Practice Questions

Q49.Three conductors of same length having thermal conductivity k1, k2 and k3 are connected as shown in figure. Area of cross sections of 1st and 2nd conductor are same and for 3rd conductor it is double of the 1st conductor. The temperatures are given in the figure. In steady state condition, the value of θ is _______ ∘C. (Given : k1 = 60Js−1 m−1 K−1, k2 = 120Js−1 m−1 K−1, k3 = 135Js−1 m−1 K−1 ) ∣ ∣∣ 2025 (22 Jan Shift 1) JEE Main Previous Year Paper

Q49.Two cars P and Q are moving on a road in the same direction. Accleration of car P increases linearly with time whereas car Q moves with a constant accleration. Both cars cross each other at time t = 0, for the first time. The maximum possible number of crossing(s) (including the crossing at t = 0) is ________.

Q49.An ideal gas initially at 0∘C temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is 3/2, the change in temperature due to the thermodynamic process is _____ K.

Q50.A physical quantity Q is related to four observables a, b, c, d as follows : Q = ab4cd where, a = (60 ± 3)Pa; b = (20 ± 0.1)m; c = (40 ± 0.2)Nsm−2 and d = (50 ± 0.1)m , then the percentage error in Q is x , where x = ________ . 1000

Q50.The moment of inertia of a solid disc rotating along its diameter is 2.5 times higher than the moment of inertia of a ring rotating in similar way. The moment of inertia of a solid sphere which has same radius as the disc and rotating in similar way, is n times higher than the moment of inertia of the given ring. Here, $\mathrm{n}=_________ Consider all the bodies have equal masses.

Q50.The volume contraction of a solid copper cube of edge length 10 cm , when subjected to a hydraulic pressure of 7 × 106 Pa, would be ____ mm3 . (Given bulk modulus of copper = 1.4 × 1011 N m−2 )

Q50.The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in the boat throws a ball vertically upwards with speed of 10 m/s. Range of the ball as observed by an observer at rest on the river bank, is _______ cm. (Take g = 10 m/s2 )

Q50.Two long parallel wires X and Y , separated by a distance of 6 cm , carry currents of 5A and 4A, respectively, in opposite directions as shown in the figure. Magnitude of the resultant magnetic field at point P at a distance 2025 (22 Jan Shift 2) JEE Main Previous Year Paper of 4 cm from wire Y is x × 10−5 T. The value of x is__________ . Take permeability of free space as μ0 = 4π × 10−7SI units.

Q50.At steady state the charge on the capacitor, as shown in the circuit below, is μC.

Q50.A particle is projected at an angle of 30∘ from horizontal at a speed of 60 m/s. The height traversed by the particle in the first second is h0 and height traversed in the last second, before it reaches the maximum height, is h1 . The ratio h0 : h1 is _________ [Take, g = 10 m/s2 ]

Q51.Given below are two statements: Statement I: Fructose does not contain an aldehydic group but still reduces Tollen's reagent Statement II: In the presence of base, fructose undergoes rearrangement to give glucose. In the light of the above statements, choose the correct answer from the options given below (1) Both Statement I and Statement II are true (2) Both Statement I and Statement II are false (3) Statement I is true but Statement II is false (4) Statement I is true but Statement II is false

Q51.The carbohydrate "Ribose" present in DNA, is A. A pentose sugar B. present in pyranose from C. in "D" configuration D. a reducing sugar, when free E. in ∝-anomeric form Choose the correct answer from the 2025 (24 Jan Shift 1) JEE Main Previous Year Paper options given below: (1) A, D and E Only (2) A, C and D Only (3) A, B and E Only (4) B, D and E Only

Q51.Identify the products [A] and [B], respectively in the following reaction : 2025 (23 Jan Shift 2) JEE Main Previous Year Paper (1) (2) (3) (4) −−

Q51.Consider the equilibrium CO( g) + 3H2( g) ⇌CH4( g) + H2O( g) If the pressure applied over the system increases by two fold at constant temperature then (A) Concentration of reactants and products increases. (B) Equilibrium will shift in forward direction. (C) Equilibrium constant increases since concentration of products increases. (D) Equilibrium constant remains unchanged as concentration of reactants and products remain same. Choose the correct answer from the options given below : (1) (A), (B) and (C) only (2) (A) and (B) only (3) (A), (B) and (D) only (4) (B) and (C) only

Q51.Given below are two statements : Statement (I) : Nitrogen, sulphur, halogen and phosphorus present in an organic compound are detected by Lassaigne's Test. Statement (II) : The elements present in the compound are converted from covalent form into ionic form by fusing the compound with Magnesium in Lassaigne's test. In the light of the above statements, choose the correct anower from the options given below : (1) Statement I is false but Statement II is true (2) Both Statement I and Statement II are true (3) Both Statement I and Statement II are false (4) Statement I is true but Statement II is false

Q51. List - I List - II (Complex) (Hybridisation & Magnetic characters) (A) [MnBr4]2− (I) d2s3 & diamagnetic Match List - I with List - II. (B) [FeF6]3− (II) sp3 d2 & paramagnetic (C) [Co(C2O4)3]3− (III) sp3 & diamagnetic (D) [Ni(CO)4] (IV) sp3 & paramagnetic Choose the correct answer from the options given below : (1) (A) −(IV), (B) −(II), (C) −(I), (D) −(III) (2) (A) −(III), (B) −(I), (C) −(II), (D) −(IV) (3) (A) −(IV), (B) −(I), (C) −(II), (D) −(III) (4) (A) −(III), (B) −(II), (C) −(I), (D) −(IV)

Q51.Given below are two statements: Statement I : D-glucose pentaacetate reacts with 2, 4-dinitrophenylhydrazine Statement II : Starch, on heating with concentrated sulfuric acid at 100∘C and 2-3 atmosphere pressure produces glucose. In the light of the above statements, choose the correct answer from the options given below 2025 (28 Jan Shift 1) JEE Main Previous Year Paper (1) Statement I is false but Statement II is true (2) Both Statement I and Statement II are false (3) Both Statement I and Statement II are true (4) Statement I is true but Statement II is false

Q52.Drug X becomes ineffective after 50% decomposition. The original concentration of drug in a bottle was 16mg/mL which becomes 4mg/mL in 12 months. The expiry time of the drug in months is __________ Assume that the decomposition of the drug follows first order kinetics. (1) 2 (2) 6 (3) 12 (4) 3

Q52.Consider the following reactions K2Cr2O7 KOH→ [A] H2SO4→ [ B] + K2SO4 The products [A] and [B], −H2O −H2O respectively are : (1) K2CrO4 and CrO (2) K2CrO4 and Cr2O3 (3) K2CrO4 and K2Cr2O7 (4) K2Cr(OH)6 and Cr2O3

Q52.Given below are two statements: Statement I: The conversion proceeds well in the less polar medium. HO− −CH3 −CH2 −CH2 −CH2 −Cl → CH3 −CH2 −CH2 −CH2 −OH + Cl(−) Statement II: The conversion proceeds well in the more polar medium. In the light of the above statements, choose the correct answer from the options given below (1) Both Statement I and Statement II are true (2) Statement I is true but Statement II is false (3) Statement I is false but Statement II is true (4) Both Statement I and Statement II are false

Q52.J of energy is transferred as heat to 0.5 mol of Argon gas at 298 K and 1.00 atm. The final temperature and the change in internal energy respectively are: Given : R = 8.3 J K−1 mol−1 (1) 378 K and 500 J (2) 368 K and 500 J (3) 348 K and 300 J (4) 378 K and 300 J

Q52.Match List - I with List - II. Choose the correct answer from the options given below : (1) (A) −(III), (B) −(I), (C) −(IV), (D) −(II) (2) (A) −(III), (B) −(I), (C) −(II), (D) −(IV) (3) (A) −(IV), (B) −(II), (C) −(III), (D) −(I) (4) (A) −(II), (B) −(IV), (C) −(I), (D) −(III)

Q52. Given below are two statements : Statement (I) : are isomeric compounds.Statement (II) : are functional group isomers. (1) Both Statement (I) and Statement (II) are false. (2) Both Statement (I) and Statement (II) are true. (3) Statement (I) is false but Statement (II) is true. (4) Statement (I) is true but Statement (II) is false. 2025 (28 Jan Shift 2) JEE Main Previous Year Paper

Q52.The incorrect statements regarding geometrical isomerism are : (A) Propene shows geometrical isomerism. (B) Trans isomer has identical atoms/groups on the opposite sides of the double bond. (C) Cis-but-2-ene has higher dipole moment than trans-but-2-ene. (D) 2-methylbut-2-ene shows two geometrical isomers. (E) Trans-isomer has lower melting point than cis isomer. Choose the correct answer from the options given below : (1) (A) and (E) Only (2) (A), (D) and (E) Only (3) (B) and (C) Only (4) (C), (D) and (E) Only

Q52.Both acetaldehyde and acetone (individually) undergo which of the following reactions? A. Iodoform Reaction B. Cannizaro Reaction C. Aldol Condensation D. Tollen's Test E. Clemmensen Reduction Choose the correct answer from the options given below: (1) A, B and D Only (2) C and E Only (3) A, C and E Only (4) B, C and D Only