AP PHYSICS B 2008 SCORING GUIDELINES
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1 AP PHYSICS B 2008 SCORING GUIDELINES General Notes About 2008 AP Physcs Scorng Gudelnes 1. The solutons contan the most common method of solvng the free-response questons and the allocaton of ponts for ths soluton. Some also contan a common alternate soluton. Other methods of soluton also receve approprate credt for correct work. 2. Generally, double penalty for errors s avoded. For example, f an ncorrect answer to part (a) s correctly substtuted nto an otherwse correct soluton to part (b), full credt wll usually be awarded. One excepton to ths may be cases when the numercal answer to a later part should be easly recognzed as wrong, e.g., a speed faster than the speed of lght n vacuum. 3. Implct statements of concepts normally receve credt. For example, f use of the equaton expressng a partcular concept s worth, and a student s soluton contans the applcaton of that equaton to the problem but the student does not wrte the basc equaton, the pont s stll awarded. However, when students are asked to derve an expresson t s normally expected that they wll begn by wrtng one or more fundamental equatons, such as those gven on the AP Physcs exam equaton sheet. For a descrpton of the use of such terms as derve and calculate on the exams, and what s expected for each, see The Free-Response Sectons Student Presentaton n the AP Physcs Course Descrpton The scorng gudelnes typcally show numercal results usng the value g = 9.8 m s, but use of 2 10 m s s of course also acceptable. Solutons usually show numercal answers usng both values when they are sgnfcantly dfferent. 5. Strct rules regardng sgnfcant dgts are usually not appled to numercal answers. However, n some cases answers contanng too many dgts may be penalzed. In general, two to four sgnfcant dgts are acceptable. Numercal answers that dffer from the publshed answer due to dfferences n roundng throughout the queston typcally receve full credt. Exceptons to these gudelnes usually occur when roundng makes a dfference n obtanng a reasonable answer. For example, suppose a soluton requres subtractng two numbers that should have fve sgnfcant fgures and that dffer startng wth the fourth dgt (e.g., and ). Roundng to three dgts wll lose the accuracy requred to determne the dfference n the numbers, and some credt may be lost The College Board. All rghts reserved.
2 AP PHYSICS B 2008 SCORING GUIDELINES Queston 6 10 ponts total Dstrbuton of ponts (a) 3 ponts For a correct ray, correctly drawn (must reflect off mrror and must extend below prncpal axs) For a second correct ray, correctly drawn (must reflect off mrror and must extend below prncpal axs) For an nverted mage located to the rght of C and at the locaton where the rays converge (b) 2 ponts For correctly ndcatng that the mage s real For a correct justfcaton wth no ncorrect statements Examples of correct responses nclude: Image s nverted. Image s on the same sde of the mrror as the object ( 0) s >. Lght from the object passes through the mage pont. Rays converge at the mage. Image could be projected on a screen. Object s placed beyond the focal pont of a convergng mrror. (c) 2 ponts For a correct mrror equaton and at least one step toward a correct soluton =, leadng to 1 = 1-1, for example s s f s f s o Substtutng nto the second equaton above = - = = 6.0 cm 8.0 cm 48 cm 48 cm s o For a correct calculaton wth correct unts, consstent wth substtutons made s = 24 cm 2008 The College Board. All rghts reserved.
3 AP PHYSICS B 2008 SCORING GUIDELINES (d) 3 ponts Queston 6 (contnued) Dstrbuton of ponts For correctly ndcatng that the mage s smaller than the object For a correct justfcaton 2 ponts Numercal justfcaton: = - s f s o = - = - = -6.0 cm 8.0 cm 48 cm 48 cm s s =- 3.4 cm s -3.4 cm M =- =- = 0.43 s 8.0 cm o Qualtatve justfcatons: Dvergng mrrors always form an mage that s smaller than the object. s s and so h < h. The student must prove the nequalty wth < o o calculatons or a dagram. Ray dagram justfcaton: The ray dagram must contan at least two correct rays that show reflecton and correctly show the mage uprght and smaller than the object, between the focal pont and the mrror. The student must specfcally ndcate that hs/her ray dagram s the justfcaton to earn any ponts for t. An ncomplete but not ncorrect justfcaton earns The College Board. All rghts reserved.
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10 AP PHYSICS B 2008 SCORING COMMENTARY Queston 6 Overvew The ntent of ths queston was to test student understandng of the propertes of reflecton by askng them to draw a dagram. The queston examned whether students know the dfference between a real and a vrtual mage, and whether they know how mages are formed. It also tested whether students are able to calculate the poston of an mage. Sample: B6A Score: 10 Full credt was awarded for part (a), whch shows two correctly drawn rays and a correctly drawn mage. Full credt was also awarded for parts (b) and (c). The correct choce s selected n part (d) and s justfed both n words and through reference to the ray dagram, so full credt was awarded. Sample: B6B Score: 5 Only was awarded for part (a), for the correctly drawn ray that passes through F and reflects parallel to the prncpal axs. Full credt was awarded for the correct choce and vald justfcaton n part (b). Full credt was also awarded for a correct calculaton n part (c). The choce selected for part (d) s ncorrect, so no credt was gven for ths part. Sample: B6C Score: 3 Only was awarded for part (a), for the ray that passes through F and s reflected parallel to the prncpal axs. An ncorrect choce s selected n part (b), so no credt was awarded. Part (c) receved full credt. The choce selected n part (d) s ncorrect, so no credt was gven for that part The College Board. All rghts reserved.
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