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IIT JEE (Advanced) 2020 : Paper 1 in Hindi (Solved with Answer Key)

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JEE (Advanced) 2020 Q.1 Paper 1 (plank) | ( > ) | , | , [ (schematic) ] (A) sin = Q.2 (B) tan = (C) sin = 2 (D) cos = 2 ( ) (disc) (axis) , | , (revolve) [ (schematic) ] (A) | (B) | (C) | _____________________________________________________________________________________________________________________________________ 1/12 JEE (Advanced) 2020 Paper 1 (D) | Q.3 20 ( ) ( ) 10 ( ) | | ( ) | - , | 50 , ( ( ) ) (A) (B) (C) (D) _____________________________________________________________________________________________________________________________________ 2/12 JEE (Advanced) 2020 Q.4 Paper 1 , , (resistance) | , , (vertical) | (capacitor), , | , , | | , (angular momentum) ( ) 2 (A) 2 (B) 2 (C) 2 2 (D) 4 2 _____________________________________________________________________________________________________________________________________ 3/12 JEE (Advanced) 2020 Q.5 Paper 1 , , | (emergent wavefront) [ (schematic) ; Air: ; Light: ; Glass: ] (A) Q.6 (B) (C) (D) U , , | 103 kg m 3 | U , 0.29 m | U 0.1 m , | 800 kg m 3 | ( 1 ) ____________ | 2 15 (A) 14 (B) 35 33 (C) 7 6 (D) 5 4 _____________________________________________________________________________________________________________________________________ 4/12 JEE (Advanced) 2020 Q.7 Paper 1 (potential energy) ( ) = | , - | (Bohr s Model) | , , v , ( ) (A) 1 3 2 3 3 2 2 2 1 3 (C) = 2 ( 4 2 ) (B) 2 3 1 3 2 2 2 1 3 (D) = 2 ( 4 2 ) _____________________________________________________________________________________________________________________________________ 5/12 JEE (Advanced) 2020 Q.8 Paper 1 (filament) 64 mm2 | 2500 K (black body) | 100 m | 3 mm | ( - = 5.67 10 8 Wm 2 K 4, = 2.90 10 3 m K, = 6.63 10 34 Js, c = 3.00 108 ms 1 ) (A) 642 645 | (B) 3.15 10 8 3.25 10 8 | (C) , , 1160 | (D) 1740 , 2.75 1011 2.85 1011 | Q.9 , | : [ ] = [ ]; [ ] = [ ]; [ ] = [ ]; [ ] = [ ]; [ ] = [ ] | (A) + = 2 (B) + = (C) + = (D) + + = _____________________________________________________________________________________________________________________________________ 6/12 JEE (Advanced) 2020 Q.10 Paper 1 , = 400 3 y NC 1 | , , 2 10 106 ms 1 | , 5 m T , (schematic) | = 1010 C kg 1, (A) 45o | (B) 30o 60o | 5 5 (C) 6 s 2 s | 5 (D) 3 s | _____________________________________________________________________________________________________________________________________ 7/12 JEE (Advanced) 2020 Q.11 Paper 1 , (resistivity) , 1 2 | 0 | , (transverse) , (kinetic effects) ( ) | [ (schematic) ] (A) = ln ( 2 ) 1 (B) | (C) | (D) 2 _____________________________________________________________________________________________________________________________________ 8/12 JEE (Advanced) 2020 Q.12 Paper 1 , (KMnO4 ) | 1 2 ( 1 > 2 ) , = ( 1 2 ) 1 | KMnO4 (diffusion) | | , | (viscous force) , | ( )2 , ( ) ( )? ( ) (A) | (B) 1 = ) (C) ( ) ( | (D) | _____________________________________________________________________________________________________________________________________ 9/12 JEE (Advanced) 2020 Q.13 Paper 1 (scale) 0.00 cm 90.00 cm | - , | | (50.00 cm) | | 0.40 0.32 , cm ___________________ | Q.14 | (flow) , , , (disk) , | | , - 103 kg m 3 , 0.07 Nm 1 10 ms 2 , mm ____________________ | _____________________________________________________________________________________________________________________________________ 10/12 JEE (Advanced) 2020 Q.15 Paper 1 (unstretched) (spring), - , - (0,0) (fixed) | - , , | | q , - (point dipole) - , ( ) | ( ) 1 | ____________________ | Q.16 1 1 | (isothermal) , 4 1 | , (adiabatic) 32 1 | | = ln2 , ___________________ | Q.17 (tunning fork), (pipe) (resonance) | , 2 ms 1 | | 320 m s 1 , ______________ | _____________________________________________________________________________________________________________________________________ 11/12 JEE (Advanced) 2020 Q.18 Paper 1 (disc), , ( ) = (1 ) , | , (enclose) , | , 4 , | ____________________ | END OF THE QUESTION PAPER _____________________________________________________________________________________________________________________________________ 12/12 JEE (Advanced) 2020 Q.1 Paper 1 , - ( , most probable,), (average), (root mean square) , ( Fraction of molecules: , speed: ), (A) 1 : 1 : 1 (C) 1 : 1.128 : 1.224 Q.2 , - (hydrolysis) O2 ? (A) Pb3O4 Q.3 (B) 1 : 1 : 1.224 (D) 1 : 1.128 : 1 (B) KO2 (C) Na2O2 (D) Li2O2 X Y (nitrates) | NaCl | (residue) P Q | P, (aq. NH3 ) (sodium thiosulphate) | Q KI | X Y, , , (A) Ag Pb (C) Cd Pb (B) Ag Cd (D) Cd Zn 1/8 JEE (Advanced) 2020 Q.4 Paper 1 (Newman projections) P, Q, R S | (identical) ? (A) P Q (C) Q R Q.5 (B) Q S (D) R S . . . . . (IUPAC) 3- -2- -4- -3- -5- (3-ethynyl-2-hydroxy-4-methylhex3-en-5-ynoic acid) ? (A) (B) (C) (D) 2/8 JEE (Advanced) 2020 Q.6 Paper 1 D- (D-Erythrose) (Fischer projection) | D- (isomers) P, Q, R, S -I (Column-I) | P, Q, R, S II (Column-II) D- | (Diastereomer , Identical , Enantiomer ) (A) P 2, Q 3, R 2, S 2 (C) P 2, Q 1, R 1, S 3 (B) P 3, Q 1, R 1, S 2 (D) P 2, Q 3, R 3, S 1 3/8 JEE (Advanced) 2020 Q.7 Paper 1 , , = ext . , , = ( 2) . , (A) (van der Waals) | (B) | (C) | (D) | Q.8 I-V ( ) | (A) (conjugate base) (delocalization) I | (B) IV (aromatic) | (C) II , NO2 | (D) ; I > IV > V > II > III 4/8 JEE (Advanced) 2020 Q.9 Paper 1 Q, R S | ( ) | Q.10 (A) S (B) Q (C) R (D) S ( ) | (A) [FeCl4 ] (tetrahedral) | (B) [Co(en)(NH3 )2 Cl2 ]+ 2 (geometrical isomers) | (C) [FeCl4 ] - (spin-only magnetic moment) [Co(en)(NH3 )2 Cl2 ]+ | (D) [Co(en)(NH3 )2 Cl2 ]+ (cobalt ion) (hybridization) s 3 2 | Q.11 , , (hypochlorite, chlorate and perchlorate ions) ( ), (A) (hypochlorite) (conjugate base) | (B) (chlorate) (Cl) | (C) (hypochlorite) (chlorate) (disproportionation) (identical set) | (D) (hypochlorite) , (sulfite) | 5/8 JEE (Advanced) 2020 Q.12 Paper 1 M X (cubic unit cell) | | ( ) | (A) (empirical formula) MX | (B) M X (coordination geometries) | (C) M-X 0.866 | (D) M X 0.414 | Q.13 0.10 M (oxalic acid) 5.00 mL (phenolphthalein) NaOH | NaOH | NaOH , , ? ( Exp. No.: , Vol. of NaOH: NaOH ) Exp. No. Vol. of NaOH (mL) 1 12.5 2 10.5 3 9.0 4 9.0 5 9.0 6/8 JEE (Advanced) 2020 Paper 1 Q.14 1000 K A B | 2000 K | A (partial pressure) 1 bar | B | 1000 K 2000 K (standard Gibbs energy) ? ( Partial Pressure of B: B , time: ) Q.15 (1 bar 298 K) , (fuel cell), 70% , | , 1 H2 ( ) + O2 ( ) H2 O ( ). 2 H2 ( ) 1.0 10 3 mol (monoatomic) 1.00 | (K ) ? - (standard reduction potentials) , O2 ( ) + 4H + ( ) + 4 2 H2 O ( ), 0 = 1.23 V, 2H + ( ) + 2 H2 ( ), 0 = 0.00 V . : = 96500 C mol 1 , = 8.314 J mol 1 K 1 . Q.16 , | 300 K 1.0 atm 5.4 g 50.0 mL 5.0 M (L) ? ( : = 27.0 g mol 1, = 0.082 atm L mol 1 K 1) 7/8 JEE (Advanced) 2020 Q.17 238 92U Paper 1 206 82Pb | (alpha) (beta) | 238 92U 68 10 6 g , (half-lives) 1018 206 82Pb | ? Q.18 P Q (intermediate) | ( conc.: , A colourful compound: ) Q (degree of unsaturation) ? END OF THE QUESTION PAPER 8/8 JEE (Advanced) 2020 Q.1 Paper 1 , (quadratic polynomial) 2 + 20 2020 (distinct real roots) , , 2 20 + 2020 (distinct complex roots) | ( ) + ( ) + ( ) + ( ) (A) 0 Q.2 (B) 8000 (C) 8080 (D) 16000 (function) : ( ) = | |( sin ) , ? (A) (one-one) , (onto) (B) , (C) (D) Q.3 (functions) : : ( ) = 1 | 1| ( ) = 1 1 ( + 1 ) 2 | (first quadrant) (curves) = ( ), = ( ) = 0 (bounded region) (area) 1 (B) (2 + 3) + ( 1 ) 2 1 (D) (2 + 3) + 2 ( + 1 ) (A) (2 3) + ( 1 ) 2 (C) (2 3) + 2 ( + 1 ) 1 1 _____________________________________________________________________________________________________________________________________ 1/7 JEE (Advanced) 2020 Q.4 Paper 1 , (positive real numbers) | (parabola) 2 = 4 (latus rectum) (end point) , 2 2 (ellipse) 2 + 2 = 1 | (tangents) (perpendicular) , (eccentricity) (A) Q.5 1 2 (B) 1 2 1 3 (C) (D) 2 5 (biased coins) 1 2 (single toss) 2 3 (head) (probabilities) 1 3 | 1 (independently) , 2 | (quadratic polynomial) 2 + (roots) (real) (equal) (probability) (A) Q.6 40 81 (B) 20 81 (C) 1 2 (D) 1 4 (rectangles) (region) {( , ) 0 0 2 sin(2 )} 2 - ( -axis) | (maximum perimeter) (area) (A) 3 2 (B) (C) 2 3 (D) 3 2 _____________________________________________________________________________________________________________________________________ 2/7 JEE (Advanced) 2020 Q.7 Paper 1 (function) : ( ) = 3 2 + ( 1) sin , : (arbitrary function) | : (product function) ( )( ) = ( ) ( ) | ( ) ( )? (A) = 1 (continuous) , = 1 (differentiable) (B) = 1 , = 1 (C) = 1 , = 1 (D) = 1 , = 1 _____________________________________________________________________________________________________________________________________ 3/7 JEE (Advanced) 2020 Q.8 Paper 1 (real numbers) 3 3 (invertible matrix) 3 3 (identity matrix) | 1 = adj (adj ) , ( ) ( )? (A) = Q.9 (C) 2 = (B) det = 1 (D) (adj )2 = (complex numbers) (set) | 2 + + 1| = 1 | ( ) ( )? 1 1 (A) , | + 2| 2 (B) , | | 2 1 1 (C) , | + | 2 2 (D) (exactly four elements) Q.10 , (positive real numbers) | (triangle) (angles) , (opposite sides) , | tan 2 + tan = 2 2 + + , ( ) ( )? (A) 2 = + X (C) tan 2 = + (B) = + (D) 2 + 2 2 = _____________________________________________________________________________________________________________________________________ 4/7 JEE (Advanced) 2020 Q.11 Paper 1 1 2 (straight lines) | 1 : 1 1 = = 1 1 3 2 : 1 1 = = . 3 1 1 : 1 = = 2 1 2 (plane) , 1 2 (point of intersection) | , 1 2 (acute angle) (bisect) , ( ) ( )? (A) = 3 Q.12 (B) + = 2 (C) = 1 (D) + = 0 (inequalities) ( )? 1 3 (A) 0 cos 8 1 1 (C) 0 2 cos 2 1 3 1 2 (B) 0 sin 10 (D) 0 2 sin 9 _____________________________________________________________________________________________________________________________________ 5/7 JEE (Advanced) 2020 Q.13 Paper 1 log 3 (3 1 + 3 2 + 3 3 ) (minimum possible value) , 1 , 2 , 3 (real numbers) (log 3 1 + log 3 2 + log 3 3 ) 1 + 2 + 3 = 9 | (maximum possible value) , 1 , 2 , 3 (positive real numbers) 1 + 2 + 3 = 9 | log 2( 3 ) + log 3 ( 2 ) _____ Q.14 (sequence of positive integers) 1 , 2 , 3 , (arithmetic progression) (common difference) 2 | , 1 , 2 , 3 , (geometric progression) (common ratio) 2 | 1 = 1 = , , (equality) 2( 1 + 2 + + ) = 1 + 2 + + , _____ Q.15 (function) : [0, 2] ( ) = ( 3 sin(2 )) sin ( ) sin (3 + ) 4 4 | , [0, 2] { [0, 2] ( ) 0} = [ , ], _____ Q.16 = (triangle) = , = | | | = 3, | | = 4 | | ( ) = ( ) | | + | | 2 , | | _____ _____________________________________________________________________________________________________________________________________ 6/7 JEE (Advanced) 2020 Q.17 Paper 1 (real coefficients) (polynomial) ( ) , ( ) (number of distinct real roots) | (set) = {( 2 1)2 ( 0 + 1 + 2 2 + 3 3 ) 0 , 1 , 2 , 3 } | (first and second order derivatives) | ( + ), , (minimum possible value) _____ Q.18 (base of natural logarithm) | (right hand limit) 1 (1 ) 1 lim+ 0 (nonzero real number) , _____ END OF THE QUESTION PAPER _____________________________________________________________________________________________________________________________________ 7/7

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