JEE - MAIN : MOCK TEST

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Nickolas Collins
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1 PHYSIS : 0 [b] T g In a liquid JEE - MIN : MOK TEST - 05 Solutions ti to it B t qb ti to travl in rgion whr B is absnt is t [b] T ' g dnsity of bob dnsity of liquid 0 T ' g 0 g 0 T ' T R cos5 s s R t s R v v v vqb qb total ti t qb ti for rturning journy in B t qb [a] g g0º R cos 0º R v R qb R sin, 5º R ftr coing out of B q will collid with th wall total ti [d] 5 [c] q qb qb qb [ ] qb qb T T ' MB H MB H T onsidring a projctd lngth R on th ring in vrtical plan This lngth will ov at a spd v prpndicular to th fild This rsults in an inducd f : pag

2 6 [c] Bv( R) in th ring In Ring '''' : BV( R) In Ring ''B'' : B( V )( R) B potntial diffrnc btwn uppr points BV( R) BV( R) BVR [b] B B g 0 N; g 0N g g ; 0 c; (50 0) = 70 c 8 [b] Effctiv ass of hols ar gratr than th ass of lctron so obility of lctron is or as copard to hols and y a t k a t k h 9 [a] Frquncy upto 0 MHz can b rflctd fro ionosphr 0 [d] [c] [d] y a sin( t k) cos( ) sin Hnc phas diffrnc btwn ths two is v v0 v v 0 n ' n n n v v v v 0 v v0 v /sc [a] [b] i w PV n RT r r 5 [a] 6 [c] w i il i c º r r w w r 9 0 h 6 V 0 /s 0 r 9 T 56 0 sc 0 V 8 0 n 0 T 0 Z dcay: s X Y Q Z Q N Z X N ZY c z X Z z Y Z c ( ) M M Z ( Z ) c X Y ( M M ) c B dcay : X Y 0 Z X Y Q Z Q [ ( X ) ( Y ) ] c N Z N Z Z X Z ZY ( Z ) c ( M X MY ) c s KE of ittd nrgy of V hv p hc Ray pag

3 P hc h h h p hc c h or c or c h 7 [a] Fro th law of consrvation of ontu v v v B B or ( v v ) v (i) B B v v v B B ( v v ) v V B B Dividing qn (ii) by qn (i), w obtain or v v B B hang in wavlngth h h ( ) f ( ) v v (iv) 0 [c] [a] V 00 i 05 R 576 q V 0 a( a ) 0 ka d d dq d i V dt dt h v or v v Fro qn (iv) and (v) h B v B 8 [a] (v) K [a] V ir B B L L 05 V/ [a] kqdq kq Q df d d L F df d L V (0) R 576 P 00 For ascnding Motion Rtardation a g sin { cot } Lt aftr distanc S it stop V 0 u as (i) V 0 u at (ii) pag

4 S So fro (i) & (ii) t a (iii) For dscnding a g sin { cot } S S a t t D 0 D D D (iv) ad bcaus t t tan 056 D So [a] Forc of friction g Thrfor, rtardation a g / g lso a v or a v But p v Thrfor, But a p But a g Thrfor, g p or p g [d] Thr is no trnal torqu so angular ontu is consrvd also forc acting on syst ar consrvativ so chanical nrgy of syst is also consrvd 5 [d] 6 [b] L ( L) ov than L t 5 Iag distanc v u ( R ) 0 For curvd surfac Hr, = 5 R 5 5 (5 ) R R 7 [d] Distanc fro plan sid 8 [c] v ' 5 c 6 Distanc fro curvd sid 6 6 v '' 8 0 c hnc v ' v '' (8 5 ) 5c s 0 /s = /s B 0 vt s o at 0 t 0 t s (distanc btwn & B) s s s 0 t 0t s (constant) so only on iniu in this function is at t 5 sc 9 [a] For sa rang thr ar two possibl angls of projction and 90º Lt u b vlocity of projction u sin R g u sin In st cas, h g u sin (90 ) u cos In IInd cas, h' g g u hh' sin cos g u sin cos 6g pply ( s R ) ; v u R v u u sin 6g u 6 hh ' sin g R R 6 hh' hh' pag

5 0 [b] Lt w considr displacnt of is and displacnt of is and vrtical displacnt of is y y y diffrntiat again a a a d y d d dt dt dt diffrntiat this dy d d dt dt dt Equivalnt of HEMISTRY : [c] gbr Na S O Na [g(s O ) ] Solubl copl [b] N is alost chically inrt bcaus it has vry high bond nrgy and absnc of bond polarity [b] F K [F(N) 6] F [F(N) 6] (Prussian blu) [c] 5 6 [c] 7 [d] H (g) H (g) s tpratur incrass and prssur dcrass, foration of atoic H incrass onfiguration invrt, ans SN raction taks plac Rat = K [Substrat] [OH ] r O 6F (n ) (Mohr's salt) 7 H r 6F 7HO 8 [c] 9 [b] º 0 [d] F ols of Mohr's salt = quivalnt of KrO 7 = Hnc ol prcnt of Mohr's salt = ol MnO los 6 0ol ; so total charg rquird 0 0F E E E º º º cll H g Gº nf E cll ( 08) 5 kj Ti [r]sº dº(0 unpaird ) 0 u [r]sº d (0 unpaird ) 0 Zn [r]sº d (0 unpaird ) r [r]sº d ( unpaird ) [b] orrct ordr of boiling point is, HF HI HBr Hl [b] [b] E procss is always ndothric Z Mw 00 N V 6 0 (00 0 ) g/ c pag 5

6 [d] ccording to fact 5 [d] o No is ans it is fcc lattic o No is 8 ans it is bcc lattic fcc bcc atass N a a r a a ( r) atass N a a ( ) ( ) ( ) 6 [d] For adiabatic condition q 0 For fr pansion, w 0 E q w So E 0 & intrnal nrgy dpnds on tpratur 7 [d] Both S & SB ioniz copltly nutralization nthalpy is sa 8 [a] On incrasing tpratur, rat of all typs of raction incrass 9 [a] 50 [b] w 000 M w g W VT T 75 0 V V 675 l 5 [d] (HO ) ph pk a log (H O ) Lt V L of NaHO is rquird ols of HO Lt V L of NaHO is rquird ols of NaO 5V ph pka log 00 5V 7 6 log 00 v 79l 5 V 5V 5 [b] In (Q), it could b found that both th pyranos rings ar attachd through thir rducing group, hnc it will not b hdyrolysd, and it cannot rduc Tolln's ragnt So (Q) is not a rducing sugar, whras in (P) on ring is hiactal which can b hydrolysd thrfor it will b hydrolysd in solution and can rduc Tolln's ragnt For nzy catalyst raction upto º rat and thn 5 [c] M V M V W V T T 5 [b] For Lassaign's tst of N, copound ust contain N in addition to to for NaN in sodiu tract 55 [c] 56 [b] In th broination of bnzn : Br is th lctrophil H 57 [b] NH O Ph Ph pag 6

7 58 [c] This copound has O H H on saturatd carbon ato 59 [c] Sn conc HNO H SnO ta stannic acid 60 [d] Latus rctu is focal chord and vry circl on a focal chord as its diatr touchs th dirctri Rat of NR in carbonyl copound MTHEMTIS : 6 [b] Third vrt is 6 [b] agnitud of th charg on carbonyl stric rpulsion -ato (y y ) y y ( ), (0 0) 0 0 ( ), (0, ) But third vrt lis abov -ais circuradius it will b (0, ) Triangl is quilatral circucntr = cntroid G 0, Equation of circucircl ( 0) y y y 0 G 6 [a] 6 [b] 8 Thrfor radius PS PS ' 0 a 0 a 5 a 8 a / 5 b a ( ) 6 b 5 5 b ab 5 5 a y passs through,0 a y touchs th hyprbola a a b a a ( ) (5 ) 5 0, y b pag 7

8 65 [a] p q P(corrct forcasting) P(wrong forcasting) n lt r b th nubr of corrct forcast P(t last thr corrct rsults) P( r ) P( r ) P ( p) ( q) ( p) ( q) 0 66 [c] P Lt G ( ) n (i) O G R G ( ) ( ) n n f [ R] G n vn Intgr f G 0 f G (0 f ) f G ( ) n ( ) n R [ R] f f f [ R] f f 67 [b] a b c and b c a ( c a ) c a (putting b c a ) ( ) c ( ) a a b c 0 a b c ( a b b c c a) 0 a b b c c a 68 [c] as-i : Th nubr of coitts of gntlan R as-ii : Th nubr of coitts of wivs as-iii : Th nubr of coitts of gntln and wif as IV : Th nubr of coitts of gntln, wivs 6 as V : Th nubr of coitts of gntln, wivs Total nubr of rq coitts = as (I + II + III + IV + V) = = 6 69 [d] sin 7 Givn sin sin 7sin sin 7 8 6,, clarly, 60º 70 [d] 7 [a] Lt quadratic quation b 6 0 constant tr = wrong wrong roots =, but su of roots = + It ans, b b 5 corrct ( )( 6) 0,6 roots z 0 z P P B in in ( P PB)? it is only possibl whn p lis btwn and B (0) P(z) B() ( P PB)in B pag 8

9 7 [a] 9,, y, z, a ar in P 9 a y z 5 5 a 9, X, Y, Z, a ar in HP,,,, 9 X Y Z a 7 [b] ar in P a a X Y Z h z dz z 0 li, h0 h 0 Us L'Hospital Rul h h li h0 7 [a] W hav b 75 [d] ( ) f ( ) d ( b )sin(b ) (0 ) 0 diffrntiat both sid wrt b f ( b) 0 ( b )cos(b ) sin(b ) f ( b) ( b )cos(b ) sin(b ) f ( ) ( )cos( ) sin( ) { } 0 li ( ) li ( 0 ), 0, 0 liit dos not ist at 0 76 [b] 77 [c] For z,[ ] is diff and is sa constant so f '( ) [ ] f ( ) is continuous at f () li f ( ) 78 [d] li[ ] [ ] w know [ ] [ ] 0 : I : I for f '( ) 0 0 f ( ) is n f For, f '( ) 0 f ( ) has gratst valu at li f ( ) f () log ( b ) 5 log ( b ) 7 b 0 but b 0 b B is iag of wrt 5 0 b 0, (, 0) 79 [a] is (, ) 80 [b] y i ( 7, 6) is iag of wrt y 0 i, 5 5 Now quation of B is (/ 5) 6 y 6 ( 7) (/ 5) 7 y 0 c a b ntroid, Its co-ordinat can not b zro 8 [a] Lt a b th lngth of sallst sid and d c th coon diffrnc n Now Sn [ a ( n ) d] n 5, S [a d] (i) a d 8 Th largst sid = 5th sid a d 0a (ii) pag 9

10 solv (i) and (ii) a 8, d 6 8 [a] 86 [b] d Rquird ara 8 [c] ( ) ( ) d '( ) tan cot 0 f ( ) ( ) f '( ) 6 6( ) f '( ) 0, If f ( ) has actly on local aiu and actly on local iniu, thn 8 [c] 85 [c] f a a tan cot, a a 0 D 0 a a 6 0 a a d t d dt t t t dt dt t ( ) t sc c 87 [c] Th void rlation on a st ar always sytric and transitiv rlation 88 [b] 89 [c] 0 [ ] [ ] 0, [ y] [ y],0 and [ z] [ z], Now, R R R, R R R [ ] [ y] [ z], thn 0 [ ] [ y] [ z] 0 0 ( for aiu valu, [ ],[ y] 0,[ z] ) For non-trivial solution pag 0

11 90 [c] lass f i f N 9, Mdian class (90 00), f 0 90, F 0, h 0 N F Mdian f h pag

12 IM - 09 ( prir institut for iit-j) JEE-MIN MOK TEST , GJNN SOIETY, MR-, JBLPUR (MP) Wbsit : wwwagcjabalpurin, Eail - agcjabalpur@gailco Ph : , ,

SAFE HANDS & IIT-ian's PACE EDT-15 (JEE) SOLUTIONS

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