Test your basic knowledge |

GRE 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. Relativistic Energy
? = h/mv
v(mean)
?mc²
J/(ne) n: atom density

2. EM: Electric Field inside of Conductor
µ = Current * Area T = µ x B
E = Z²*E1
A[B -C] + [A -C]B
0

3. Malus Law

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

4. Energy in terms of partition function
DW/dq
Exp(N(µ-e)/t)
U = t^2 d/dt (logZ)
.5 LI²

5. Atom: Orbital Config
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
N²/Z (m_elec/m_red)
µ=s^2
? exp(-e/t)

6. Quant: [L_x -L_y] = ?
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.
IR + Ldi/dt = 0 - I = I0e(-tL/R) Work = 1/2 L I0^2
ih_barL_z
1s² - 2s² 2p6 - 3s² 3p6 3d¹°

7. Angular momentum - Central Force Motion
?~1/T
S = k ln[O] ; dS = dQ/T
X_C = 1/(i?C)
L = mr²d?/dt

8. Inductance of Solenoid
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
V(r) + L²2/2mr²
J = ? Fdt
µ0 I / 2R

9. Bohr Model: Energy
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
X_L = i?L
Z_c = -i/(?C) ; Z_L = i ? L
Z²/n² (m_red/m_elec)

10. Time Lorentz Transformation
H = H_0 + ?H
? (t-vx/c²)
4H + 2e- ? He +2? + 6?
M? = 2dsin(?)

11. Force/length between two wires
µ0 I1I2 / (2pd)
? = h/p
µ = Current * Area T = µ x B
N d flux / dt

12. EM: Method of Images
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
Opposing charge induced upon conductor
I = -(c ?t)^2 + d^2

13. Relativistic interval (which must remain constant for two events)
I = -(c ?t)^2 + d^2
µ0 I / 2pR
N²/Z (m_elec/m_red)
C = 4pe0 ab/(a-b) = inner and outer radii

14. Magnetic Field of a long solenoid
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
M? = 2dsin(?)
B = µ0 I n
F = R/2

15. Doppler Shift in Frequency
µ = Current * Area T = µ x B
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
F = f* (c+v_r)/(c+v_s)
PdV +dU

16. First law of thermodynamics (explain direction of energy for each term)
NC?T
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
J = ? Fdt
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)

17. Atom: Hydrogen Wave Function Type
? exp(-e/t)
F = I L X B
I = I_cm + md²
Exponentially decreasing radial function

18. Dulong Petit Law
Int ( A . dr) = Int ( del x A) dSurface
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
Cv = dE/dT = 3R
Asin(?) = m?

19. td(entropy) =
Sin(?) = ?/d
PdV +dU
dU = 0 ? dS = ?dW/T
(° of Freedom)kT/2

20. Solid: Resistivity of Metal
S_mean = s/Sqrt[N]
dQ = dW +dU
?~T
Int ( A . dr) = Int ( del x A) dSurface

21. A reversible process stays..
J = ? Fdt
Infinitely close to equilibrium at all times
<T> = 1/2 * <dV/dx>
Asin(?) = m?

22. EM: AC Resonance
Cos[?] Sin[?] -Sin[?] Cos[?]
X_L = X_C or X_total = 0
L = L_0 Sqrt[1-v^2/c^2]
? = 1.22? / d

23. Selection rules for atomic transitions
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
C = 4pe0 ab/(a-b) = inner and outer radii
B = µ0 I n
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)

24. Rocket Equation
?~1/T
µ0 I / 2R
Dv = -udm/m - v = v0 + u ln(m0/m)
U - ts = -tlog(Z)

25. Adiabatic processes (dS - dQ - P and V)
DS = 0 - dQ = 0 - P V^? = constant
Int ( A . dr) = Int ( del x A) dSurface
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
E²-p²c²

26. Thin Film Theory: Constructive / Destructive Interference
Braking Radiation
Cos[?] Sin[?] -Sin[?] Cos[?]
Const: 2t = (n +.5)? Destructive 2t = n?
µ = m_e/2

27. Mech: Virial Theorem
N²/Z (m_elec/m_red)
<T> = -<V>/2
C = 4pe0 ab/(a-b) = inner and outer radii
(3/2) n R ?t

28. Effective Potential
Const: 2t = (n +.5)? Destructive 2t = n?
I = I_cm + (1/2)m d^2
X_L = i?L
V(r) + L²2/2mr²

29. Induced EMF of solenoid
Ct²-x²-y²-z²
T = I?²/2
µ = Current * Area T = µ x B
N d flux / dt

30. Rocket Thrust
u dm/dt
I = I_0 Cos[?]^2
µ0 I1I2 / (2pd)
P² ~ R³

31. EM: Maxwell'S equations
Q = CVexp(-t/RC)
Measurements close to mean
L = L_0 Sqrt[1-v^2/c^2]
div(E) = ?/e_0 - curl(E) = der(B)/der(t) - div(B) = 0 - curl(B) = µ_0J + µ_0e_0*der(E)/der(t)

32. Lab: Standard Deviation of Poisson
C = 4pe0 ab/(a-b) = inner and outer radii
? = 1.22?/D
v(mean)
F = qv×B

33. 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
1/f = (n-1)(1/R1 - 1/R2) if both positive - they are convex - concave
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
Sin(?) = ?/d

34. EM: Parallel Capacitance
C_eq = ?C_i
P +1/2 ? v² + ?gh = Constant
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
J/(ne) n: atom density

35. Selection Rules
L = T - V dL/dq = d/dt dL/dqdot
?s = 0 - ?l = ±1
KE = 1/2 * µ (dr/dt)² L = µ r x v
Z = ?g_i*exp(-E/kT)

36. EM: Electromagnetic inertia
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
Faraday/Lenz: current inducted opposes the changing field
C = 4pe0 ab/(a-b) = inner and outer radii
I = I_cm + md²

37. Force exerted on charge by long wire
qvb = mv²/R
<?1|?2> = 0 ? Orthogonal
0
F = µ0 q v I / 2pr

38. Single Slit Diffraction Maximum
I = V/R exp(-t/RC)
P² ~ R³
D/dt (.5*r^2 d?/dt) = 0 - r(?) = a(1-e²)/(1+ecos(?)) - T²aA³
Asin(?) = m?

39. EM: Reactance of Capacitor
X_C = 1/(i?C)
? exp(-e/t)
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
µ0 I / 2pR

40. Lagrangian and Lagrange'S equation
Const: 2t = (n +.5)? Destructive 2t = n?
I_z = I_x + I_y (think hoop symmetry)
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 = T - V dL/dq = d/dt dL/dqdot

41. Focal point of mirrror with curvature
<?1|?2> = 0 ? Orthogonal
E = Z²*E1
ds² = (c*dt)² - ?(x_i)²
F = R/2

42. Single Slit Diffraction Intensity
I = Im (sinc²(a)) ; a = pai sin(?) / ?
E = <?| H |?>
N²/Z (m_elec/m_red)
Hbar*?³/(p²c³exp(hbar?/t)-1)

43. Resonance frequency of LC circuit
Exponentially decreasing radial function
1/vLC
Dv = -udm/m - v = v0 + u ln(m0/m)
Measurements close to true value

44. How to derive cylcotron frequency
Always Real
V = V0 + V0 a ?T
Z_c = -i/(?C) ; Z_L = i ? L
qvb = mv²/R

45. Invariant spatial quantity
Z_C + Z_L = 0. Occurs when ?=1/Sqrt[L C]
Ct²-x²-y²-z²
B = µ0 I (sin(?1)-sin(?2))/(4pr) r = distance from point
Measurements close to mean

46. Rayleigh criterion
Exponentially decreasing radial function
? = 1.22? / d
F = f* (c+v_r)/(c+v_s)
Int ( A . dr) = Int ( del x A) dSurface

47. Commutator identities ( [B -A C] - [A -B] )
T^2 = k R^3 - k=constant
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i
? = 5/3

48. EM: Reactance of Inductor
X_L = i?L
?? = h/mc * (1-cos(?))
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)
E = Z²*E1

49. SR: Spacetime Interval
S = k ln[O] ; dS = dQ/T
ds² = (c*dt)² - ?(x_i)²
U - ts = -tlog(Z)
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)

50. Hall Coefficient
1/ne - where n is charge carrier density
Measurements close to true value
H = H_0 + ?H
I = -(c ?t)^2 + d^2