Physics 102 Notes c

Physics 102 Notes c - COM ED4 11. P - PR EM Physics 102...

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Unformatted text preview: COM ED4 11. P - PR EM Physics 102 FORM 0 ED4 11. COM [l] Two charges, Qi and Q 2 ) are separated by a certain distance R. If the magnitudes of the charges are doubled, and their separation is also doubled, then what happens to the electrical force between these charges? it remains the same [B] It is doubled [C] It is halved It is quadrupled [E] It decreases by a factor of 4 11. COM - PR EM t ED4 11. COM - PR EM ED4 [2] The electric potential at x = 2.00 m is +400 V, and at z = 10.0 m is -2000 V. What is the magnitude and direction of the electric field? [A] 200 V/m in the -z direction ([B))300 V/m in the +x direction [C] 400 V/m in the +x direction [D] 600 V/m in the -z direction [E] 800 V/m in the +x direction - PR EM i ED4 11. COM [3] The potential difference between the plates of a parallel plate capacitor is 40 V, and the electric field between the plates has a s trength of 800 V /m. If the plate area is 0.020 m 2 , what is the capacitance of this capacitor? [A] 5.7 x 10~14 F [B] 5.3 x 1Q-13 F /[CJ)3.5 x 10~12 F [D] 9.1 x lO"11 F - PR EM [E] 2.1 x 10-9 F ^-^ - PR EM ED4 11. COM [4] The length of a certain wire is doubled while the radius is halved. What is the change in the resistance of this wire? [A] It stays the same. [B] It is reduced by a f actor of 2. It is increased by a f actor of 4. [D] It is reduced by a factor of 6. It is increased by a f actor of 8. 11. COM § - PR EM ED4 [5] A 5.0 /zF capacitor is connected in series with a 3.0 kfl resistor across a 20-V DC source and an open switch. If the switch is closed at t = 0.0 s, what is the charge on the capacitor at t = 12 ms? 0C [B] 37% of the maximum charge [C] 45% of the maximum charge 55% of the maximum charge [E] 67% of the maximum charge MPRE M ED4 11. COM § MPRE MED 411 .CO [6] A policeman pulls you over for running a red (A = 700 nm) light. You claim before the judge t hat, before you s topped, the light appeared green (A = 550 nm). How fast would you need to be moving toward the light for this to be true? Assume that the nonrelativistic expression on the formulae sheet is still valid. [A] 0.12c fli])0.27c [C] 0.39c [D] 0.52c [E] 0.78c PRE MED 411 .CO MPRE MED 411 .CO MPRE MED 411 .CO MPRE MED 411 .CO [7] Arrange the following forms of electromagnetic radiation in order of I NCREASING energy _per photon. ([A} radio, microwaves, infrared, visible, x-rays, gamma rays [B] radio, microwaves, infrared, visible, g amma rays, x-rays [C] microwaves, radio, infrared, visible, x-rays, g amma rays [D] radio, microwaves, visible, infrared, x-rays, gamma rays [E] gamma rays, x-rays, visible, infrared, radio, microwaves OM D41 1.C P - PR EME Physics 102 FORM 0 - PR EME D41 1.C OM [8] If you separately measure -Erms and Biras of an electromagnetic wave, how can these two quantities be combined to form a q uantity that is proportional to the average intensity? [A] ETjas/Btms [B] |£rms + Bims [C] (JSnn-B™,)1/2 (S) EimsBims OM \2 D41 1.C OM - PR EME D41 1.C [9] If the object distance (£)) equals the image distance, and if t hey are b oth in front of a particular spherical mirror, what is its radius, is the mirror convex or concave, and is the image upright or inverted? [A] 2/13, convex, upright [B] -D/2, convex, upright [C] - D/2, concave, inverted [D] D, concave, upright (|EpZ), concave, inverted - PR EME D4 11. COM - PR EME [10] In water, a red light (A = 656 nm) has an index of refraction of 1.331, a green light (A = 486 nm) has an index of refraction of 1.337, and a blue light (A = 397 nm) has an index of refraction of 1.344. Imagine shining each of these lights from the b ottom of a pool at some angle 9 from the vertical. Which of the following angles results in total internal reflection for two of the three lights? „_ [A] 48.00° [B] 48.20° [C] 48.40° f[D])48.600 [E] 48.80° - PR EME D4 11. COM [11] At what angle above the horizon would the sun have to be such t hat the rays that reflect off the ocean water (n=1.33) are maximally blocked by polarized sunglasses? [B] 41° [C] 45° [D] 49° [E] 53° - PR EM ED4 11. COM [12] A helium-neon laser (A = 633 nm) illuminates a pair of slits with a separation of 4.0 X 10~5 m. What is the angle to the third dark fringe above the central bright fringe? [A] 0.5° [B] 0.9° [C] 1.4° @)2.3° [E] 2.8° - PR EM ED4 11. COM [13] Sometimes the glass (n = 1.5) in eyeglasses is coated with an antireflection coating (n = 1.3) t hat produces destructive interference between the waves reflecting from the glass and the waves reflecting from the antireflection coating. What is the thickness of this layer such t hat yellow light (500 nm) at normal incidence is not reflected. [A] 83 nm @)96 nm [C] 125 nm [D] 192 nm [E] 250 nm 11. COM - PR EM ED4 11. COM [14] A particle initially at rest splits into two particles. The first particle has a mass mi and travels at a speed of u j = c /2. The second particle has a mass 7712 = rai/2. What is the speed of the second particle? [A] (S/?)1/^ ( Ji)(4/7) 1 / 2 c [C] ( 3/4) 1 / 2 c [D] the reaction is not allowed [E] not enough information is given - PR EM ED4 [15] The kinetic energy of a particle is equal to twice its rest energy. What is the particle's velocity? [B] (l/S)1/^ COM [A] ( l/Q) 1 /^ [C] (l/2}l/2c [D] (3/4Y/2c PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. [16] In a hydrogen atom, the electron makes a transition from the n — 8 to the n = 3 state. What is the wavelength of the emitted photon? [A] 3.1 x 10~Y m @9.6 x 10~7 m [C] 1.1 x 10~6 m [D] 3.3 x 10~6 m 6 [E] 4.5 X 10' m OM D41 1.C P - PR EME Physics 102 FORM 0 OM - PR EME D41 1.C OM [17] An electron in a hydrogen atom is described by the quantum numbers: n = 8 and mt — 4. What are the possible values for the orbital quantum numbers tl [A] only 0 or 4 [B] only 4 or 7 [C] only 5 or 8 /[5) only 4, 5, 6 or 7 [E] only 5, 6, 7 or 8 OM - PR EME D41 1.C [18] Which one of the following is the correct ground state electronic configuration of the magnesium atom (Z = 12)? [A] Is22s22p2 [B] I s 2 2s 2 2p 6 f [cjls 2 2.s 2 2p 6 3s 2 [D] Is22s22P63s23p2 22 62 6 [E] Is 2s 2p 3s 3p ^ - PR EME D41 1.C [19] A nucleus with a diameter of 7.2 fm has a mass number of [A] 3 [B] 6 rfc)27 [D] 133 [E] 216 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM [20] Carbon-14 has a half-life of 5730 years. A sample of wood has been recovered by an archaeologist. The sample is sent to a laboratory, where it is determined that the activity of the sample is 0.167 Bq/g. By comparing this activity with the activity of living organic matter, 0.230 Bq/g, the scientist determines how old the wood sample is, or more precisely, when the tree t hat the sample came from died. How old is the sample of wood? JA)2650 years [B] 3870 years [C] 4250 years [D] 4590 years 5730 years OM D41 1.C P - PR EME Physics 102 FORM 0 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM [21] Consider the long, straight, current-carrying wires shown in the figure. One wire carries current Ii = 8.0 A in the positive x direction, and the other wire carries current /2 — 4.0 A in the positive y direction. Points A and B are at distances d = 16 cm from the two wires, as shown in the figure. Let z be a unit vector pointing in the positive z direction, thus out of the plane shown in the figure. (a) Calculate the contributions B^/i) and B B(/I) of the current Jj to the magnetic field vector at points A and 5, respectively. (b) Calculate the contributions B^J^) and B B^) of the current I2 to the magnetic field vector at points A and B, respectively. (c) Calculate the net magnetic field vectors B^ and B# at points A and I?, respectively. (d) How will your results in (a) and (c) change if the direction of the current Ij is reversed? 16 on B OM D41 1.C P FORM 0 - PR EME Physics 102 OM - PR EME D41 1.C OM - PR EME D41 1.C OM [22] A copper wire of length 1.0 meter has a cross sectional area of 1.0 mm2 and a resistivity of 1.68 x 10~8 fi-rn. The wire is formed into a circular loop and the loop is placed into a 2.0 T magnetic field t hat is perpendicular to the area of the loop. (a) If the orientation of the loop with respect to the magnetic field is changed from perpendicular to parallel in 2.0 seconds, find the magnitude of the average induced emf. (b) Determine the average induced current. (c) What is the corresponding dissipated power? D41 1.C . An l.O'T. (a) - PR EME 1 JM c-~ II / J7 <-*wjV " __ / . 10 .J.M'\,V |/ :- - •^ „ ED4 - PR EM COM 0>)I = ? L A 1 \ ™"» 11. 1=4 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 ~" MED — If 11. >v. PRE ~ COM f. - PR EME D4 11. COM - PR EME D4 11. COM }0 u> = 03? OM - PR EME D41 1.C P FORMO 1.C OM Physics 102 - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 [23] Compute the energy (in Joules!) of the photon in each of the following cases: (a) the photon emitted at the peak frequency of a 20,000 K blackbody; (b) the photon that strikes an aluminum target (with a work function of 4.28 eV) and produces a photoelectron with maximal kinetic energy of 9.0 eV; (c) the photon that Compton scatters off an electron at an angle of 120° with respect to the incident photon when the incident photon has a frequency of 4.6 X 1018 Hz; (d) the photon produced as a result of the annihilation of an electron and a positron; assume the electron and positron are initially at rest, and that two photons are produced in the annihilation process. t- w. --> PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM v r^ -f OM 1.C P FORM 0 - PR EME D41 Physics 102 OM - PR EME D41 1.C OM - PR EME D41 1.C OM [24] A typical fission reaction in a nuclear plant is: +J n Ba Kr + x \n + Q, where the atomic masses are: m^l^U] = 235.043925 u, m^fjBa) = 140.914406 u, m(|jKr) — 91.926153 u, r n(Jn) = 1.008665 u, and z is some number of neutrons. (a) F indz. (b) Calculate the energy produced, Q, in MeV units. (c) Calculate the mass (in kg units) of 2|f U consumed each year by a 50.0 Megawatts power plant operating (on the basis of the above reaction) at 50% efficiency of conversion of heat to electricity (1 yr = 3.15 X 107 sec). = 11. COM o - PR EME D41 1.C ToVU PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 (i**«xc v l oV •*• -=• 3 OM D41 1.C P FORM 0 - PR EME Physics 102 - PR EME D41 1.C OM FORMULAE SHEET I 1.C OM e = 1.60 x Kr19<7, me = 9.11 x KT31^ = 0.511MeF/c2, k = 8.99 x lQgNm*/C* lkWh = 3.6 x 106J, e0 = — = 8.85 x W12C2/Nm2 D41 leV = 1.60 x 1(T19 J, COM v-Va 1 v n- - T= yfi J ~""' 11. Q FFnc = AJf + AC7, - ~ "" ~ = 7- r- UE = ' F=— "' ' " - PR EME D4 11. COM T' A F = -EAs, - PR EME PFE - go-Ed = -g0AF, go - PR EME D4 V = —, D41 1.C OM - PR EME 47TK 2 ED4 mv = qvB, F = HBsmQ, (long)' - PR EM ED4 11. COM - PR EM qvBsind, ^'P, £ = -" COM (T ' ^/^O 11. ED4 - w <), - T r /J,0 = 4?r x 10~7 27rd £ = vBt, ' (coil) £ = NABusinut, ' A T• ''p :== k = -^, Tm (solenoid) u = 2-Tr/ = -^ _/. T/~ = ~ r~» 'p -'s E = cB, _ 5r J? L == r nis'rms? I J' •'rms = ^ => V2 _L R ' rms c - —= = 3.00 x 108m/s, =: ^-F \ /2 A/=c PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM O sin(^z: ^ —r v - / • n r = NIABsin@, AJ Af' 11. == i .-At- ED4 ^B - PR EM ' COM ~~n Z I = —,<~~r v -/ • n K. 11. COM q = C£[l - exp (-t/r)}, 2 -2 / OM D41 1.C P FORM 0 - PR EME Physics 102 f di 2 h0 „ t an #„ = — , TI-L - PR EME sin PC = — i ni ^vac n V—— f — = -7- + -7- , f h h d sin0 = (m + 1 /2)A, m = 0 , l , 2 . . . , (double slit, dark) - PR EME D41 1.C OM , m = 0, 1,2 . . . , (double slit, grating, bright) , n d0 2 D41 sin P! = ra2 sin 02 j c 1.C OM d0 - PR EME D41 1.C OM FORMULAE SHEET II (resolution) 11. COM (single slit, dark) Afp / bright \ Uark J - PR EME D4 n 1 <n<n 2 or nl>n>n2\ m < n > n 2 or m > n < n 2 J /--—-^ ^a6 + f fee - vac = —-— y/l-'U2/C2 , ? / ? - PR EME D4 11. COM v*t? /dark ^ V brightJ , . - o , COM y 1 — f 2 /c 2 11. /i - 6.626 x 1(T34 J 5 = 4.135 x l(T15ey 3 = 1240eV nm ED4 c 27T - PR EM Xl-\ = \c(i-cosB), ATmax = ^ / - W 0 , Ac = — = 2.426 pm, m.ec E = / i/ AdB = p - PR EM ED4 11. hf = hf' + K, , n = — = 1.054 x 10~34 J 5 C ^ = 5.88 x lO10*"1^"1, COM A p r - 2.898 x 1 0- 3 m-#, p = - = ^, c A 0 COM K=— , 2 dsin^ = m A, A p z Ax > -, AEAi > -, r - 273.15 K = Tc = ^(Tp - 32°) 2m 2 2 9 h2 Z2 ke2 a0 = -— - = 0.0529 nm, En = -E0 — , E0 = -— = 13.6 eV - PR EM ED4 11. nft n2 rn= - = ao^r, mevn Z - a = 0 ,1,. . . , n - 1; m/ = 0 ,±1,...,±^; ms - ± - 11. COM - PR EM ED4 11. COM 2 PRE MED 411 .CO MPRE M ED4 11. COM Ai - PR EM ED4 , 1 « = 1.6605 x 10~27fcs = 931.5 MeV/c2, = XN, N = N0exp(-Xt), X= Ti2 , f= X NA = 6.022 x l n , 1 Ci = 3.70 x R ...
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