ANSWER KEY PHYSICS 6 6 6 7 7 7 9 9 9 0 0 0 CHEMISTRY 6 6 6 7 7 7 9 9 9 0 0 60 MATHEMATICS 6 66 7 76 6 6 67 7 77 7 6 6 7 7 6 69 7 79 9 6 70 7 0 90 PHYSICS F L l. l A Y l A ;( A R L L A. W = (/ lod etesio = (/ mgl 6. wl bd y 7. YAl L F 0 0 L L 7 0 ( I L. PV V K p 000 ; V V 9. PV h p g K V V V 0.0 00 F / Y Fl Fl 0. Y ; l Y l l l o l l l /. Wok doe = lod etesio F F / A FL YA But Y o F / L A L YA YA Wokdoe X L L. Eegy /volume = stesssti Ystisti= Y(sti = 00 0.060-0.060 - =600Jm -. Bekig stess bekig foce cos tt e ( = o =. Eegy stoed pe uit volume = stess sti stess stess stess sti stess Y 6. Stem poit d ice poit tempetues depeds o pessue. Tiple poit hs uique tempetue. Tiple poit of wte is t 7. 6K d pessue 6. 0 - p. 7. Gses epd quickly th liquids. C F K 7. ; 9 O O O F C 0 C C 0 F 90 9. ; F 0 00 0 L 0. L L t; 00 L t 00 0 0000 0.% S Y
. legth iceses, peiod iceses time fo oe oscilltio iceses d thus time will loss l l. ; t l t 0. 99 o C 0.9.0. Pecetge chge i volume t 00 t 00 00 t 00 0-00=. l. 00 t 00 l. 0 00 0 0.0% 6. H = 0 0 + 0 00 + 0 0 = 700 cl.. L 0 (0 0 o 0 0 g 0g 0 9. Het gied by ice = het lost by wte; 0 0 + 0 θ = (0 - θ; o 00 + 0θ = 0 - θ o 00 6 θ = 00-00; o o C 6 0. Mss tio : ; hece T tio :. This fits 0 o C o [θ-0] = 0 [0-θ]; θ -0 = 00-0θ i.e. θ = 0; θ = 0 o CHEMISTRY. Volume is ot itesive popety.. the compesso hs to u fo loge time eleg moe het to the suoudigs.. 0 C d tm. Totl eegy of isolted system is costt.. Fomtio of CO is eothemic ectio; het is evolved fom the system, i.e. eegy is loweed. Thus, eothemic ectios occu spoteously o ccout of decese i ethlpy of system. Thus, E H. 6. H 7. Hess s lw. egtive 9. fo isotheml pocess: T 0 d E 0 d q 0 0. fo elemets, stdd ethlpy of fomtio is zeo.. W = 0 is ot tue.. q = 0J w = -J (wok doe by the system E q w 0 J.. give umbe of moles = Iitil tempetue = kj = 000J It will be (- becuse wok is doe by the system. Het cpcity t costt volume (C υ = 0J / K We kow tht wok doe W Cv ( T T; 000 0 ( T 00 000 0 T 6000 000 0 T 000; T 0K. 0. Chge i itel eegy is give by the eltio, E q w E q w (s het is give out by the system E E kj. fo isochoic pocess V 0 so q E i.e. het give to system ude costt volume is used up i iceg E. 6. It is o-metl 7. /p tio is cuse of dioctivity.. s lkli metls hve tedecy to loose e. 9. ech peiod cosists of seies of elemets whose tom hve the sme picipl qutum o. ( of the oute most shell i.e., i secod peiod =, this shell hs fou obitls (oe s d thee p which c hve eight electos, hece secod peiod cotis elemets fom tomic o. to 0. 0. Neils Boh developed the log fom of peiodic tble o the bsis of Moseley s piciple.. De Ch Coutois. Deceses 6 6. s s p s p s picipl qutum o. is so it belogs to th peiod.
. Elemets of secod d thid peiod Digol eltioship. Electoic cofigutio 6. Z =,,,. it would dote e moe esily. 7. Fist goup e.g.. the ode of sceeig effect fo give shell electo is s > p > d > f. 9. Elemets of goup hloge e: F, Cl, B l d At. 60. Vlece electos MATHEMATICS 6. Legth of wie = 7 cm, dius of the c = cm Agle subteded t the cete = Ac legth 7 dius 6 7 0 0 di degee 0 6 6. t (,, t e G.P 6. 6 mimum vlue. 6. I cyclic qudiltel A + C = A C A Similly B+D = ( c C B D B ( d D C DC D 0 6. If A B C the A B C [ mimum vlueof A is ] The A B C 0 If A, the A 0 A B C 0 66. ( 67. t t t 6 6 9 t( t t ( t t 7 7 6. t t0 t t t90 cot t t t t t A t A ta t A A t At A ta t At A t A t A ta t At AtA t A t A ta t A t A t At AtA 69.
A B y A B y A B A B A B A B 70. y y y y A B A B y t Acot B y t A y t B 7. Miimum vlue of 7. b Mimum vlue of b Miimum vlue of b b Mimum vlue of Poduct A A B A BA B; B = (A+B (A B (+ (- (+ (- 60 6 cot 60 cot6 606 6 6 0 ( 0 7. 6 0 0 6 0 7. Mimum vlue of But RHS = 7Thee is o solutio 7. t t t t t t whee t t t t (t t t 6t 0t 0 6t 0t 0 t t 0 t 6 7 7 7,, 6 6 6 Sice is cute t > 0 t 76. 90 9 90 9 90 79 90 9 9
... 79... 9 90 9 9... 79... 9 90... 9... 90. 77. Let t 7 t 7 the 7 7 0 (60 (60 7. [ 60 ] t t 0 60 0 6 0 0 (60 0 0 0(70 0 0 0 70 t 0 t 0 79. t(0 0 t 0t 0 t 60 t 0 t 0 t 0 t 0 t 0 t 0 t 0 t 0 0. t t b b b t b b. 76 6 76 9 6 6 6 7 ( is i the th qudt is gete th 0 t 7 7 7 t 7 7 7 7 7. cot.. t 0 t(70 0 t 70 t 0 t 70 t 0 t 70 t 0 t(90 0 t 0
t0 t 00 t 70 t 0 t 70 t 0 t 70 t 0 0 cot t 0 t 70...., if <... o 6. t 6 7 t( t t7 t7 t t7 t7 7 7 7 7 7. t sec 0 ( ( i.e. 0. 7, 0, But 0 7. :. 9. Give tht ( ( 0 90. 0 7 6 7 (0 7 6 6 0 ( 6 6 (90 6 7 6