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1 New Zealand Institute of Physics ASSESSMENT SCHEDULE Physics Level 2 91170 Demonstrate understanding of waves Note: Minor computational errors will not be penalised. A wrong answer will be accepted as correct provided there is sufficient evidence that the mistake is not due to a lack of understanding. Such evidence includes: the last written step before the answer is given has no unexpanded brackets or terms and does not require rearranging. the power of any number that is multiplied by a power of 10 is correct. Correct units and significant figures are required only in the questions that specifically ask for them. 91170 • Demonstrate understanding of waves • Assessment Schedule 2013 2 Evidence Statement Question One (a) Evidence See appendix. (b) Convex mirrors produce diminished, upright images in order to achieve the wider field of view. (c) See appendix. Calculates di=+/- 5 m Question (b) Evidence Merit Reflected rays have approximately equal angles of incidence and reflection. Wider field of view OR smaller images. Draws one correct reflected ray. (d) Two (a) Achievement Achievement See appendix. One correct ray. The image is virtual because the light rays are not converging at the image, or the image cannot be shown on a screen or the image is produced on the same side of the lens as the object. Virtual stated. (c) Correct answer. (d) Uses positive di to find a value for do. Wider field of view AND idea that as a consequence of a smaller image a wider field of view is produced. Correct ray diagram with two or more rays and image shown. One mistake made, e.g. used positive di, or did not invert 1/f. Merit Excellence Correct working and answer. Excellence ONE correct focal point and TWO correct rays. Virtual plus reason – either the light rays are diverging, or do not converge at the image, or the image cannot be shown on a screen or image is on same side as object. Correct do OR Correct working but uses positive di. Distance between object and image 91170 • Demonstrate understanding of waves • Assessment Schedule 2013 Correct working and answer. 3 Question Three (a) Evidence Distance travelled by light Achievement Merit Calculates total distance travelled by light. Correct working and answer. Correct frequency. Correct period. Excellence Distance from earth to moon (b) (c) See appendix. (d) The violet laser light has a shorter wavelength than the red laser light. Shorter wavelengths do not diffract as much as longer wavelengths, so the band of light on the screen will not be as wide. (e) See appendix for diagram. Two circular waves come out of the two slits and the two waves interfere. Where two crests or two troughs meet there is constructive interference, producing a wave with high amplitude, meaning a bright spot. This bright spot is called an antinode/maximum. Between the antinodes there are nodes/minima, where crests and troughs meet, causing destructive interference, causing a wave with small or no amplitude, causing the dark spots. Allow explanation in terms of path difference and/or phase between waves incident at the same place, i.e. at antinodes: integer difference in path difference/in phase; at nodes: path difference of ½ wavelength/out of phase Diffracted waves are approximately circular, with a similar wavelength to the incident waves. Allow part of diffracted waves to be straight line if in line with opening. Band will not be as wide. Diagram showing overlapping circular waves. OR Positions of constructive interference produce bright light, positions of destructive interference produce no/dim light. OR constructive interference occurs when crests and crests overlap, and troughs and troughs overlap, and destructive interference occurs when crests and troughs overlap. Band will not be as wide since shorter wavelengths do not diffract as much as longer wavelengths. Diagram showing overlapping waves AND ONE of (Positions of constructive interference produce bright light, positions of destructive interference produce no/dim light. OR constructive interference occurs when crests and crests overlap, and troughs and troughs overlap, and destructive interference occurs when crests and troughs overlap.) 91170 • Demonstrate understanding of waves • Assessment Schedule 2013 Diagram showing overlapping waves and antinodal lines marked. Clear link between crests/troughs to constructive/d estructive interference to amplitude to brightness. 4 Question Evidence Achievement Merit Excellence Waves going into glass have a smaller wavelength and direction shows bending towards the normal. OR Waves going into water have a longer wavelength than in glass, and direction shows bending away from the normal. Complete and correct diagram including both wavelength and wave direction in both media. Correct working and answer. Four (a) (b) See appendix. (c) Total internal reflection occurs when light is going from a medium with higher refractive index/lower wave speed towards a medium with lower refractive index/higher wave speed, and the angle of incidence is greater than the critical angle for the two materials. Waves going into glass have a smaller wavelength. OR Direction of wave is shown to bend towards the normal going into glass. OR Waves going into the water have a larger wavelength than in glass OR Bending away from the normal going into water. Light is going from a medium with higher refractive index / low wave speed towards a medium with low refractive index/high wave speed OR The angle of incidence is greater than the critical angle for the two materials. Selects the correct formula, but has a minor error in rearranging, or reverses n1 and n2. OR Correct indication o that θc is 90 . (d) Light is going from a medium with higher refractive index / low wave speed towards a medium with low refractive index/high wave speed. AND The angle of incidence is greater than the critical angle for the two materials. NOTE: For merit do not accept “higher/lower density”, but “higher/lower optical density” is okay. Correct working and answer. Judgement Statement Achievement Achievement with Merit Achievement with Excellence 8AME 10AME including 5ME 12AME including 7ME of which 2E 91170 • Demonstrate understanding of waves • Assessment Schedule 2013 5 Appendix 1a 1c Car f f 2a Cell f Image of cell 91170 • Demonstrate understanding of waves • Assessment Schedule 2013 6 3c 3e Antinodal lines 4b Air Glass Water 91170 • Demonstrate understanding of waves • Assessment Schedule 2013