AP B mirrors and lenses websheet 23.2

Transcription

1 Name: Class: _ Date: _ ID: A AP B mirrors ad leses websheet 232 Multiple Choice Idetify the choice that best completes the statemet or aswers the questio 1 The of light ca chage whe light is refracted because the medium chages a frequecy c wavelegth b medium d trasparecy 2 Whe light passes at a agle to the ormal from oe material ito aother material i which its speed is lower, a it is bet toward the ormal to the surface b it always lies alog the ormal to the surface c it is uaffected d it is bet away from the ormal to the surface 3 Whe a light ray moves from air ito glass, which has a higher idex of refractio, its path is a bet toward the ormal c parallel to the ormal b bet away from the ormal d ot bet 4 Whe a light ray passes from zirco ( = 1923) ito fluorite ( = 1434) at a agle of 60, its path is a bet toward the ormal c parallel to the ormal b bet away from the ormal d ot bet 5 A ray of light i air is icidet o a air-to-glass boudary at a agle of exactly 300 with the ormal If the idex of refractio of the glass is 165, what is the agle of the refracted ray withi the glass with respect to the ormal? a 583 c 344 b 373 d What type of image is formed whe rays of light actually itersect? a real c curved b virtual d projected 7 What type of image does a covergig les produce? a real c real or virtual b virtual d oe of the above 8 I what directio does a parallel ray from a object proceed after passig through a divergig les? a The ray passes through the ceter of curvature, C b The ray cotiues parallel to the pricipal axis c The ray passes through the ceter of the les d The ray is directed away from the focal poit, F 9 All of the followig images ca be formed by a covergig les except which oe? a virtual, upright, ad magified c real, iverted, ad magified b real ad poit d real, upright, ad magified 10 All of the followig images ca be formed by a covergig les except which oe? a image at ifiity c real, iverted, ad same size b virtual, iverted, ad same size d real, iverted, ad reduced 11 How may focal poits ad focal legths do covergig ad divergig leses have? a two, oe c oe, oe b oe, two d two, two 1

2 Name: ID: A 12 The focal legth for a covergig les is a always positive b always egative c depedet o the locatio of the object d depedet o the locatio of the image 13 A virtual image has a image distace (q) ad is located i of the les a positive, frot c egative, frot b positive, back d egative, back 14 The focal legth for a divergig les is a always positive b always egative c depedet o the locatio of the object d depedet o the locatio of the image 15 A object is placed 200 cm from a thi covergig les alog the axis of the les If a real image forms behid the les at a distace of 800 cm from the les, what is the focal legth of the les? a 571 cm c 133 cm b 120 cm d 133 cm 16 A object is placed 140 cm from a divergig les If a virtual image appears 100 cm from the les o the same side as the object, what is the focal legth of the les? a 50 cm c 58 cm b 34 cm d 16 cm 17 A film projector produces a 151 m image of a horse o a scree If the projector les is 400 m from the scree ad the size of the horse o the film is 107 cm, what is the magitude of the magificatio of the image? a 141 c 0708 b 141 d A object that is 18 cm from a covergig les forms a real image 225 cm from the les What is the magificatio of the image? a 125 c 080 b 080 d I the diagram of a compoud microscope show above, where would you place the slide? a at O c at F 0 b at I 2 d at I 1 2

3 Name: ID: A 20 Which is ot correct whe describig the formatio of raibows? a A raibow is really spherical i ature b Sulight is spread ito a spectrum whe it eters a spherical raidrop c Sulight is iterally reflected o the back side of a raidrop d All wavelegths refract at the same agle Short Aswer 21 What is the positio ad kid of image produced by the les show above? Draw a ray diagram to support your aswer 22 A studet burs a hole i a pecil with a magifyig les What is the positio ad kid of image produced by the les? Draw a ray diagram to support your aswer 23 What is the positio ad kid of image produced by the les show above? Draw a ray diagram to support your aswer 3

4 Name: ID: A Problem 24 What is the positio ad kid of image produced by the les show above? Draw a ray diagram to support your aswer 25 Uder what coditios is the thi-les equatio applicable for determiig object distace, image distace, ad focal legth? 26 A real image has a() image distace (p) ad is located i of the les 27 A object is placed 400 cm from a covergig les alog the axis of the les If a virtual image forms at a distace of 500 cm from the les o the same side as the object, what is the focal legth of the les? 28 What does a positive magificatio sigify? 29 What does the perceived color of each water droplet i a raibow deped o? 30 A ray of light passes from air ito carbo disulfide ( = 163) at a agle of 280 to the ormal What is the refracted agle? 31 A ray of light passes from air ito cubic zircoia at a agle of 560 to the ormal The agle of refractio is 220 What is the idex of refractio of cubic zircoia? 32 A ray of light passes from air ito ice ( = 1309) at a agle of 460 to the ormal The refracted ray of light the passes from ice ito glycerie ( = 1473) What is the agle of refractio of the ray of light i glycerie? 33 A ray of light passes from air ito carbo disulfide ( = 1628) at a agle of 550 to the ormal The refracted ray of light the passes from carbo disulfide ito water ( = 1333) What is the refracted agle i the water? 34 A covergig les has a focal legth of 100 cm If a virtual image of a object is formed 250 cm i frot of the les, what is the magificatio of the image? Describe the image 35 A cadle that is 100 cm high is placed 300 cm i frot of a divergig les The les has a focal legth of 200 cm What is the height of the image? 36 A ray of light travels across a liquid-to-glass iterface The idex of refractio is 175 for the liquid ad 152 for the glass If the light meets the iterface at a agle of 59, predict whether the light will refract or whether it will udergo total iteral reflectio 4

5 AP B mirrors ad leses websheet 232 Aswer Sectio MULTIPLE CHOICE 1 C 2 A 3 A 4 B 5 D 6 A 7 C 8 D 9 D 10 B 11 A 12 A 13 C 14 B 15 A 16 B 17 A 18 A 19 A 20 D SHORT ANSWER 21 A real, iverted image that is smaller tha the object will form betwee F ad 2F 1

6 22 A real, poit image will form at F 23 A real, iverted image that is the same size as the object will form at 2F 24 A real, iverted image that is larger tha the object will form outside 2F 25 whe the les thickess is much smaller tha the focal legth 26 positive, back 27 Give p = 400 cm q = 500 cm Áq is egative,sice the image is virtual ad i frot of the lesˆ Use the thi-les equatio to fid f 1 f = 1 p + 1 q = cm cm = cm cm = cm f = cm Ápositive focal legth is cosistet with a covergig lesˆ 2

7 28 The image is upright ad virtual 29 The perceived color depeds o the agle at which that drop is viewed PROBLEM Give θ i = 280 i = 100 r = 163 Rearrage Sell s law, i siθ i = r siθ r, ad solve for θ r θ r = si 1 i 1 siθ Á i ˆ = si 100 si 280 r 163 ( ) = Give θ i = 560 θ r = 220 i = 100 Rearrage Sell s law, i siθ i = r siθ r, ad solve for r Ásiθ i ˆ ( si 560 ) r = i = ( 100) Á siθr ˆ ( si 220 ) = 221 3

8 Give θ i = 460 air = 1000 ice = 1309 glycerie = 1473 First, determie the agle of refractio i ice Rearrage Sell s law, i siθ i = r siθ r, ad solve for θ r θ r(ice) = si 1 i siθ Á i ˆ = si 1 air 1 siθ r Á i ˆ = si 1000 si 460 ice 1309 ( ) = 333 Secod,use θ r(ice) as the agle of icidece for the ice-glycerie boudary ad solve for θ r(glycerie) θ r(glycerie) = si Give θ i = 550 air = 1000 i r carbo disulfide = 1628 water = 1333 Ásiθ i ˆ = si 1 ice glycerie Á siθ r(ice) ˆ 1 = si 1309 si ( ) = 292 First, determie the agle of refractio i carbo disulfide Rearrage Sell s law, i siθ i = r siθ r, ad solve for θ r θ r(carbo disulfide) = si 1 i siθ i Á ˆ = si 1 air siθ i r Á ˆ = si si 550 carbo disulfide 1628 ( ) = 302 Secod, use θ r(carbo disulfide) as the agle of icidece for the carbo disulfide-water boudary ad solve for θ r(water) θ r(water) = si 1 i r Á siθ i ˆ = si 1 carbo disulfide Á water siθ r(carbo disulfide) ˆ = si si ( ) = 387 4

9 The image is three ad a half times larger tha the object Sice M is positive, the image is virtual ad upright Give f = 100 cm (sice this is a covergig les,the focal legth is positive) q = 250 cm (sice the image is located i frot of the les,q is egative) First,rearrage the thi-les equatio, 1 p + 1 q = 1 f,to fid p 1 p = 1 f 1 q = cm cm = cm cm = cm p = 714 cm Use the magificatio of a les equatio,m = q,to fid M p M = q = ( 250 cm ) = 350 p ( 714 cm) The image is three ad a half times larger tha the object Sice M is positive, the image is virtual ad upright cm Give h = 100 cm p = 300 cm f = 200 cm (sice this is a divergig les,the focal legth is egative) First,rearrage the thi-les equatio, 1 p + 1 q = 1 f,to fid q 1 q = 1 f 1 p = cm cm = cm cm = cm q = 120 cm Rearrage the magificatio of a les equatio,m = hʹ h = q,ad solve for hʹ p hʹ = qh p ( 120 cm ) 100 cm = ( ) ( 300 cm) = 400 cm 5

10 36 Sice the agle of icidece, 59, is less tha the critical agle, 603, the light ray will refract Give liquid = 175 glass = 152 θ i = 59 Rearrage the critical agle equatio,si θ c = r i,to fid θ c θ c = si 1 Á r i ˆ 1 = si Á glass liquid ˆ = si ˆ Á 175 = 603 Sice the agle of icidece is less tha the critical agle,the light ray will refract 6