1. Answer the following. a. A beam of vertically polarized light of intensity W/m2 encounters two polarizing filters as shown below.

Transcription

1 1. Answer the followng. a. A beam of vertcally lght of ntensty W/m2 encounters two polarzng flters as shown below. Vertcally ncdent tu-<h (a) C«W A <b) Vert nals ncdent beam 9B B Vertcally ncdent beam (c) case C 4^ ~~ Transmt / beam ted 45, 's LJ Transmtted j beam N^, Transmtted. Calculate the ntensty of the transmtted beam n case A.. Calculate the ntensty of the transmtted beam n case B.. Calculate the ntensty of the transmtted beam n case C. ) j Ik) x-o, b. Un lght of ntensty 230 W/m2 passes through two polarzers. The transmsson axs of the frst polarzer s 20.0 to the vertcal, and the ^,-~ -, 9 transmsson axs of the second polarzer s 72.5 to the vertcal. What s I " ^ the ntensty of the transmtted lght? 2

2 2. Answer the followng. a. A concave mrror produces a vrtual mage that s three tmes as tall as the object. The object s 30 cm n front of the mrror,. Sketch the mage locaton wth a ray dagram. /) _ r 0 ( n- What s the mage dstance?. What s the magnfcaton of the mage?. v. What s the radus of curvature of ths mrror? a v. Is the mage uprght or nverted (explan or show evdence)? H) m~ S b. A small object s located 40.0 cm n front of a convex mrror wth a radus of curvature of 50.0 cm.. Sketch the mage locaton wth a ray dagram.. Use the mrror equaton to fnd the mage dstance.. Is the mage real or vrtual? v. Is the mage uprght or nverted? - t) f "J, 4~ c «

3 Answer the followng. a. An object s located to the left of a convergng lens whose focal length s 36 cm. The magnfcaton produced by the lens s m = l... v. Is the mage real or vrtual? Explan. What s the dstance of the object from the lens? To ncrease the magnfcaton to +4.0, should the object be moved closer to the lens or farther away? Show ths wth a sketch of two ray dagrams on one lens. To ncrease the magnfcaton to +4.0, what should be the new dstance of the object from the lens? u0 ml,l. b. Use ray tracng dagrams to show what happens to the mage formed by a concave (dvergng) lens as an object that s outsde the focal pont s moved away from the lens's surface. Descrbe how the mage sze and dstance from the lens wll change. Draw two ray dagrams wth one lens to show ths.

4 4. Answer the followng. a. The ray of lght shown passes from ar (m = 1) to water (n2 = 1.33) to glass (n3 = 1.5). «1 ft. "2? "l. If the lght enters the water at an angle of ncdence of 40, then what s the refracted angle n the water?. What s the refracted angle n the glass? n. Show that the water can be gnored when calculatng the angle of rf^a-cs-^ + rvr* tr f*!a<"*c 1*1 n*)-*-*^ ^v-*r^c sl-snw th-?t vr«*' fn tuvu ll uc coj>. UlC vvulu, DvJW Ulat ^uu CCU calculate O3 only usng d\, m, and n3. You may do ths algebracally. & l Tl"-9*' ff5 v ' f"rv\6 cm. =. <>4b t b. Lght wth a wavelength of 546 nm passes through two slts and forms an nterference pattern on a screen 8.75 meters away. The lnear dstance on the screen from the central brght frnge to the frst brght frnge above t s. What s the separaton of the slts?. How many frnges (total brght and dark) exst? <f 7 1 ) bark: Mm** -- ft

5 5. Answer the followng. a. Red lght (A = 700 nm) passes through a sngle slt and reaches a screen 1.80 m from the slt. The central brght frnge s 3.90 cm wde on the screen (ths s the dstance from the frst dark frnge above the central brght to the frst y 700r**\k frnge below the central brght). P~l»%OV*. What s the angle to the frst dark frnge above the central brght frnge?. What s the wdth of the slt? X = 3* l & ^ ^ m- What s the dstance along the screen from the central brght frnge to the second dark frnge above? v. If the wdth of the slt s reduced, what wll happen to the central brght frnge? / 9.1 J t) y $)»\9, = m ^, m - - j - c^ C V -J ' ~* I T " b. Two pont sources of lght are separated by 5.0 cm. As vewed through a crcular aperture of dameter 12 mm, what s the maxmum dstance from whch they can be resolved f red lght (X = 700 nm) s used? \ 6