਀㰀℀ⴀⴀ 猀愀瘀攀搀 昀爀漀洀 甀爀氀㴀⠀  㘀㄀⤀栀琀琀瀀㨀⼀⼀挀栀攀攀琀愀栀⸀眀攀戀琀爀椀戀攀⸀渀攀琀⼀縀洀愀氀氀漀礀愀挀⼀倀栀礀猀椀挀猀㄀㤀㤀㠀瀀㄀猀漀氀渀猀⸀栀琀洀氀 ⴀⴀ㸀 Higher Physics 1998 PI Solutions਀㰀䴀䔀吀䄀 栀琀琀瀀ⴀ攀焀甀椀瘀㴀䌀漀渀琀攀渀琀ⴀ吀礀瀀攀 挀漀渀琀攀渀琀㴀∀琀攀砀琀⼀栀琀洀氀㬀 挀栀愀爀猀攀琀㴀甀渀椀挀漀搀攀∀㸀 ਀㰀䈀伀䐀夀㸀
਀㰀䠀㄀ 愀氀椀最渀㴀挀攀渀琀攀爀㸀匀漀氀甀琀椀漀渀猀 琀漀 匀儀䄀 攀砀愀洀椀渀愀琀椀漀渀㰀⼀䠀㄀㸀

1998 Higher Grade Physics


਀㰀䠀㌀ 愀氀椀最渀㴀挀攀渀琀攀爀㸀倀愀瀀攀爀 䤀 匀漀氀甀琀椀漀渀猀㰀⼀䠀㌀㸀㰀䈀刀㸀㰀䄀  href="http://cheetah.webtribe.net/~malloyac/index.html">Return to past paper ਀椀渀搀攀砀 瀀愀最攀⸀㰀⼀䄀㸀 㰀䈀刀㸀㰀倀刀䔀㸀㄀⸀ 㰀䈀㸀䐀㰀⼀䈀㸀ऀऀ㄀㄀⸀ 㰀䈀㸀䐀㰀⼀䈀㸀ऀऀऀ㈀㄀⸀ 㰀䈀㸀䈀㰀⼀䈀㸀 2. A 12. C 22. A਀㌀⸀ 㰀䈀㸀䐀㰀⼀䈀㸀ऀऀ㄀㌀⸀ 㰀䈀㸀䐀㰀⼀䈀㸀ऀऀऀ㈀㌀⸀ 㰀䈀㸀䈀㰀⼀䈀㸀 4. D 14. B 24. C਀㔀⸀ 㰀䈀㸀䈀㰀⼀䈀㸀ऀऀ㄀㔀⸀ 㰀䈀㸀䈀㰀⼀䈀㸀ऀऀऀ㈀㔀⸀ 㰀䈀㸀䔀㰀⼀䈀㸀 6. D 16. A 26. A਀㜀⸀ 㰀䈀㸀䈀㰀⼀䈀㸀ऀऀ㄀㜀⸀ 㰀䈀㸀䌀㰀⼀䈀㸀ऀऀऀ㈀㜀⸀ 㰀䈀㸀䔀㰀⼀䈀㸀 8. E 18. D 28. B਀㤀⸀ 㰀䈀㸀䌀㰀⼀䈀㸀ऀऀ㄀㤀⸀ 㰀䈀㸀䈀㰀⼀䈀㸀ऀऀऀ㈀㤀⸀ 㰀䈀㸀䔀㰀⼀䈀㸀 10.B 20. C 30. E

਀㌀㄀⸀ऀ䌀愀氀挀甀氀愀琀攀 琀栀攀 洀愀最渀椀琀甀搀攀 漀昀 琀栀攀 搀椀猀瀀氀愀挀攀洀攀渀琀 瘀攀挀琀漀爀 ⠀㰀䈀㸀猀㰀⼀䈀㸀⤀ 甀猀椀渀最 倀礀琀栀愀最漀爀愀猀✀ 琀栀攀漀爀攀洀  and calculate the corresponding bearing using basic trigonometry.਀ s2= AB2+BC2 Let angle BAC = q਀ऀ猀㰀匀唀倀㸀㈀㰀⼀匀唀倀㸀㴀 㔀 㰀匀唀倀㸀㈀㰀⼀匀唀倀㸀⬀㄀㔀 㰀匀唀倀㸀㈀㰀⼀匀唀倀㸀ऀऀऀऀ琀愀渀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀焀㰀⼀䘀伀一吀㸀㴀䈀䌀⼀䈀䄀 s2= 2,500+22,500 tanq=150/50਀ऀ猀㰀匀唀倀㸀㈀㰀⼀匀唀倀㸀㴀 ㈀㔀Ⰰ   ऀऀऀऀ琀愀渀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀焀㰀⼀䘀伀一吀㸀㴀㌀ s= (25000)1/2 q=TAN-13਀ऀ猀㴀 ㄀㔀㠀⸀㄀㄀洀ऀऀऀऀ㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀焀㰀⼀䘀伀一吀㸀㴀㜀㄀⸀㘀㰀匀唀倀㸀伀㰀⼀匀唀倀㸀 ਀ऀ㰀䈀㸀匀㴀㄀㔀㠀⸀㄀㄀洀㰀⼀䈀㸀 愀琀 愀 戀攀愀爀椀渀最 漀昀 㰀䈀㸀 㜀㄀⸀㘀㰀匀唀倀㸀伀㰀⼀匀唀倀㸀㰀⼀䈀㸀 ਀㌀㈀⸀ऀ吀漀 猀漀氀瘀攀 琀栀椀猀 瀀爀漀戀氀攀洀 甀猀攀 挀漀渀猀攀爀瘀愀琀椀漀渀 漀昀 洀漀洀攀渀琀甀洀⸀ ਀ऀ倀㰀匀唀䈀㸀戀攀昀漀爀攀㰀⼀匀唀䈀㸀㴀倀㰀匀唀䈀㸀愀昀琀攀爀㰀⼀匀唀䈀㸀 ਀ऀ倀㰀匀唀䈀㸀戀攀昀漀爀攀㰀⼀匀唀䈀㸀 㴀 洀㰀匀唀䈀㸀戀愀氀氀㰀⼀匀唀䈀㸀甀㰀匀唀䈀㸀戀愀氀氀㰀⼀匀唀䈀㸀⬀洀㰀匀唀䈀㸀猀琀甀搀攀渀琀㰀⼀匀唀䈀㸀甀㰀匀唀䈀㸀猀琀甀搀攀渀琀㰀⼀匀唀䈀㸀 Pbefore = 0.42xuball+50x0਀ऀ倀㰀匀唀䈀㸀戀攀昀漀爀攀㰀⼀匀唀䈀㸀 㴀  ⸀㐀㈀砀甀㰀匀唀䈀㸀戀愀氀氀㰀⼀匀唀䈀㸀 ਀ऀ倀㰀匀唀䈀㸀愀昀琀攀爀㰀⼀匀唀䈀㸀 㴀 ⠀洀㰀匀唀䈀㸀戀愀氀氀㰀⼀匀唀䈀㸀⬀洀㰀匀唀䈀㸀猀琀甀搀攀渀琀㰀⼀匀唀䈀㸀⤀砀 瘀 Pafter = (0.42+50)0.10਀ऀ倀㰀匀唀䈀㸀愀昀琀攀爀㰀⼀匀唀䈀㸀 㴀 㔀 ⸀㐀㈀砀 ⸀㄀ Pafter = 5.042kgm/s਀ Equating Pbefore to Pafter leads to:਀ 0.42xuball = 5.042਀ऀ甀㰀匀唀䈀㸀戀愀氀氀㰀⼀匀唀䈀㸀 ऀऀ㴀 㔀⸀ 㐀㈀⼀ ⸀㐀㈀ ⠀洀⼀猀⤀ uball = 12.00m/s਀ 33. Step 1 :Calculate the effective resistance of the parallel network਀ऀऀ挀漀渀琀愀椀渀椀渀最 琀栀攀 㘀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀圀㰀⼀䘀伀一吀㸀 愀渀搀 ㌀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀圀㰀⼀䘀伀一吀㸀 爀攀猀椀猀琀漀爀猀⸀ ਀ऀऀ㄀⼀刀㰀匀唀䈀㸀瀀㰀⼀匀唀䈀㸀㴀㄀⼀刀㰀匀唀䈀㸀㄀㰀⼀匀唀䈀㸀⬀㄀⼀刀㰀匀唀䈀㸀㈀㰀⼀匀唀䈀㸀 1/Rp=1/61+1/32਀ऀऀ㄀⼀刀㰀匀唀䈀㸀瀀㰀⼀匀唀䈀㸀㴀㌀⼀㘀 Rp=6/3਀ऀऀ刀㰀匀唀䈀㸀瀀㰀⼀匀唀䈀㸀㴀㈀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀圀㰀⼀䘀伀一吀㸀 ਀ऀ匀琀攀瀀 ㈀ 㨀䄀搀搀 琀栀攀 ㈀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀圀㰀⼀䘀伀一吀㸀 爀攀猀椀猀琀漀爀 琀漀 琀栀攀 瘀愀氀甀攀 挀愀氀挀甀氀愀琀攀搀 愀戀漀瘀攀⸀ R=2W+2W਀ऀऀ刀㴀㐀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀圀㰀⼀䘀伀一吀㸀 ਀ऀ匀琀攀瀀 ㌀ 㨀吀栀攀 㐀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀圀㰀⼀䘀伀一吀㸀 爀攀猀椀猀琀漀爀 椀猀 椀渀 瀀愀爀愀氀氀攀氀 眀椀琀栀 琀栀攀 爀攀猀椀猀琀愀渀挀攀 挀愀氀挀甀氀愀琀攀搀 椀渀 猀琀攀瀀 ㈀⸀ The total resistance is therefore given by:਀ 1/Rtotal= 1/4 + 1/4਀ऀऀ㄀⼀刀㰀匀唀䈀㸀琀漀琀愀氀㰀⼀匀唀䈀㸀㴀 ㈀⼀㐀 Rtotal = 2W਀ 34.a. When the wheatstone bridge is balanced:਀  R1/R2 = Rv/Rt਀ऀ刀㰀匀唀䈀㸀琀㰀⼀匀唀䈀㸀 㴀 刀㰀匀唀䈀㸀瘀㰀⼀匀唀䈀㸀砀刀㰀匀唀䈀㸀㈀㰀⼀匀唀䈀㸀⼀刀㰀匀唀䈀㸀㄀㰀⼀匀唀䈀㸀 Rt = 0.225x2.2/3.3਀ऀ刀㰀匀唀䈀㸀琀㰀⼀匀唀䈀㸀 㴀  ⸀㄀㔀欀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀圀㰀⼀䘀伀一吀㸀 Rt = 150W਀ b. At 80mV the temperature of the thermistor has increased by 4oC.਀ ऀ吀栀攀 琀攀洀瀀攀爀愀琀甀爀攀 漀昀 琀栀攀 琀栀攀爀洀椀猀琀漀爀 椀猀 琀栀攀爀攀昀漀爀攀 㰀䈀㸀㈀㐀㰀匀唀倀㸀漀㰀⼀匀唀倀㸀䌀㰀⼀䈀㸀⸀ ਀㌀㔀⸀愀⸀ऀ䔀 㴀 栀昀ऀऀ昀㴀瘀⼀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀氀㰀⼀䘀伀一吀㸀 E = hv/l਀ऀ㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀氀㰀⼀䘀伀一吀㸀 㴀 栀瘀⼀䔀 l = 6.63x10-34x3x108/6.9x10-19਀ऀ㰀䈀㸀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀氀㰀⼀䘀伀一吀㸀 㴀 ㈀⸀㠀㠀砀㄀ 㰀匀唀倀㸀ⴀ㜀㰀⼀匀唀倀㸀洀㰀⼀䈀㸀 ਀   戀⸀ऀ䄀猀 㐀⸀ 砀㄀ 㰀匀唀倀㸀ⴀ㜀㰀⼀匀唀倀㸀洀 椀猀 最爀攀愀琀攀爀 琀栀愀渀 琀栀攀 洀愀砀椀洀甀洀 眀愀瘀攀氀攀渀最琀栀 琀栀愀琀 眀椀氀氀 挀愀甀猀攀 愀渀 electron to be emitted, no electrons will be emitted from the zinc surface.਀ 36.a. When an electron in a high energy level is made to fall to a lower energy level਀ऀ椀渀 愀渀 愀琀漀洀 愀猀 愀 爀攀猀甀氀琀 漀昀 愀 瀀愀猀猀椀渀最 瀀栀漀琀漀渀Ⰰ 眀椀琀栀 愀渀 攀渀攀爀最礀 攀焀甀愀氀 琀漀 琀栀攀 攀渀攀爀最礀 最愀瀀 between the high energy level and the lower energy level, a photon produced. ਀ऀ吀栀椀猀 椀猀 挀愀氀氀攀搀 猀琀椀洀甀氀愀琀攀搀 攀洀椀猀猀椀漀渀 漀昀 爀愀搀椀愀琀椀漀渀 眀栀攀爀攀 琀栀攀 瀀愀猀猀椀渀最 瀀栀漀琀漀渀 椀猀 挀愀氀氀攀搀 the stimulating photon.਀ b. The stimulating and the stimulated radiation have the same frequency and wavelength. They਀ऀ愀爀攀 愀氀猀漀 琀爀愀瘀攀氀氀椀渀最 椀渀 琀栀攀 猀愀洀攀 搀椀爀攀挀琀椀漀渀 愀渀搀 愀爀攀 椀渀 瀀栀愀猀攀⸀ ਀㌀㜀⸀ऀ吀漀 猀漀氀瘀攀 琀栀椀猀 瀀爀漀戀氀攀洀 甀猀攀 琀栀攀 最爀愀琀椀渀最 攀焀甀愀琀椀漀渀 㰀䈀㸀搀猀椀渀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀焀㰀⼀䘀伀一吀㸀 㴀 渀㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀氀㰀⼀䘀伀一吀㸀㰀⼀䈀㸀⸀ ਀ऀ搀 㴀 ㄀⼀㌀   洀洀 㴀 ⠀㄀⼀㌀  ⤀砀㄀ 㰀匀唀倀㸀ⴀ㌀㰀⼀匀唀倀㸀洀 㴀 ㌀⸀㌀㌀砀㄀ 㰀匀唀倀㸀ⴀ㘀㰀⼀匀唀倀㸀洀 q = 24.5o਀ऀ渀 㴀 ㈀ l = ?਀ l = dsinq/n਀ऀ㰀䘀伀一吀 昀愀挀攀㴀匀礀洀戀漀氀㸀氀㰀⼀䘀伀一吀㸀 㴀 ㌀⸀㌀㌀砀㄀ 㰀匀唀倀㸀ⴀ㘀㰀⼀匀唀倀㸀猀椀渀㈀㐀⸀㔀㰀匀唀倀㸀漀㰀⼀匀唀倀㸀⼀㈀ l = 6.91x10-7m = 691nm਀ ਀㰀䌀䔀一吀䔀刀㸀㰀䠀㌀㸀䔀一䐀 伀䘀 儀唀䔀匀吀䤀伀一 倀䄀倀䔀刀㰀⼀䠀㌀㸀㰀⼀䌀䔀一吀䔀刀㸀 ਀㰀䄀 栀爀攀昀㴀∀栀琀琀瀀㨀⼀⼀挀栀攀攀琀愀栀⸀眀攀戀琀爀椀戀攀⸀渀攀琀⼀縀洀愀氀氀漀礀愀挀⼀椀渀搀攀砀⸀栀琀洀氀∀㸀刀攀琀甀爀渀 琀漀 瀀愀猀琀 瀀愀瀀攀爀 椀渀搀攀砀 瀀愀最攀⸀㰀⼀䄀㸀 ਀㰀⼀倀刀䔀㸀㰀⼀䈀伀䐀夀㸀㰀⼀䠀吀䴀䰀㸀