AITS-FT-II-PCM-Sol.-JEE(Main)/7 In JEE Advanced 06, FIITJEE Students bag 6 in Top 00 AIR, 75 in Top 00 AIR, 8 in Top 500 AIR. 54 Students from Long Term Classroom/ Integrated School Program & 44 Students from All Programs have qualified in JEE Advanced, 06 FIITJEE JEE(Main) - 07 ALL INDIA TEST SERIES ANSWERS, HINTS & SOLUTIONS FULL TEST II (Main) Q. No. PHYSICS CHEMISTRY MATHEMATICS. C B C. D B B. B D B 4. D C B 5. B D A 6. B D D 7. A C C 8. A D D 9. A A A 0. D A A. D A B. C B C. B B B 4. C C D 5. D A B 6. C D C 7. A C A 8. B A A 9. A D C 0. C D B. A A A. D B C. D D B 4. D A A 5. A B D 6. C D B 7. B B D 8. B C C 9. A C A 0. D A B FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -006, Ph 4606000, 656949, Fax 6594
AITS-FT-II-PCM-Sol.-JEE(Main)/7 Physics PART I SECTION A. m.5 kg, F 80 0 N F m Applying, v u a s a 0 m / s, v 0, s 8 0 m u 0 8 0 u 4 4 m / s 6. When the ball is pressed by ' x ' V ax, for small ' x ' final volume V Bax P B V V d x Ba F P a x dt Vm 8. Ba, HenceT Vm Vm Ba V mv N mg, if car leaves the road N 0 R V g or v gr 0 m / s R. Fmax mg m A Fmax m g A 0 0 /, 800 40 0 m 400 0 kg Substituting the values we get Fmax 68N rod s A m. T A T T B T 5m P P FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -006, Ph 4606000, 656949, Fax 6594
AITS-FT-II-PCM-Sol.-JEE(Main)/7 Since 5m is stationary, T =5mg If the acceleration of the pulley P a ab a w. r. t. ground 5mg mg ma If aa/ P a, aa a a w. r. t. ground 0 mg mg m a a From equation a g Thus a g 0 m / s. Applying Bernoulli s theorem 5 40 Patm Patm v 5 80 v 0 8 m / s 0 6. From graphs, db A 80 0 dt 4 7 4 0 V 7 40 Also, I ma, R. m I 0 7. N PV k N N V dp NPV dv 0 Or VdP NP dv dp NP, also at P 0 Pa & V 4 0 m dv V dp 4 N.5 dv 4 4 5 5. Applying Moseley s Law z z 4. du B dv B dr B a r a r I Ir FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -006, Ph 4606000, 656949, Fax 6594
AITS-FT-II-PCM-Sol.-JEE(Main)/7 4 x I r du rdr 4 4 a a I r dr 4 0 I U 4 a 6 9. R R R Let the pole strength be ' m ' M m M mr, R ml M M FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -006, Ph 4606000, 656949, Fax 6594
5 AITS-FT-II-PCM-Sol.-JEE(Main)/7 Chemistry PART II SECTION A. I dil. OH I IO H O 4. Mg C H O Mg OH C H 5. Inert pair effect 4 6. a bonding C anti bording 8. b bonding D non bonding 89 T c 7Rb comes out to be more then 00 C option D is correct. H g Cl g HCl g H f B. E. of reactions B. E. of products 04 56 0 Kcal / mol 4 x 4 CxH y O xco H O Volume of CO 00 60 40ml molar ratio of CO : H O 40 : 60 : 0.. H. BO CH OH B OMe 5. SO + H H O + SO + (X) (Y) SO is a colourless gas with irritating smell. SO + K Cr O + H SO Cr (SO ) + K SO + H O 7 4 4 4 (Green) 7. Because Cr( VI) has d configuration hence d-d transition will not possible. 8. 7 d eg t g Total paired electron = Total pairing energy = P CFSE 0.8 0(or 8 Dq) P. T i k m f T f i k m f f.0054.9.86.00 Hence, no. of ions = 5 tg eg Pt NH Cl Pt NH Cl Cl 4 4 FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -006, Ph 4606000, 656949, Fax 6594
AITS-FT-II-PCM-Sol.-JEE(Main)/7 6 Mathematics PART III SECTION A. n A n B 0, 0 0 0 n AΔB 0. y 4 x x f x f 4. 5. Tn n n n Tn n n n n On solving nn K n n 8! 6!6!6! 7. f x 0 x x gof sin 0 0 sin 9. f x x f g x x cos f g 0 FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -006, Ph 4606000, 656949, Fax 6594
7 AITS-FT-II-PCM-Sol.-JEE(Main)/7. xy dy x y 0 dx dy y dx x x y y x x y 0 yy y x x x x x yy y x 4. p q 0 q p r q 0 r q p r q p p r r q r q p q q r r p 0 p q r P Q R 5. t x 8y 4t 0 tx t y t 0 t 8 4t t t t t 6. 7. 4 a a 0 a 0 a a a 4 4 0 0 0 a 4a 6 0 a I x x dx x x x x tan C FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -006, Ph 4606000, 656949, Fax 6594
AITS-FT-II-PCM-Sol.-JEE(Main)/7 8 x f x sin t dt 8. 9. / x f ' x sin x. sin x x x sin f ' sin sin x y 6 Area 5 xy dy y dx xy dx y dy dx x dy y y dx x dy y y 0. dy y I. F. e y x. y. ydy y xy ln y ke ln e k e n E C C C C C 4. 4 4 0 ns C 45 4 8 PE 45 5. x x 4 C 0 Cx Cx... C x Coeff of x in 7 7 7 x C C4 FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -006, Ph 4606000, 656949, Fax 6594
9 AITS-FT-II-PCM-Sol.-JEE(Main)/7 4., P x y 0 Q 6,7 x y 9 0 PQ 6 6 4 5. For two common tangents. r r C C r r r r 6 9 x C C 6 9 5 5 5 6 5 6. Slope of 7. C C t t PQ Ct Ct Slope of PQ t t Slope of RS t t 4 tt tt4 C 0 Slope of CP 4 Ct 0... t t t t 4 z z z z z z z z z z z z i e i /4 t z z i z z z z z z i z z i z z z z z z z z z B z A z / 4 C z FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -006, Ph 4606000, 656949, Fax 6594
AITS-FT-II-PCM-Sol.-JEE(Main)/7 0 CV V V x 0 5 6V 5V 0 5 5 9. a b c A abc G a b c A abc G 0. / abc G H H H ab bc ca ab bc ca b b c G ab bc ca H G x Ax x G 0 H FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -006, Ph 4606000, 656949, Fax 6594