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. 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

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

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)]