PHY2054 Exam 1 Formula Sheet

Transcription

1 Instucto: Field/Mitselmakhe PHYSICS DPATMNT PHY 54 Final am Apil 3, 6 Name (PINT, last, fist): Signatue: On my hono, I have neithe given no eceived unauthoized aid on this eamination. YOU TST NUMB IS TH 5-DIGIT NUMB AT TH TOP OF ACH PAG. DICTIONS () Code you test numbe on you answe sheet (use 76 8 fo the 5-digit numbe). Code you name on you answe sheet. DAKN CICS COMPTY. Code you student numbe on you answe sheet. () Pint you name on this sheet and sign it also. (3) Do all scatch wok anywhee on this eam that you like. At the end of the test, this eam pintout is to be tuned in. No cedit will be given without both answe sheet and pintout with scatch wok most questions demand. (4) Blacken the cicle of you intended answe completely, using a # pencil o blue o black ink. Do not make any stay maks o the answe sheet may not ead popely. (5) The answes ae ounded off. Choose the closest to eact. Thee is no penalty fo guessing. >>>>>>>>WHN YOU FINISH <<<<<<<< Hand in the answe sheet sepaately. Constants ǫ = 8.85 F/m m e = 9. 3 kg m p = m n =.67 7 kg e =.6 9 C k = N m /C µ =.56 7 H/m N A = 6. 3 atoms/mole c = 3 8 m/s milli = 3 mico = 6 nano = 9 pico =

2 PHY54 am Fomula Sheet ectos & Quadatic Fomula a = a ˆ ayyˆ azzˆ b = bˆ byyˆ bzzˆ Magnitudes: a = a ay az b = b by bz Scala Poduct: a b = ab ab ab = ab cosθ (θ = angle between a and b ) Quadatic Fomula: if b c= lectostatic Foce (vecto): lectic Field (at q due to q): y y z z a then = ( b± b 4ac) /(a) lectostatic Foce and lectic Field qq F = k ˆ ( = distance between chage q and chage q, units = N) k = /(4πε ) = N m /C ε = C /(N m ) q = F / q = k ˆ (units = N/C = /m) d = da lectic Flu (though the infinitesimal suface aea da): (units = Nm /C) ecto Aea (diected aea): A= Anˆ (whee nˆ = nomal to the suface) Gauss aw: Φ = S Q da= A= S enclosed ε Φ (Q enclosed = chage enclosed) Gauss aw: Net flu though closed suface S = the chage enclosed by suface S divided by ε lectic Potential and Potential negy lectic Potential negy: wok done against a constant field in moving chage q a distance d along staight line path fom A to B, U = UB UA = q d (units = J) lectic Potential: Wok done pe unit chage against a constant field in moving chage q a distance d along staight line path fom A to B, = U / q = d (units = J/C = ) lectic Potential (distance fom a point chage q): lectic Potential negy (N point chages): N U = i= N q qi ( ) = k N point chages: ( ) = k Stoed lectic Potential negy (N conductos with chage Q i and electic potential i ): q i i Capacitance (definition): C = Q/ o C = Q/ (units = C/ = F) Paallel Plate Capacito with Dielectic κ: negy Density of the lectic Field: u ε C =κε A/ d = (units = J/m 3 ) lectic Cuent and Cicuits dq Cuent (though diected aea A): I = = nqvdift A (units = C/s = A, n is the numbe of chaged paticles q dt pe unit volume, v dift is the aveage velocity of the chaged paticles). Ohm s aw: = I, = ρ / A (esistance units = /A = Ω) Powe (supplied by MF ε): P = εi Powe (dissipated in esisto ): P = I (units = J/s = W) t /τ C Cicuits (chaging capacito C though esisto with MF ε): Qt ( ) = εc( e ) C Cicuits (dischaging capacito C with initial chage Q though esisto ): C Cicuits (time constant):τ = C (units = Ω F = s), U Qt ( ) = Qe = i= whee i is the electic potential at q i due to the othe chages t /τ N i= i Q i i

3 PHY54 am Fomula Sheet ectos a = a ˆ a yˆ y azzˆ b = bˆ byyˆ bzzˆ Coss Poduct Magbitude: a b = ab sinθab c = a b = ( ab ab ) ˆ ( ab ab ) yˆ ( ab ab ) zˆ Coss Poduct ecto: F y z z y z z lectomagnetic Foce = F F = q qv B F = q F = qv B lectmagnetic Foce (vecto): M B B ( = distance between chage Q and chage q, v = velocity of chage q, = velocity of chage Q) F Qq = k ˆ (units = N) F B Qq = k v c ˆ y y (units = N) k = /(4πε ) N m /C ε C /(N m ) k B = k/c =µ /(4π) -7 Tm/A µ 4π -7 Tm/A c 3 8 m/s (speed of light) lectic and Magnetic Field (due to Q): Magnetic Field (due to cuent I in length dl of wie): negy Density (lectic & Magnetic Field): Q Q = k ˆ (N/C = /m) B= k ˆ B I db= kb dl ˆ u ε ub = B µ F B = I B (units = N) µ = NIA (units = A m ) A= Anˆ Toque: τ =µ B Magnetic Foce (on a long staight wie caying cuent I): Magnetic Dipole Moment: Ampee s aw: B B dl = B l= µ C C Infinite Staight Wie: BI pep I enclosed (N/(C m/s) = T) (units = N/(C m/s) = T) = (units = J/m 3 ) (closed loop) Magnetic Field (amples) B = k / Cente of a Cicula Cuent oop: lectomagnetic Induction, Cicuits, C Cicuits, AC Cicuits Φ = B A= BAcosθ B A Magnetic Flu (unifom B, suface A): B = dφ Faaday s aw of Induction: ε = B (ε = induced emf, units = ) dt d cos( ωt) ate of Change with Time: = ω sin( ωt) dt di Inducto (inductance units = H): = (potential diffeence) dt Cicuits (time constant):τ = / (units = H/Ω = s) Cicuits (MF ε, esisto, Inducto, swich closed at t = ): I( t) Oscillating C Cicuit (no esistance): pep B units = Tm = Wb U = I = ε ( e t /τ (units = N m) B = π kb I / (stoed enegy) ) / = Q / C I (stoed enegy) ω= / C U tot Oscillating C Cicuit (no esistance): f = ω/π (fequency of oscillations in Hz) AC Cicuit Impedance (ε(t) = εmasin(ωtφ), X =, X = ω, XC = /ωc): Z = ε AC Cicuit Maimum Cuent & Aveage Powe: ma Ima = Pave = Imaε max / Z Z AC Cicuit MS Cuent & oltage: I ms = I ma / ε ms =ε ma / X ( X X ) C

4 ick s ectues: Speed in acuum: Closed Cuve PHY54 Final am Fomula Sheet Ampee s aw (complete) dφ B dl = µ Ienclosed µ ε Tetbook: B l= µ Ienclosed µ ε dt (, t) = B(, t) = B ma ma Wavelength in Medium: λ n = n Poynting ecto: S = B, µ Intensity: Closed Cuve lectomagnetic Plane Wave sin( k ωt) yˆ sin( k ωt) zˆ (, t) = cb(, t) Φ t ω c c= = fλ = Speed in Medium (n = inde of efaction): v n = < c k µ ε n λ (λ = Wavelength in acuum, n = inde of efaction) S = S = B= = µ µ c P powe P powe ms cbms cb I = S = = = = = (units = W/m ) A µ c µ µ c µ A (units = W/m ) Intensity Tansmitted by a Poloize: I = I (andom) I = I cos θ (polaized) elativistic Dopple Shift (f = fequency at est with souce, λ = wavelength at est with souce, fλ = c) β β λ away = λ f away = f β = / c β β Souce Moving Away fom Obseve: Souce Moving Towad the Obseve: Snell s aw: λ towad = β β = λ f towad = f β / c β β ( = elative velocity) ( = elative velocity) eflection & efaction n sinθ = n sinθ Total Intenal eflection in Medium (): sin c =n / n tanθ B =n n Bewste s Angle in Medium (): Mios & Thin ens Spheical Mios ( = adius of cuvatue): f = / Object and Image Position (mios & thin lens): = f p q q Magnification (mios & thin lens): m=, h = m h p eflection in Medium off Medium : (phase shift n > n ) (lateal shift n > n ) Maimal Constuctive: (phase shift) Maimal Destuctive: (phase shift) ) / θ (n < n ) eflection & Intefeence φ = π (phase shift n < n ) φ = l = φ / k = λ / (lateal shift n < n ) l= φ = πm (lateal shift) l=mλ m=, ±, ±, φ = π ( m (lateal shift) l= ( m ) λ m=, ±, ±, Wavelength (in m): λ Wavenumbe (in m - ): k = π/λ Angula Fequence (in ad/s): ω = πf Fequency (in Hz): f Peiod (in s): T = /f f = focal length (> concave, < conve) p = objct distance q = image distance (> eal, < vitual) h = object height h' = image height m = magnification (> upight, < inveted) Intensity: (ma constuctive) I = I I II (ma destuctive) I = I I II Single-Slit Minima: d sinθ = mλ esolving Powe (lens diamete D: θ.λ / D Double-Slit (and gating): (ma constuctive) d sin θ = mλ (ma destuctive) d sinθ = ( m ) λ

5 . Thee point paticles lie on the. Chage Q is at = d, chage Q is at = d, and chage Q 3 is at = d, as shown in the figue. If Q = q and Q = q, and if the net electic field fom the thee chages is zeo at the oigin (i.e., = y = ), what is Q 3? y-ais Q Q Q 3 d d d () 4q () 8q (3) 4q (4) 8q (5) q. Thee point paticles lie on the. Chage Q is at = d, chage Q is at = d, and chage Q 3 is at = d, as shown in the figue. If Q = q and Q = 3q, and if the net electic field fom the thee chages is zeo at the oigin (i.e., = y = ), what is Q 3? y-ais Q Q Q 3 d d d () 8q () 4q (3) 4q (4) 8q (5) q 3. Thee point paticles lie on the. Chage Q is at = d, chage Q is at = d, and chage Q 3 is at = d, as shown in the figue. If Q = q and Q = q, and if the net electic field fom the thee chages is zeo at the oigin (i.e., = y = ), what is Q 3? y-ais Q Q Q 3 d d d () 4q () 4q (3) 8q (4) 8q (5) q 4. Conside a cube of sides = m as shown in the figue, and suppose that a non-unifom electic field is pesent and is given by (,y) = aˆ byŷ, whee a = 4 /m and b = /m ae constants. The -component of the electic field is y (y) = by. What is the net electic chage (in nanoc) contained within the cube? O y-ais z-ais ().4 ().83 (3) 4.5 (4) 5.67 (5) Conside a cube of sides = m as shown in the figue, and suppose that a non-unifom electic field is pesent and is given by (,y) = aˆ byŷ, whee a = 6 /m and b = /m ae constants. The -component of the electic field is y (y) = by. What is the net electic chage (in nanoc) contained within the cube? O y-ais z-ais ().83 ().4 (3) 4.5 (4) 5.67 (5) Conside a cube of sides = m as shown in the figue, and suppose that a non-unifom electic field is pesent and is given by (,y) = aˆ byŷ, whee a = 8 /m and b = /m ae constants. The -component of the electic field is y (y) = by. What is the net electic chage (in nanoc) contained within the cube? O y-ais z-ais () 4.5 ().4 (3).83 (4) 5.67 (5) 7.8

6 7. How much electic enegy (in micoj) is stoed by a solid spheical conducto with a chage of nc and a adius of. m? () 4.8 () 49.8 (3).4 (4) 8.9 (5) How much electic enegy (in micoj) is stoed by a solid spheical conducto with a chage of nc and a adius of.3 m? () 49.8 () 4.8 (3).4 (4) 8.9 (5) How much electic enegy (in micoj) is stoed by a solid spheical conducto with a chage of nc and a adius of.4 m? ().4 () 4.8 (3) 49.8 (4) 8.9 (5) A positively chaged paticle with a chage to mass atio q/m =. C/kg is taveling to the ight along the. At = it entes an ideal paallel plate capacito though a small hole with speed = 8 m/s as shown in the figue. The plates of the capacito have aea A = m and lie in the y-z plane. The plate at = caies chage Q and the plate at = d caies chage Q. If Q = 8.85µC and d = 5 cm, what is the speed (in m/s) of the paticle when it eits the capacito though the small hole at = d? y-ais -Q Q d () 5. (). (3) 4.9 (4).4 (5) 6.3. A positively chaged paticle with a chage to mass atio q/m =. C/kg is taveling to the ight along the. At = it entes an ideal paallel plate capacito though a small hole with speed = 8 m/s as shown in the figue. The plates of the capacito have aea A = m and lie in the y-z plane. The plate at = caies chage Q and the plate at = d caies chage Q. If Q = 8.85µC and d = 5 cm, what is the speed (in m/s) of the paticle when it eits the capacito though the small hole at = d? y-ais -Q Q d (). () 5. (3) 4.9 (4).4 (5) 6.3. A positively chaged paticle with a chage to mass atio q/m =.3 C/kg is taveling to the ight along the. At = it entes an ideal paallel plate capacito though a small hole with speed = 8 m/s as shown in the figue. The plates of the capacito have aea A = m and lie in the y-z plane. The plate at = caies chage Q and the plate at = d caies chage Q. If Q = 8.85µC and d = 5 cm, what is the speed (in m/s) of the paticle when it eits the capacito though the small hole at = d? y-ais -Q Q d () 4.9 () 5. (3). (4).4 (5) An electon (chage e =.6 9 C) is undegoing unifom cicula motion with a adius = 8 m and constant angula velocity. How many evolutions pe second must the electon undego in ode to poduce a magnetic field at the cente of the cicle with a magnitude of.8µt? ().59 () 3.8 (3) 4.77 (4) 8.45 (5) 6.89

7 An electon (chage e =.6 9 C) is undegoing unifom cicula motion with a adius = 8 m and constant angula velocity. How many evolutions pe second must the electon undego in ode to poduce a magnetic field at the cente of the cicle with a magnitude of.6µt? () 3.8 ().59 (3) 4.77 (4) 8.45 (5) An electon (chage e =.6 9 C) is undegoing unifom cicula motion with a adius = 8 m and constant angula velocity. How many evolutions pe second must the electon undego in ode to poduce a magnetic field at the cente of the cicle with a magnitude of.4µt? () 4.77 ().59 (3) 3.8 (4) 8.45 (5) At time t = a chaged paticle with speed v and a chage to mass atio of.5 C/kg entes a egion though a slit and tavels pependicula to a unifom magnetic field (pointing out of the page) as shown in the figue. If the paticle hits the bottom wall a distance d fom the slit at t = 3.4 s, what is the magnitude of the magnetic field (in T)? B-out v d (). ().5 (3). (4). (5). 7. At time t = a chaged paticle with speed v and a chage to mass atio of. C/kg entes a egion though a slit and tavels pependicula to a unifom magnetic field (pointing out of the page) as shown in the figue. If the paticle hits the bottom wall a distance d fom the slit at t = 3.4 s, what is the magnitude of the magnetic field (in T)? B-out v d ().5 (). (3). (4). (5). 8. At time t = a chaged paticle with speed v and a chage to mass atio of 5. C/kg entes a egion though a slit and tavels pependicula to a unifom magnetic field (pointing out of the page) as shown in the figue. If the paticle hits the bottom wall a distance d fom the slit at t = 3.4 s, what is the magnitude of the magnetic field (in T)? B-out v d (). (). (3).5 (4). (5). 9. Conside the cicuit shown in the figue. Initially the inducto has no magnetic stoed enegy and the switch is closed at t =. Immediately afte the switch is closed the cuent though the Ω esisto is I shot and a long time afte the switch is closed (i.e., steady state) the cuent is I long. If I long = 4I shot, what is the esistance (in Ω)? () 6 () (3) 4 (4) 4 (5) ε Ω. Conside the cicuit shown in the figue. Initially the inducto has no magnetic stoed enegy and the switch is closed at t =. Immediately afte the switch is closed the cuent though the Ω esisto is I shot and a long time afte the switch is closed (i.e., steady state) the cuent is I long. If I long = 6I shot, what is the esistance (in Ω)? () () 6 (3) 4 (4) 4 (5) ε Ω

8 . Conside the cicuit shown in the figue. Initially the inducto has no magnetic stoed enegy and the switch is closed at t =. Immediately afte the switch is closed the cuent though the Ω esisto is I shot and a long time afte the switch is closed (i.e., steady state) the cuent is I long. If I long = 8I shot, what is the esistance (in Ω)? () 4 () 6 (3) (4) 4 (5) ε Ω. Conside an oscillating C cicuit consisting of a capacito with C = mf, no esistance, and an unknown inducto as shown in the figue. If the fequency of the oscillations is.383 Hz and the maimum cuent duing the oscillations is.4 A, what is the stoed magnetic enegy (in J) in the inducto when the stoed electgic enegy in the capacito is J? C Q I () 8 () 7 (3) 6 (4) 5 (5) 3. Conside an oscillating C cicuit consisting of a capacito with C = mf, no esistance, and an unknown inducto as shown in the figue. If the fequency of the oscillations is.383 Hz and the maimum cuent duing the oscillations is.4 A, what is the stoed magnetic enegy (in J) in the inducto when the stoed electgic enegy in the capacito is 3 J? C Q I () 7 () 8 (3) 6 (4) 5 (5) 4. Conside an oscillating C cicuit consisting of a capacito with C = mf, no esistance, and an unknown inducto as shown in the figue. If the fequency of the oscillations is.383 Hz and the maimum cuent duing the oscillations is.4 A, what is the stoed magnetic enegy (in J) in the inducto when the stoed electgic enegy in the capacito is 4 J? C Q I () 6 () 8 (3) 7 (4) 5 (5) 5. Two Q point chages and two Q point chages ae placed at the cones of a squae with sides of length as shown in the figue. If Q = 6. nc and =.5 m, what is the electic potential diffeence = (in ) between the point P on the side of the squae at the midpoint of the line between the two positive chages and the point P at the cente of the squae? Q Q P P Q Q () 477 () 636 (3) 795 (4) 3 (5) What is the electic potential enegy (in µj) of the chage configuation in the pevious poblem? ().83 () 3.5 (3) 5.9 (4).83 (5) Two Q point chages and two Q point chages ae placed at the cones of a squae with sides of length as shown in the figue. If Q = 8. nc and =.5 m, what is the electic potential diffeence = (in ) between the point P on the side of the squae at the midpoint of the line between the two positive chages and the point P at the cente of the squae? Q Q P P Q Q () 636 () 477 (3) 795 (4) 3 (5) 897

9 8. What is the electic potential enegy (in µj) of the chage configuation in the pevious poblem? () 3.5 ().83 (3) 5.9 (4).83 (5) Two Q point chages and two Q point chages ae placed at the cones of a squae with sides of length as shown in the figue. If Q =. nc and =.5 m, what is the electic potential diffeence = (in ) between the point P on the side of the squae at the midpoint of the line between the two positive chages and the point P at the cente of the squae? Q Q P P Q Q () 795 () 477 (3) 636 (4) 3 (5) What is the electic potential enegy (in µj) of the chage configuation in the pevious poblem? () 5.9 ().83 (3) 5.9 (4).83 (5) A unifom electic field pointing out of the page, as shown in the figue, is confined to a cicula egion of adius = 3 m and vaies with time accoding to (t) = bt, whee b is a constant (i.e., it vaies linealy with time). If b = 3 /(m s), what is the magnitude of the induced magnetic field (in pt) at the point P at = 3 m fom the cente at time t = 5 s? -out P ().5 (). (3).5 (4). (5) A unifom electic field pointing out of the page, as shown in the figue, is confined to a cicula egion of adius = 6 m and vaies with time accoding to (t) = bt, whee b is a constant (i.e., it vaies linealy with time). If b = 3 /(m s), what is the magnitude of the induced magnetic field (in pt) at the point P at = 6 m fom the cente at time t = 5 s? -out P (). ().5 (3).5 (4). (5) A unifom electic field pointing out of the page, as shown in the figue, is confined to a cicula egion of adius = 9 m and vaies with time accoding to (t) = bt, whee b is a constant (i.e., it vaies linealy with time). If b = 3 /(m s), what is the magnitude of the induced magnetic field (in pt) at the point P at = 9 m fom the cente at time t = 5 s? -out P ().5 ().5 (3). (4). (5) A solid conducting sphee with oute adius has a a spheical hole at its cente with adius. At the cente of the hole thee is a point chage of Q = 5 nc, as shown in the figue. If thee is no net chage on the conducto and =. m, what is the magnitude of the electic field (in /m) at the oute suface of the conducto? Q () 8.9 () 4.9 (3) 7. (4) zeo (5),3.8

10 35. A solid conducting sphee with oute adius has a a spheical hole at its cente with adius. At the cente of the hole thee is a point chage of Q = 5 nc, as shown in the figue. If thee is no net chage on the conducto and =.3 m, what is the magnitude of the electic field (in /m) at the oute suface of the conducto? Q () 4.9 () 8.9 (3) 7. (4) zeo (5) A solid conducting sphee with oute adius has a a spheical hole at its cente with adius. At the cente of the hole thee is a point chage of Q = 5 nc, as shown in the figue. If thee is no net chage on the conducto and =.4 m, what is the magnitude of the electic field (in /m) at the oute suface of the conducto? Q () 7. () 8.9 (3) 4.9 (4) zeo (5), Conside the cicuit consisting of two MF s and two esistos shown in the figue. If ǫ =, ǫ = 3, and =, what is the atio of cuent I (though esisto ) to cuent I (though esisto )? Namely, what is I /I? I I ε ε () 6 () 4 (3) (4) 3 (5) Conside the cicuit consisting of two MF s and two esistos shown in the figue. If ǫ =, ǫ = 4, and =, what is the atio of cuent I (though esisto ) to cuent I (though esisto )? Namely, what is I /I? I I ε ε () 4 () 6 (3) (4) 3 (5) Conside the cicuit consisting of two MF s and two esistos shown in the figue. If ǫ =, ǫ = 6, and =, what is the atio of cuent I (though esisto ) to cuent I (though esisto )? Namely, what is I /I? I I ε ε () () 6 (3) 4 (4) 3 (5) 5 4. Conside two equally chaged conducting sphees. Sphee # has a adius of and chage Q and sphee # has adius and chage Q. Initially the two sphees ae isolated (i.e., they ae a lage distance apat, ) and the total stoed enegy of the system is 9 J. The two conducting sphees ae then connected by a long thin wie and afte the system comes to equilibium, the wie is emoved. What is the new total stoed enegy of the system (in J)? Conducting sphee # Conducting sphee # () 8 () 6 (3) 4 (4) 4 (5) 9

11 4. Conside two equally chaged conducting sphees. Sphee # has a adius of and chage Q and sphee # has adius and chage Q. Initially the two sphees ae isolated (i.e., they ae a lage distance apat, ) and the total stoed enegy of the system is 8 J. The two conducting sphees ae then connected by a long thin wie and afte the system comes to equilibium, the wie is emoved. What is the new total stoed enegy of the system (in J)? Conducting sphee # Conducting sphee # () 6 () 8 (3) 4 (4) 4 (5) 9 4. Conside two equally chaged conducting sphees. Sphee # has a adius of and chage Q and sphee # has adius and chage Q. Initially the two sphees ae isolated (i.e., they ae a lage distance apat, ) and the total stoed enegy of the system is 7 J. The two conducting sphees ae then connected by a long thin wie and afte the system comes to equilibium, the wie is emoved. What is the new total stoed enegy of the system (in J)? Conducting sphee # Conducting sphee # () 4 () 8 (3) 6 (4) 4 (5) Two ockets A and B ae both tavelling in the diection at the same constant speed of and both emit adio waves at a est fequency of MHz to communicate with an obseve O at est on the as shown in the figue. If obseve O must tune his adio to 8 MHz in ode to get a clea signal fom the ocket A, what is the speed of ocket A (in m/s)? ocket A Obseve O at est ocket B ().65 8 ().8 8 (3) (4).95 8 (5) In the pevious poblem, what is the fequency that obseve O must tune his adio in ode to get a clea signal fom ocket B? () 5 MHz () MHz (3) 45 MHz (4) 5 MHz (5) 55 MHz 45. Two ockets A and B ae both tavelling in the diection at the same constant speed of and both emit adio waves at a est fequency of 4 MHz to communicate with an obseve O at est on the as shown in the figue. If obseve O must tune his adio to 8 MHz in ode to get a clea signal fom the ocket A, what is the speed of ocket A (in m/s)? ocket A Obseve O at est ocket B ().8 8 ().65 8 (3) (4).95 8 (5) In the pevious poblem, what is the fequency that obseve O must tune his adio in ode to get a clea signal fom ocket B? () MHz () 5 MHz (3) 45 MHz (4) 5 MHz (5) 55 MHz 47. Two ockets A and B ae both tavelling in the diection at the same constant speed of and both emit adio waves at a est fequency of 6 MHz to communicate with an obseve O at est on the as shown in the figue. If obseve O must tune his adio to 8 MHz in ode to get a clea signal fom the ocket A, what is the speed of ocket A (in m/s)? ocket A Obseve O at est ocket B () ().65 8 (3).8 8 (4).95 8 (5).65 7

12 48. In the pevious poblem, what is the fequency that obseve O must tune his adio in ode to get a clea signal fom ocket B? () 45 MHz () 5 MHz (3) MHz (4) 5 MHz (5) 55 MHz 49. The adiation powe P of the sun is W. If the intensity of the sun on the suface of a ocket ship that is eploing oute space is.69 kw/m, how fa is the ocket fom the sun? (). m ().6 m (3) 8.66 m (4).5 m (5) 4.6 m 5. The adiation powe P of the sun is W. If the intensity of the sun on the suface of a ocket ship that is eploing oute space is.76 kw/m, how fa is the ocket fom the sun? ().6 m (). m (3) 8.66 m (4).5 m (5) 4.6 m 5. The adiation powe P of the sun is W. If the intensity of the sun on the suface of a ocket ship that is eploing oute space is 4.4 kw/m, how fa is the ocket fom the sun? () 8.66 m (). m (3).6 m (4).5 m (5) 4.6 m 5. The optical system shown in the figue consists of two conveging lenses with equal focal lengths f = f = cm. A luminous object with a height h is placed cm in font of the fist lens. The second lens can slide along the pinciple ais and is located a vaiable distance fom the fist lens. At what value of (in cm) will the optical system poduce an inveted final oveall image with a height of h? Is the final image eal o vitual? ().5, vitual () 3.5, eal (3) 5., eal (4).5, eal (5) 3.5, vitual Object h ens f = cm cm ens f = cm 53. The optical system shown in the figue consists of two conveging lenses with equal focal lengths f = f = cm. A luminous object with a height h is placed cm in font of the fist lens. The second lens can slide along the pinciple ais and is located a vaiable distance fom the fist lens. At what value of(in cm) will the optical system poducean upightfinal oveallimage with a height of h? Is the final image eal o vitual? () 3.5, eal ().5, vitual (3) 5., eal (4).5, eal (5) 3.5, vitual Object h ens f = cm cm ens f = cm

13 54. The optical system shown in the figue consists of two conveging lenses with equal focal lengths f = f = cm. A luminous object with a height h is placed cm in font of the fist lens. The second lens can slide along the pinciple ais and is located a vaiable distance fom the fist lens. At what value of(in cm) will the optical system poducean upightfinal oveallimage with a height of h/? Is the final image eal o vitual? () 5., eal ().5, vitual (3) 3.5, eal (4).5, eal (5) 5., vitual Object h ens f = cm cm ens f = cm 55. Obseves A and B ae on opposite sides of a flat glass plate with thickness T and efactive inde n glass =.5 as shown in the figue. Obseve A is in the ai (n ai = ) and obseve B is unde wate (n wate =.33). The light is incident fom the left and obseve A sees the light that is eflected off the glass and obseve B sees the light that passes though the glass. What is the minimum thickness T of the glass plate (in nm) such that obseve A on the left sees maimum constuctive intefeence fo violet light with a vacuum wavelength of λ violet = 3 nm? Incident ight violet A n ai = n glass T violet B n wate =.33 () 5 () 3 (3) 5 (4) (5) In the pevious poblem, what is the minimum thickness T of the glass plate (in nm) such that obseve B on the ight sees maimum constuctive intefeence fo violet light with a vacuum wavelength of λ violet = 3 nm? () () 6 (3) 5 (4) 4 (5) Obseves A and B ae on opposite sides of a flat glass plate with thickness T and efactive inde n glass =.5 as shown in the figue. Obseve A is in the ai (n ai = ) and obseve B is unde wate (n wate =.33). The light is incident fom the left and obseve A sees the light that is eflected off the glass and obseve B sees the light that passes though the glass. What is the minimum thickness T of the glass plate (in nm) such that obseve A on the left sees maimum constuctive intefeence fo violet light with a vacuum wavelength of λ violet = 3 nm? Incident ight violet A n ai = n glass T violet B n wate =.33 () 3 () 5 (3) 5 (4) (5) In the pevious poblem, what is the minimum thickness T of the glass plate (in nm) such that obseve B on the ight sees maimum constuctive intefeence fo violet light with a vacuum wavelength of λ violet = 3 nm? () 6 () (3) 5 (4) 4 (5) Obseves A and B ae on opposite sides of a flat glass plate with thickness T and efactive inde n glass = 3. as shown in the figue. Obseve A is in the ai (n ai = ) and obseve B is unde wate (n wate =.33). The light is incident fom the left and obseve A sees the light that is eflected off the glass and obseve B sees the light that passes though the glass. What is the minimum thickness T of the glass plate (in nm) such that obseve A on the left sees maimum constuctive intefeence fo violet light with a vacuum wavelength of λ violet = 3 nm? Incident ight violet A n ai = n glass T violet B n wate =.33 () 5 () 5 (3) 3 (4) (5) 6

14 6. In the pevious poblem, what is the minimum thickness T of the glass plate (in nm) such that obseve B on the ight sees maimum constuctive intefeence fo violet light with a vacuum wavelength of λ violet = 3 nm? () 5 () (3) 6 (4) 4 (5) 5 TH FOOWING QUSTIONS, NUMBD IN TH OD OF THI APPAANC ON TH ABO IST, HA BN FAGGD AS CONTINUATION QUSTIONS: FOOWING GOUPS OF QUSTIONS WI B SCTD AS ON GOUP FOM ACH TYP TYP Q# S Q# S Q# S 3 TYP Q# S 4 Q# S 5 Q# S 6 TYP 3 Q# S 7 Q# S 8 Q# S 9 TYP 4 Q# S Q# S Q# S TYP 5 Q# S 3 Q# S 4 Q# S 5 TYP 6 Q# S 6 Q# S 7 Q# S 8 TYP 7 Q# S 9 Q# S Q# S TYP 8 Q# S Q# S 3 Q# S 4 TYP 9 Q# S 5 6 Q# S 7 8 Q# S 9 3 TYP Q# S 3 Q# S 3 Q# S 33 TYP Q# S 34 Q# S 35 Q# S 36 TYP Q# S 37 Q# S 38 Q# S 39 TYP 3 Q# S 4 Q# S 4 Q# S 4 TYP 4 Q# S Q# S Q# S TYP 5 Q# S 49 Q# S 5 Q# S 5 TYP 6

15 Q# S 5 Q# S 53 Q# S 54 TYP 7 Q# S Q# S Q# S 59 6