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 Momentum
I = Im (sinc²(a)) ; a = pai sin(?) / ?
N²/Z (m_elec/m_red)
?mv
W_A < W_I

2. Magnetic Field Through Ring
<T> = -<V>/2
qvb = mv²/R
Exponentially decreasing radial function
µ0 I / 2R

3. Quant: Eigenvalue of Hermitian Operator
µ = m_e/2
? = h/mv
Always Real
Opposing charge induced upon conductor

4. Poisson distribution (µ and s)
P +1/2 ? v² + ?gh = Constant
Asin(?) = m?
I = I_cm + (1/2)m d^2
µ=s^2

5. Thermo: Monatomic gas ?=?
M? = 2dsin(?)
? = 5/3
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
1/vLC

6. Astro: Kepler'S Third Law
DW/dq
P² ~ R³
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
? exp(-e/t)

7. Hall Coefficient
?? = h/mc * (1-cos(?))
1/ne - where n is charge carrier density
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)

8. Atom: Bohr Theory Ionization
W_A < W_I
PdV +dU
F = R/2
E = Z²*E1

9. Doppler shift for light
F_f = µ*F_N
? = 1.22?/D
? = ?_0 Sqrt[(1+v/c)/(1-v/c)]
.5 LI²

10. Clausius-Clapeyron Equation
Dp/dt = L / (t ?V)
W_A < W_I
I_z = I_x + I_y (think hoop symmetry)
.5 CV²

11. Bohr Model: Radii
N²/Z (m_elec/m_red)
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
P/A = s T^4
Cv = dE/dT = 3R

12. td(entropy) =
PdV +dU
ds² = (c*dt)² - ?(x_i)²
µ0 I / 2pR
?~T

13. De Broigle Wavelength
? = h/mv
I = I_cm + (1/2)m d^2
? = ?0 root((1-v/c)/(1+v/c))
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas

14. Springs in series/parallel
Series: 1/k_eq = 1/k_1 + 1/k_2; Parallel: k_eq = k_1 + k_2
u dm/dt
qvb = mv²/R
µ = m_e/2

15. Gibbs Factor
L = µ N² A / l : N = number of turns - A = cross sectional area -l = length
E = <?| H |?>
I = I_0 Cos[?]^2
Exp(N(µ-e)/t)

16. EM: Parallel Capacitance
DS = 0 - dQ = 0 - P V^? = constant
.5 CV²
C_eq = ?C_i
I = I_0 Cos[?]^2

17. Polarizers - intensity when crossed at ?
? = h/mv
Measurements close to mean
I = I_0 Cos[?]^2
Interference: (m+.5)? = d sin(?) Diffraction: m? = w sin(?)

18. Electromotive Force
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)
F = mv²/r
V = -L di/dt
DW/dq

19. E field of a capacitor (d->0)
?_max = b/T
DS = 0 - dQ = 0 - P V^? = constant
E = s/e_0
F = f* (c+v_r)/(c+v_s)

20. Resistance - length - area - rho
u dm/dt
µ=s^2
A[B -C] = A[B -C]+[B -A]C [A -B] = -[B -A]
?L/A - L = length - A = cross sectional area - rho is electrical resistivity

21. Kepler'S third law (T and R)
?= h/v(2mE)
T^2 = k R^3 - k=constant
P1V1 - P2V2 / (? - 1)
Const: 2t = (n +.5)? Destructive 2t = n?

22. First law of thermodynamics (explain direction of energy for each term)
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
Exponential - E = -ma²/2hbar² - a is strength of delta wellt
F = I L X B
µ0 I / 2R

23. Expectation value of the energy of state |?>
DS = 0 - dQ = 0 - P V^? = constant
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
E = <?| H |?>
1s² - 2s² 2p6 - 3s² 3p6 3d¹°

24. Heat added
DW = P dV
NC?T
Dp/dt = L / (t ?V)
qvb = mv²/R

25. Energy levels from the Coulomb potential
I = V/R exp(-t/RC)
?L/A - L = length - A = cross sectional area - rho is electrical resistivity
E_n = -µ c^2 Z a^2 / (2n^2) - with µ = m_1 m_2 / (m_1 + m_2)
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2

26. Dulong Petit Law
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.
Cv = dE/dT = 3R
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
?mc²

27. Stefan-Boltzmann law for blackbodies (power per area and T)
KE = 1/2 * µ (dr/dt)² L = µ r x v
P/A = s T^4
L^2 |E - scl - m> = hbar^2 scl(scl+1) |E -scl -m> L_z |E - scl - m> = hbar m |E - scl - m>
Int ( A . dr) = Int ( del x A) dSurface

28. Selection rules for atomic transitions
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
Infinitely close to equilibrium at all times
?scl = +/-1;?m = 0 - +/-1;?S_tot = 0;(?j = ?scl + ?S_tot)
(3/2) n R ?t

29. Relativistic Energy
I = I_cm + (1/2)m d^2
?mc²
? = 1.22? / d
L = L_0 Sqrt[1-v^2/c^2]

30. Single Slit Diffraction Intensity
I = Im (sinc²(a)) ; a = pai sin(?) / ?
µ=s^2
DW/dq
P +1/2 ? v² + ?gh = Constant

31. Source-free RC Circuit
I ' = I cos²(?)
CdV/dt + V/R = 0 V(t) = V0 exp(-t/RC) I(t) = I(0) exp(-t/RC)
Measurements close to mean
qvb = mv²/R

32. Compton Scattering
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
E = Vmin : circle - E = 0 : parabola - E<0 : el - E>0 : h
?? = h/mc * (1-cos(?))
?~T

33. Malus Law

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

34. Stoke'S Theorem
P(s) = (1/Z) Exp[-E(s)/(k T)] Z = S_s(Exp[-E(s)/(k T)])
Int ( A . dr) = Int ( del x A) dSurface
J = ? Fdt
u dm/dt

35. EM: SHO (Hooke)
I = -(c ?t)^2 + d^2
ma + kx = 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)
V = V0 + V0 a ?T

36. EM: Electric Field inside of Conductor
H = H_0 + ?H
0
Q = U + W Q = heat in system - U = total energy in system - W = work done by gas
Dp/dt = L / (t ?V)

37. Law of Mass Action
1s² - 2s² 2p6 - 3s² 3p6 3d¹°
P +1/2 ? v² + ?gh = Constant
L = mr²d?/dt
Product ( nj ^ vj ) = Product(nqj ^ vj exp (-vj F(int)/Tau))

38. Center of Mass: Kinetic Energy & Angular Momentum
KE = 1/2 * µ (dr/dt)² L = µ r x v
N²/Z (m_elec/m_red)
F = s * T4
E = <?| H |?>

39. SR: Total Energy of a Particle
T = I?²/2
I = I_cm + (1/2)m d^2
1/vLC
SR: ?=? - ß=? E = ?mc² = v(p²c² + m²c4)

40. Solid: Resistivity of Semi-Conductor
Const: 2t = (n +.5)? Destructive 2t = n?
? = h/mv
?~1/T
Exponential - E = -ma²/2hbar² - a is strength of delta wellt

41. Doppler Shift for light
F = µ0 q v I / 2pr
Hbar*?³/(p²c³exp(hbar?/t)-1)
Q = CVexp(-t/RC)
? = ?0 root((1-v/c)/(1+v/c))

42. Work done on a gas
I = Im (sinc²(a)) ; a = pai sin(?) / ?
? = h/p
DW = P dV
<T> = -<V>/2

43. Energy in Inductor
dU = 0 ? dS = ?dW/T
.5 LI²
1/2 CV²
I = I_cm + md²

44. EM: Bremsstrahlung (translation)
Braking Radiation
?L/A - L = length - A = cross sectional area - rho is electrical resistivity
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
W_A < W_I

45. Time Lorentz Transformation
L = mr²d?/dt
N d flux / dt
<?|O|?>
? (t-vx/c²)

46. Thermo: 1st Law
I = I_cm + md²
dQ = dW +dU
Let w_i = 1/s_i^2;x_wav = S(w_i x_i) / Sw_i - s_xwav = 1/Sw_i
S = k ln[O] ; dS = dQ/T

47. Entropy (# of states - and in terms of other thermo quantities)
S = k ln[O] ; dS = dQ/T
Opposing charge induced upon conductor
Infinitely close to equilibrium at all times
Measurements close to mean

48. Planck Radiation Law
DB = ( µ_0 I/(4Pi) ) dl(cross)rhat/r^2
L = mr²d?/dt
X_L = X_C or X_total = 0
Hbar*?³/(p²c³exp(hbar?/t)-1)

49. Selection Rules
?s = 0 - ?l = ±1
.5 CV²
0
H = T + V;qdot_i = dH/dp_i - pdot_i = dH/dq_i

50. Helmholtz Free Energy
P = µ_0 q^2 a^2/(6Pi c); No radiation along the axis of acceleration
W_A < W_I
Int ( A . dr) = Int ( del x A) dSurface
U - ts = -tlog(Z)