Ahupūngao, Kaupae 2, 2016

Transcription

1 91170M SUPERVISOR'S USE ONLY Ahupūngao, Kaupae 2, M Te whakaatu māramatanga ki te ngaru 9.30 i te ata Rātū 15 Whiringa-ā-rangi 2016 Whiwhinga: Whā Paetae Kaiaka Kairangi Te whakaatu māramatanga ki te ngaru. Te whakaatu māramatanga hōhonu ki te ngaru. Te whakaatu māramatanga matawhānui ki te ngaru. Tirohia mēnā e rite ana te Tau Ākonga ā-motu (NSN) kei runga i tō puka whakauru ki te tau kei runga i tēnei whārangi. Me whakamātau koe i ngā tūmahi KATOA kei roto i tēnei pukapuka. Tirohia mēnā kei a koe te Rau Rauemi L2 PHYSMR. Ki roto i ō tuhinga, whakamahia ngā whiriwhiringa tohutau mārama, ngā kupu, ngā hoahoa hoki, tētahi, ētahi rānei o ēnei, ki hea hiahiatia ai. Me hoatu te wae tika o te Pūnaha Waeine ā-ao (SI) ki ngā tuhinga tohutau. Mēnā ka hiahia whārangi atu anō koe mō ō tuhinga, whakamahia te (ngā) whārangi wātea kei muri o tēnei pukapuka, ka āta tohu ai i te tau tūmahi. Tirohia mēnā e tika ana te raupapatanga o ngā whārangi 2 19 kei roto i tēnei pukapuka, ka mutu, kāore tētahi o aua whārangi i te takoto kau. ME HOATU RAWA KOE I TĒNEI PUKAPUKA KI TE KAIWHAKAHAERE Ā TE MUTUNGA O TE WHAKAMĀTAUTAU. TAPEKE MĀ TE KAIMĀKA ANAKE Mana Tohu Mātauranga o Aotearoa, Pūmau te mana. Kia kaua rawa he wāhi o tēnei tuhinga e whakahuatia ki te kore te whakaaetanga tuatahi a te Mana Tohu Mātauranga o Aotearoa.

2 2 TŪMAHI TUATAHI: TE AHO 1 I te titiro a Tim ki roto i tētahi pōro whakaata koropuku i tana māra. I a ia e tū ana i muri i tētahi tipu iti, i kite ia i tana tirotanga ki te whakaaturanga o te tipu i te whakaata koropuku, he iti ake te āhua i tōna ake āhua. MĀ TE KAIMĀKA ANAKE Ki te hiahia koe ki te tuhi anō i tō hoahoa hihi, whakamahia te hoahoa wātea i te whārangi 14. F (a) Whakaotihia te hoahoa hihi māmā i runga ake (kāore i tuhia ā-āwhata) hei whakaatu ki hea puta ai te mātātuhi o te tipu iti. Ka whakamahia e Tim tētahi mōhiti koropuku 2 hei waihanga i tētahi mātātuhi o te tipu iti. He 40.0 cm te roa o te ngahunga o te mōhiti koropuku. (b) Tuhia kia RUA ngā hihi ki te hoahoa i raro hei whakaatu ki hea puta mai ai te mātātuhi o te tipu. Tuhia te mātātuhi ki te takotoranga tika. Ki te hiahia koe ki te tuhi anō i tō hoahoa hihi, whakamahia te hoahoa wātea i te whārangi 14. plant Tipu 2F F F 2F 1 tūrama 2 mōhiti ūngutu Ahupūngao 91170M, 2016

3 3 QUESTION ONE: LIGHT ASSESSOR S USE ONLY Tim was looking into a convex mirror ball in his garden. Standing behind a small plant, he noticed that when he looked at the reflection of the plant in the convex mirror, it appeared smaller than it really was. If you need to redraw your ray diagram, use the diagram on page 15. F (a) Complete the simplified ray diagram above (not to scale) to show where the image of the small plant would appear. Tim used a convex lens to create an image of the small plant. The convex lens has a focal length of 40.0 cm. (b) Draw TWO appropriate rays on the diagram below to show where the image of the plant would be formed. Draw the image in the correct position. If you need to redraw your ray diagram, use the diagram on page 15. plant 2F F F 2F Physics 91170, 2016

4 4 (c) He āhua rerekē ngā mātātuhi ka puta mai i te whakaata koropuku i ō te mōhiti koropuku. Ka whakaputa te whakaata koropuku i te mātātuhi mariko, ka whakaputa kē te mōhiti koropuku i te mātātuhi tūturu. Whakamāramatia te rerekētanga i waenganui i te mātātuhi tūturu me te mātātuhi mariko. Whakamārama mai ka pēhea te kite a Tim i te rerekētanga i waenga i ngā mātātuhi e rua. MĀ TE KAIMĀKA ANAKE (d) Ka whakatakoto a Tim i tētahi tipu 10.0 cm te teitei ki te pūwāhi he 60.0 cm te tawhiti atu i te mōhiti koropuku (me te roa ngahunga o te 40.0 cm). Tātaihia: te tawhiti i waenga i te mātātuhi me te mōhiti te teitei o te mātātuhi. Ahupūngao 91170M, 2016

5 (c) The images produced by the convex mirror and the convex lens are quite different. The convex mirror produces a virtual image, and the convex lens produces a real image. Explain the difference between a real and a virtual image. Explain how Tim could detect the difference between the two images. 5 ASSESSOR S USE ONLY (d) Tim places a small 10.0 cm tall plant a distance of 60.0 cm from the convex lens (with a focal length of 40.0 cm). Calculate: the distance between the image and the lens the height of the image. Physics 91170, 2016

6 6 TŪMAHI TUARUA: TE WAI Ka titiro a Tim ki te hāroto i roto i te māra ka kite ia i tētahi tauira i te wai nā te hau i mahi. E whakaatu ana te hoahoa i raro i tētahi tauira māmā o ngā ngaru wai hakoko i te huringa o te hōhonu o te wai i roto i te hāroto. Ka pā mai te hakoko i te paenga i waenga i ngā hōhonu e rua o te hāroto. Kei te taha mauī o te paenga ngā ngaru whakapā. MĀ TE KAIMĀKA ANAKE Medium Whaitua A boundary paenga X Whaitua Medium B B Ki te hiahia koe ki te tuhi anō i ngā pere, whakamahia te hoahoa wātea ki te whārangi 16. (a) Tātuhia he pere hei tohu ki te hoahoa te ahunga o te ngaru whakapā i tana taenga ki te pūwāhi X. Tātuhia he pere hei tohu ki te hoahoa te ahunga o te ngaru hakoko i tana wehenga i te pūwāhi X. (b) (i) Ko tēhea āhuatanga o te ngaru kāore e huri ina hakoko? (ii) Ka paku haere te roangaru o te ngaru i tana urunga ki te whaitua B. Whakamāramahia mai he aha ngā tohutohu o tēnei mō te tere o te ngaru i te whaitua B. (c) Mēnā ko te roa o te ngaru i te whaitua A he m, ā, ko te tere o te ngaru i te whaitua A he 3.30 m s 1, tātaihia te tere o te ngaru i te whaitua B mēnā ko te roa o te ngaru i te whaitua B he m. Ahupūngao 91170M, 2016

7 7 QUESTION TWO: WATER ASSESSOR S USE ONLY Tim looked at the pond in the garden and noticed a pattern in the water caused by the wind. The diagram below shows a simplified pattern of the water waves being refracted as the depth of the water in the pond changes. Refraction occurs at the boundary between the two depths of the pond. The incident waves are on the left of the boundary. Medium A boundary X Medium B If you need to redraw your arrows, use the diagram on page 17. (a) Draw an arrow to mark on the diagram the direction of the incident wave as it reaches point X. Draw an arrow to mark on the diagram the direction of the refracted wave after it leaves point X. (b) (i) Which property of a wave does not change when it is refracted? (ii) The wavelength of the wave gets smaller as it enters medium B. Explain what this tells you about the speed of the wave in medium B. (c) If the wavelength of the wave in medium A is m, and the speed of the wave in medium A is 3.30 m s 1, calculate the wave speed in medium B if the wavelength of the waves in medium B is m. Physics 91170, 2016

8 8 (d) Ka kitea e Tim ētahi atu pānga ngaru nā te nui o te hāroto. I tētahi pito o te hāroto, e rua ngā toka nui tērā ka whakaarai pea i tētahi wāhanga o ngā ngaru i te wā e neke ana mai i te taha mauī ki te matau. Kei te kōrewa tētahi rengarenga i tērā atu taha o ngā toka. Mā te neke i te takotoranga o ngā toka, ka tāea e Tim te neke te rengarenga kei te kōrewa mā ngā ngaru wai. MĀ TE KAIMĀKA ANAKE Ki te hiahia koe ki te tuhi anō i ngā tauira ngaru, whakamahia te hoahoa wātea ki te whārangi 16. Takotoranga Rock position toka A Takotoranga Rock position toka B (i) Whakaingoahia te tukanga e tāea e ngā ngaru te rengarenga kōrewa. (ii) Whakaotihia ngā hoahoa e rua hei whakaatu i te tauira ka puta i ngā ngaru ina puta atu i waenga i ngā toka e rua i te takotoranga toka A me te takotoranga toka B. (iii) Whakamahia tō tuhinga ki te wāhanga (ii) hei whakatau mēnā i tāea e ngā ngaru te rengarenga kōrewa mā te takotoranga toka A, takotoranga toka B rānei. Tuhia he whakamāramatanga matawhānui mō te take he nui ake te pānga o tēnei takotoranga toka ki ngā ngaru tēnā i tētahi atu takotoranga toka. Ahupūngao 91170M, 2016

9 (d) 9 The pond is large enough that other wave effects can be seen by Tim. At one end of the pond, there are two large rocks that can be made to partially block the waves as they move from left to right. A water lily is floating beyond the rocks. By changing the position of the rocks, Tim can cause the water waves to move the floating water lily. ASSESSOR S USE ONLY If you need to redraw your wave patterns, use the diagram on page 17. Rock position A Rock position B (i) Name the process by which waves could reach the floating water lily. (ii) Complete both diagrams to show the pattern created by the waves as they pass through the gap between the two rocks in both rock position A and rock position B. (iii) Use your answer to part (ii) to decide whether the waves reached the floating water lily using rock position A or rock position B. Give a comprehensive explanation as to why this rock position affected the waves more than the other rock position. Physics 91170, 2016

10 10 TŪMAHI TUATORU: TE HOROI I TE MOTOKA Kei te horoi a Ana i tōna motoka, ka kite ia i ngā hohō wai kei te wini o mua, ahakoa he pūataata te karāhe me ngā hohō wai. (a) He aha i tāea ai e Ana te wehewehe i waenga te karāhe me te wai? MĀ TE KAIMĀKA ANAKE Ka whakamātau a Ana ki te tātuhi i tētahi hohō wai nui kei tana wini o mua hei āwhina i a ia ki te mōhio kei te tūpono te aha. Whakamahia te mōhiohio i raro hei tuhi i te wāhanga (b). Ko te 1.00 te taupū hakoko o te hau Ko te 1.33 te taupū hakoko o te wai Ko te 1.52 te taupū hakoko o te karāhe koki angle of whakapā incidence angle koki of refraction hakoko Ko te 32 te koki whakapā i te matawehe o te hau me te wai. air hau takiwā water wai karāhe glass (b) Mēnā kei te āhua whakarara te matawehe hau-wai me te matawehe wai-karāhe, tātaihia te koki hakoko i te karāhe (e ai ki te tapanga). Ka whakamātau a Ana me tētahi taiaho whero, he pātara perspex, me tētahi rerenga wai, hei waihanga i te whakaatanga ā-roto katoa. cfm?id=2687&theyear=2011 Ahupūngao 91170M, 2016

11 11 QUESTION THREE: WASHING THE CAR ASSESSOR S USE ONLY Ana is washing her car and notices that she can see drops of water on the windscreen, even though both the glass and the water drops are transparent. (a) Why is Ana able to distinguish between the glass and the water? Ana tries to sketch a drawing of a large bead of water on the windscreen to help her understand what is happening. Use the information below to answer part (b). Refractive index of air = 1.00 Refractive index of water = 1.33 Refractive index of glass = 1.52 Angle of incidence at air-water interface = 32. angle of incidence angle of refraction air water glass (b) If the air-water interface and the water-glass interface are roughly parallel, calculate the angle of refraction in the glass (as labelled). Ana experiments with a red laser, a perspex bottle, and a stream of water, to create total internal reflection. cfm?id=2687&theyear=2011 Physics 91170, 2016

12 12 (c) Tuhia kia rua ngā āhuatanga e hiahiatia ana kia puta ai te whakaatanga ā-roto katoa. MĀ TE KAIMĀKA ANAKE (d) (i) Whakaotihia te hoahoa i raro hei whakaatu i te ara o te taiaho whero i roto i te rerenga wai. Ki tō hoahoa, mākahia te koki whakapā. Kua oti te rārangi hāngai te tātuhi mōu. laser hihi taiaho beam rārangi normal hāngai (ii) Mēnā ko te tino koki mō te aho whero he 48.70, tātaihia te taupū hakoko o te wai mō te aho whero, tae ki ngā mati whaiira e 3. Ahupūngao 91170M, 2016

13 (c) State two conditions necessary for total internal reflection to occur. 13 ASSESSOR S USE ONLY (d) (i) Complete the diagram below to show the path of the laser beam in the stream of water. On your diagram, mark the angle of incidence. The normal has been drawn for you. laser beam normal (ii) If the exact critical angle for red light is 48.70, calculate the refractive index of water for red light, to 3 decimal places. Physics 91170, 2016

14 14 HE HOAHOA TĀPIRI Ki te hiahia koe ki te tātuhi anō i tō hoahoa hihi mō te Tūmahi Tuatahi (a), whakamahia te hoahoa i raro nei. Kia mārama te tohu ko tēhea te hoahoa ka hiahia koe kia mākahia. MĀ TE KAIMĀKA ANAKE F Ki te hiahia koe ki te tātuhi anō i tō hoahoa hihi ki te Tūmahi Tuatahi (b), whakamahia te hoahoa i raro nei. Kia mārama te tohu ko tēhea te hoahoa ka hiahia koe kia mākahia. plant Tipu 2F F F 2F Ahupūngao 91170M, 2016

15 15 SPARE DIAGRAMS ASSESSOR S USE ONLY If you need to redraw your ray diagram for Question One (a), use the diagram below. Make sure it is clear which diagram you want marked. F If you need to redraw your ray diagram for Question One (b), use the diagram below. Make sure it is clear which diagram you want marked. plant 2F F F 2F Physics 91170, 2016

16 16 Ki te hiahia koe ki te tātuhi anō i ngā pere ki te Tūmahi Tuarua (a), whakamahia te hoahoa i raro nei. Kia mārama te tohu ko tēhea te hoahoa ka hiahia koe kia mākahia. MĀ TE KAIMĀKA ANAKE Whaitua Medium AA boundary paenga X Whaitua Medium B B Ki te hiahia koe ki te tātuhi anō i ngā tauira ngaru ki te Tūmahi Tuarua (d), whakamahia te hoahoa i raro nei. Kia mārama te tohu ko tēhea te hoahoa ka hiahia koe kia mākahia. Takotoranga Rock position toka A Takotoranga Rock position toka B Ahupūngao 91170M, 2016

17 17 If you need to redraw your arrows for Question Two (a), use the diagram below. Make sure it is clear which diagram you want marked. ASSESSOR S USE ONLY Medium A boundary X Medium B If you need to redraw your wave patterns for Question Two (d), use the diagram below. Make sure it is clear which diagram you want marked. Rock position A Rock position B Physics 91170, 2016

18 18 TAU TŪMAHI He whārangi anō ki te hiahiatia. Tuhia te (ngā) tau tūmahi mēnā e tika ana. MĀ TE KAIMĀKA ANAKE Ahupūngao 91170M, 2016

19 19 QUESTION NUMBER Extra paper if required. Write the question number(s) if applicable. ASSESSOR S USE ONLY Physics 91170, 2016

20 English translation of the wording on the front cover Level 2 Physics, Demonstrate understanding of waves 9.30 a.m. Tuesday 15 November 2016 Credits: Four 91170M Achievement Achievement with Merit Achievement with Excellence Demonstrate understanding of waves. Demonstrate in-depth understanding of waves. Demonstrate comprehensive understanding of waves. Check that the National Student Number (NSN) on your admission slip is the same as the number at the top of this page. You should attempt ALL the questions in this booklet. Make sure that you have Resource Sheet L2 PHYSMR. In your answers use clear numerical working, words and / or diagrams as required. Numerical answers should be given with an appropriate SI unit. If you need more space for any answer, use the page(s) provided at the back of this booklet and clearly number the question. Check that this booklet has pages 2 19 in the correct order and that none of these pages is blank. YOU MUST HAND THIS BOOKLET TO THE SUPERVISOR AT THE END OF THE EXAMINATION.