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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. Work (P - V)
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
I = V/R exp(-t/RC)
P1V1 - P2V2 / (? - 1)
1/ne - where n is charge carrier density
2. Error in the mean if each measurement has the same uncertainty s
?= h/v(2mE)
F = I L X B
U = t^2 d/dt (logZ)
S_mean = s/Sqrt[N]
3. EM: Lorentz Force
qvb = mv²/R
H = H_0 + ?H
F = qv×B
Sin(?) = ?/d
4. Clausius-Clapeyron Equation
F = I L X B
V = -L di/dt
Dp/dt = L / (t ?V)
E²-p²c²
5. Angular momentum - Central Force Motion
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
? (t-vx/c²)
L = mr²d?/dt
6. Atom: Hydrogen Wave Function Type
Exponentially decreasing radial function
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
? = h/p
7. Current in resistor in RC circuit
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
(3/2) n R ?t
<T> = 1/2 * <dV/dx>
I = V/R exp(-t/RC)
8. Mech: Force of Friction
F_f = µ*F_N
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
ds² = (c*dt)² - ?(x_i)²
E ~ (1/(n_f)² - 1/(n_i)²) ~ 1/?
9. Rocket Thrust
I = Im (sinc²(a)) ; a = pai sin(?) / ?
u dm/dt
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
10. Partition Function
Measurements close to true value
µ = m_e/2
? exp(-e/t)
? = ?0 root((1-v/c)/(1+v/c))
11. Force on a wire in magnetic field
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
Dv = -udm/m - v = v0 + u ln(m0/m)
I = -(c ?t)^2 + d^2
F = I L X B
12. De Broglie wavelength
N d flux / dt
? = h/p
Infinitely close to equilibrium at all times
B = µ0 I n
13. Lab: Precision of Measurements
Measurements close to mean
Braking Radiation
P +1/2 ? v² + ?gh = Constant
µ=s^2
14. Wein'S displacement law for blackbodies (? and T)
<?1|?2> = 0 ? Orthogonal
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
dQ = dW +dU
?_max = b/T
15. A reversible process stays..
Z = ?g_i*exp(-E/kT)
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
Infinitely close to equilibrium at all times
Measurements close to true value
16. Force/length between two wires
Infinitely close to equilibrium at all times
ma + kx = 0
T^2 = k R^3 - k=constant
µ0 I1I2 / (2pd)
17. Focal point of mirrror with curvature
F = R/2
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
Const: 2t = (n +.5)? Destructive 2t = n?
DW = P dV
18. Atom: Bohr Theory Ionization
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
H = H_0 + ?H
E = Z²*E1
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
19. Resistance - length - area - rho
?L/A - L = length - A = cross sectional area - rho is electrical resistivity
P² ~ R³
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))
A[B -C] + [A -C]B
20. Thermo: Monatomic gas ?=?
I = I_cm + md²
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
? = 1.22? / d
? = 5/3
21. EM: Method of Images
DW = P dV
µ=s^2
Opposing charge induced upon conductor
L = T - V dL/dq = d/dt dL/dqdot
22. SR: Total Energy of a Particle
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)
S = k ln[O] ; dS = dQ/T
E = <?| H |?>
<T> = -<V>/2
23. Atom: Orbital Config
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
1/ne - where n is charge carrier density
Z = ?g_i*exp(-E/kT)
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
24. Quant: Orthogonality of States
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
V(r) + L²2/2mr²
I = I_cm + (1/2)m d^2
<?1|?2> = 0 ? Orthogonal
25. Mech: Impulse
S_mean = s/Sqrt[N]
µ0 I1I2 / (2pd)
µ0 I / 2R
J = ? Fdt
26. Ohm'S Law w/ current density
J = E s - s = Conductivity - E = Electric field
C_eq = ?C_i
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)
27. Lab: Standard Deviation of Poisson
v(mean)
DS = 0 - dQ = 0 - P V^? = constant
I = V/R exp(-t/RC)
S_mean = s/Sqrt[N]
28. Radiation (Larmor - and another neat fact)
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
?mc²
E = s/e_0
C_eq = (? 1/C_i)^-1
29. Induced EMF of solenoid
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
?~1/T
N d flux / dt
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)
30. Invariant spatial quantity
Ct²-x²-y²-z²
W_A < W_I
v(mean)
µ = Current * Area T = µ x B
31. Energy levels from the Coulomb potential
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
Z = ?g_i*exp(-E/kT)
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
32. Astro: p-p Chain
4H + 2e- ? He +2? + 6?
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.
NC?T
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
33. Doppler Shift in Frequency
F = mv²/r
F = f* (c+v_r)/(c+v_s)
Opposing charge induced upon conductor
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
34. Doppler Shift for light
Ct²-x²-y²-z²
? = ?0 root((1-v/c)/(1+v/c))
? = h/mv
Z_c = -i/(?C) ; Z_L = i ? L
35. E field of a capacitor (d->0)
1/2 CV²
V(r) + L²2/2mr²
?= h/v(2mE)
E = s/e_0
36. EM: Electromagnetic inertia
I = I_cm + md²
P² ~ R³
E = <?| H |?>
Faraday/Lenz: current inducted opposes the changing field
37. EM: Reactance of Inductor
X_L = i?L
Measurements close to true value
F_f = µ*F_N
F = qv×B
38. Rayleigh'S Criterion
Exponentially decreasing radial function
Always Real
(3/2) n R ?t
Sin(?) = ?/d
39. Energy in a Capacitor
I = V/R exp(-t/RC)
.5 CV²
L = T - V dL/dq = d/dt dL/dqdot
Z²/n² (m_red/m_elec)
40. Thermo: Average Total Energy
Infinitely close to equilibrium at all times
?max = 2.898 x 10 -³ / T
F = mv²/r
(° of Freedom)kT/2
41. Compton Scattering
<T> = -<V>/2
Isentropic
?? = h/mc * (1-cos(?))
Dv = -udm/m - v = v0 + u ln(m0/m)
42. Stefan-Boltzmann law for blackbodies (power per area and T)
? = 1.22?/D
P/A = s T^4
E = <?| H |?>
Faraday/Lenz: current inducted opposes the changing field
43. Angular momentum operators L^2 and L_z
µ = Current * Area T = µ x B
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
0
DW = P dV
44. Lab: Accuracy of Measurements
Cv = dE/dT = 3R
?_max = b/T
PdV +dU
Measurements close to true value
45. Doppler shift for light
L = L_0 Sqrt[1-v^2/c^2]
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
H = H_0 + ?H
46. Double Slit: Interference Minimum - Diffraction Minimum
u dm/dt
Asin(?) = m?
F = s * T4
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)
47. Resonance frequency of LC circuit
?_max = b/T
1/vLC
µ0 I / 2R
North to south; Earth has S magnetic pole at the N geographic pole and vice versa.
48. Dulong Petit Law
P +1/2 ? v² + ?gh = Constant
Cv = dE/dT = 3R
W_A < W_I
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
49. Triplet/singlet states: symmetry and net spin
µ = Current * Area T = µ x B
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.
Triplet: symmetric - net spin 1 Singlet: antisymmetric - net spin 0
F = f* (c+v_r)/(c+v_s)
50. Coriolis Force
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
L = mr²d?/dt
N²/Z (m_elec/m_red)
F = -2*m(? x r)