0 Cos[?]^2
2. Doppler Shift in Frequency
F = f* (c+v_r)/(c+v_s)
X_C = 1/(i?C)
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
<?|O|?>
3. Parallel axis theorem
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
I = I_cm + (1/2)m d^2
?max = 2.898 x 10 -³ / T
Cv = dE/dT = 3R
4. Ohm'S Law w/ current density
NC?T
S = k ln[O] ; dS = dQ/T
J = E s - s = Conductivity - E = Electric field
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
5. Doppler shift for light
E = <?| H |?>
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
Ct²-x²-y²-z²
6. E field of a capacitor (d->0)
E = s/e_0
.5 LI²
F = I L X B
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
7. EM: Series Capacitance
C_eq = (? 1/C_i)^-1
Z²/n² (m_red/m_elec)
S_mean = s/Sqrt[N]
? (t-vx/c²)
8. Coriolis Force
µ0 I / 2pR
Braking Radiation
I = Im (sinc²(a)) ; a = pai sin(?) / ?
F = -2*m(? x r)
9. Force/length between two wires
µ0 I1I2 / (2pd)
ds² = (c*dt)² - ?(x_i)²
?mc²
u dm/dt
10. Mean electron drift speed
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
X_L = X_C or X_total = 0
J/(ne) n: atom density
U - ts = -tlog(Z)
11. Thermo: Isothermal
ih_barL_z
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
dU = 0 ? dS = ?dW/T
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
12. Spherical Capacitor Equation
C = 4pe0 ab/(a-b) = inner and outer radii
µ = m_e/2
? = h/p
v(mean)
13. Energy in a Capacitor
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
U - ts = -tlog(Z)
V = V0 + V0 a ?T
.5 CV²
14. Lab: Precision of Measurements
B = µ0 I n
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
Measurements close to mean
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
15. Lagrangian and Lagrange'S equation
? = 1.22? / d
Cv = dE/dT = 3R
Cos[?] Sin[?] -Sin[?] Cos[?]
L = T - V dL/dq = d/dt dL/dqdot
16. Mech: Impulse
Q = CVexp(-t/RC)
J = ? Fdt
V = -L di/dt
1/ne - where n is charge carrier density
17. Invariant spatial quantity
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
Ct²-x²-y²-z²
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 = -(c ?t)^2 + d^2
18. Inductance of Solenoid
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
.5 CV²
19. Gibbs Factor
?L/A - L = length - A = cross sectional area - rho is electrical resistivity
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
Exp(N(µ-e)/t)
(° of Freedom)kT/2
20. Double Slit: Interference Minimum - Diffraction Minimum
dQ = dW +dU
P² ~ R³
? = ?0 root((1-v/c)/(1+v/c))
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
21. Bohr Model: Radii
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
I_z = I_x + I_y (think hoop symmetry)
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
N²/Z (m_elec/m_red)
22. Rayleigh criterion
J/(ne) n: atom density
? = 1.22? / d
1/ne - where n is charge carrier density
? = ?0 root((1-v/c)/(1+v/c))
23. Astro: p-p Chain
I = -(c ?t)^2 + d^2
4H + 2e- ? He +2? + 6?
0
<?|O|?>
24. Atom: Hydrogen Wave Function Type
F = qv×B
W_A < W_I
<T> = -<V>/2
Exponentially decreasing radial function
25. Atom: Bohr Theory Ionization
E = Z²*E1
M? = 2dsin(?)
(° of Freedom)kT/2
E = <?| H |?>
26. Mech: Virial Theorem
<T> = -<V>/2
E²-p²c²
F = qv×B
1. Heat is energy 2. Entropy never decreases 3. Entropy approaches a constant value as t -> 0...
27. Lensmaker Equation - Thin Lens
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
F = qv×B
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
?s = 0 - ?l = ±1
28. Bohr Model: Energy
Z²/n² (m_red/m_elec)
Z_c = -i/(?C) ; Z_L = i ? L
Measurements close to true value
<T> = 1/2 * <dV/dx>
29. Triplet/singlet states: symmetry and net spin
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
µ = m_e/2
F = mv²/r
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
30. Magnetic Dipole Moment and Torque
u dm/dt
? (t-vx/c²)
Asin(?) = m?
µ = Current * Area T = µ x B
31. Atom: Orbital Config
A[B -C] + [A -C]B
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
32. Thermo: Partition Function
Z = ?g_i*exp(-E/kT)
1/vLC
B = µ0 I n
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
33. Thermo: Blackbody Radiation
? = h/p
I = I_cm + md²
?~1/T
F = s * T4
34. Angular momentum operators L^2 and L_z
X_L = X_C or X_total = 0
? (t-vx/c²)
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
Hbar*?³/(p²c³exp(hbar?/t)-1)
35. Bragg'S Law of Reflection
F = -2*m(? x r)
4H + 2e- ? He +2? + 6?
F = f* (c+v_r)/(c+v_s)
M? = 2dsin(?)
36. Energy in terms of partition function
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.
U = t^2 d/dt (logZ)
1/ne - where n is charge carrier density
Always Real
37. Resistance - length - area - rho
A[B -C] + [A -C]B
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
?L/A - L = length - A = cross sectional area - rho is electrical resistivity
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)
38. Magnetic Field Through Ring
Const: 2t = (n +.5)? Destructive 2t = n?
µ0 I / 2R
Dv = -udm/m - v = v0 + u ln(m0/m)
PdV +dU
39. QM: de Broglie Wavelength
?= h/v(2mE)
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
Cos[?] Sin[?] -Sin[?] Cos[?]
? = 5/3
40. Commutator identities ( [B -A C] - [A -B] )
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
?mv
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
41. Focal point of mirrror with curvature
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
<?|O|?>
L = L_0 Sqrt[1-v^2/c^2]
F = R/2
42. EM: AC Resonance
X_L = X_C or X_total = 0
?= h/v(2mE)
V(r) + L²2/2mr²
H = H_0 + ?H
43. Single Slit Diffraction Maximum
J = ? Fdt
Asin(?) = m?
S = k ln[O] ; dS = dQ/T
Dp/dt = L / (t ?V)
44. Heat added
?_max = b/T
M? = 2dsin(?)
NC?T
?s = 0 - ?l = ±1
45. Self Inductance
Braking Radiation
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
V = -L di/dt
46. EM: Bremsstrahlung (translation)
µ0 I / 2pR
I ' = I cos²(?)
F = R/2
Braking Radiation
47. Pauli matrices
?= h/v(2mE)
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
Cv = dE/dT = 3R
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
48. EM: Lorentz Force
I ' = I cos²(?)
I = I_cm + md²
F = qv×B
M? = 2dsin(?)
49. Adiabatic processes (dS - dQ - P and V)
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
DS = 0 - dQ = 0 - P V^? = constant
?~1/T
F = qv×B
50. Helmholtz Free Energy
I = I_cm + md²
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
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.
U - ts = -tlog(Z)
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