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Unformatted text preview: £1111 £1111 Instructor: K. Ingersent PHYSICS DEPARTMENT PHY 2005 Final Exam August 57 1998 Name (print7 last ﬁrst): Signature: (1)
(2)
(3)
(4)
(5) On my honor, I have neither given nor received unauthorized aid on this examination. YOUR TEST NUMBER IS THE 5DIGIT NUMBER AT THE TOP OF EACH PAGE. DIRECTIONS
Code your test number on your green answer sheet (use 76—80 for the 5digit number). Code your name
on your answer sheet. Darken circles completely (errors can occur if too light). Code your student number
on your answer sheet.
Print your name on this sheet and sign it also.
Do all scratch work anywhere on this exam that you like. At the end of the test7 this exam printout is to be turned
in. No credit will be given without both answer sheet and printout with scratch work most questions demand.
Blacken the circle of your intended answer completely, using a number 2 pencil. Do not make any stray
marks or the answer sheet may not read properly.
The answers are rounded off. Choose the closest to exact. There is no penalty for guessing. >>>>>>>>WHEN YOU FINISH <<<<<<<< Hand in the reen answer sheet seoaratel .
Constants: c : 3.0 ><108 m/s M0 : 47v x 10 7 Tm/A 1/(47T60) : 9.0 X 109 NmQ/C2 e : 1.6 X 10’19 C . Two sources emit light waves in phase with one another. The light has a wavelength of 420 nm. At four different locations7 the path differences between the sources are (a) 210 nm7 (b) 840 nm7 (c) 630 nm7 (d) 0 nm. At which of
the four locations do the waves interfere constructively? (1) b and d (2) a and c (3) a and d (4) b and c (5) b . A Young7s double—slit experiment is to be performed using slits of separation 1.30 X 10’6 m. It is desired that the fourth order (n : 4) bright fringes be observable. What is the maximum wavelength of light that can be used to
illuminate the slits? (1) 3.25 ><10’7 m (2) 6.50 ><10’7 m (3) 1.30 x 10*6 m (4) 2.60 x 10*6 m (5) 5.20 ><10’6 m . A diffraction grating having 1,200 lines/cm is illuminated with light of wavelength 350 nm. The light is viewed on a screen 2.5 m beyond the grating. What is the distance on the screen from the central bright spot to the second—order
(n : 2) spot? (1) 21.0 cm (2) 10.5 cm (3) 4.2 cm (4) 1.5 cm (5) 0.2 cm . When viewed from earth7 two distant stars lie along directions separated by an angle of 5.0 X 10’4 degrees. It is desired to view the stars using a telescope with a ﬁlter which only allows through light of wavelength 400 nm. What
must be the minimum diameter of the telescope7s (circular) aperture if the images of the two stars are to be resolved? (1) 5.6 cm (2) 4.6 cm (3) 17.9 m (4) 21.8 m (5) 4.3 mm £1111 51111 5. 10. 11. 12. 13. Light of wavelength 600 nm shines on an oil ﬁlm (refractive index 1.50). When the ﬁlm thickness is 3000 nm, the light
waves reﬂected from the upper and lower surfaces of the ﬁlm interfere destructively. Now the thickness of the ﬁlm is
gradually reduced. At what thickness will constructive interference ﬁrst be observed? (1) 2900 nm (2) 2850 nm (3) 2800 nm (4) 2700 nm (5) 2500 nm . Two identical metal spheres are charged to +50MC and —20/LC, respectively. The spheres are touched together, then separated by a center—to—center distance of 1.9 m. What is the magnitude of the electrostatic force felt by either sphere
due to the other? (1) 0.56 N (2) 1.1 N (3) 2.5 N (4) 4.7 N (5) 2.2 N At the moment that it passes through a small hole in a negatively charged plate, an electron (mass 1.67 X 10’31 kg)
is traveling at 4.0 X 106 m/s. A short time later, it crashes into a positively charged plate. If the potential difference
between the two plates is 25 V, what is the electrons speed just before it hits the second plate? (1) 5.0 X 106 m/s (2) 2.7 X 106 m/s (3) 3.0 X 106 m/s (4) 7.0 ><106 m/s (5) 9.2 X 106 m/s . Refer to Fig. 1. What is the power dissipated in the 4—9 resistor? (1) 1.8 w (2) 9.0 w (3)28 w (4) 1.0 w (5) 2.7 w . An a—particle (mass 6.7 X 10’27 kg, charge +26) is traveling at a speed of 3.0 X 106 m/s perpendicular to a uniform magnetic ﬁeld. If the particle moves in a circle of radius 21 m, what is the strength of the magnetic ﬁeld? (1) 30 gauss (2) 3 gauss (3) 300 gauss (4) 3,000 gauss (5) 30,000 gauss Refer to Fig. 2. A grid of equally spaced lines is painted on a ﬂat surface. Four long straight wires are laid over the
grid, and currents are passed through the wires as shown. (Insulation prevents electrical contact between the wires at
the places where they cross.) At which of the ﬁve locations marked A43 in Fig. 2 is the total magnetic ﬁeld zero? (1) E (2) D (3) C (4) B (5) A A certain loop consists of 15 turns, each having an area of 0.35 m2. When a magnet is moved closer to the loop, the
component of the magnetic ﬁeld perpendicular to the loop increases from 0.03 T to 0.08 T over an interval of 3.5 s.
What is the magnitude of the average emf induced in the loop? (1) 75 mV (2) 5 mV (3) 260 mV (4) 120 mV (5) 45 mV Refer to Fig. 3. A 3.0—9 resistor and a 80—MC capacitor are connected in series to a 15—V rms alternating power supply.
What is the rms current through the resistor when the supply frequency is 1000 HZ? (1) 4.2 A (2) 5.0 A (3) 3.0 A (4) 7.5 A (5) 15 A A 1.80—m—tall man stands upright, 2.0 m in front of a vertical plane mirror. What is the minimum size of the mirror,
top to bottom, if the man is able to see both the top of his head and his feet? (1) 0.90 m (2) 2.00 m (3) 1.80 m (4) 0.75 m (5) 1.50 m £1111 51111 14. The critical angle for light emerging from crown glass into water is 350. If the refractive index of water is 1.337 What
is the refractive index of crown glass? (1) 2.32 (2) 1.74 (3) 1.31 (4) 0.76 (5) 1.62 15. A converging lens has a focal length of magnitude 12.5 cm. The image of a certain object is virtual and is located 9.0
cm from the lens. How far in front of the lens must the object be located? (1) 5.2 cm (2) 32.1 cm (3) 0.19 cm (4) 0.031 cm (5) 3.5 cm Lilli Lilli PHY 2005, Summer 1998: Final Exam 6V 4 ﬂ. 5 Q
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