JEE Main Question Paper 27 January 2024 Shift 1 (Available): Memory-based questions for all subejcts

JEE Main Question Paper 27 January 2024 Shift 1

JEE Main Question Paper 27 January 2024 Shift 1: The Shift 1 exam of JEE Main 2024 January 27 was conducted from 9 AM to 12 Noon. As per the reviews by the candidates, the JEE Main question paper 27 Jan 2024 was moderate and almost followed the difficulty pattern of the previous year. The Physics paper was easy to moderate and Chemistry was average, while Mathematics was on the tougher side with its difficulty level surpassing that of the previous year's average. For more details, please check: JEE Main 2024 January 27 Shift 1 Analysis .

The memory-based JEE Main question paper 2024 for 27 Jan, Day 1 and Shift 1, exam that includes Physics, Chemistry and Mathematics questions can be checked here. Candidates who are going to appear for the exam in upcoming shifts can check these questions to understand the topic-wise weightage and syllabus coverage. There is a chance for repetition of similar topics across all shifts of JEE Main January 2024. JEE Mains 2024 27 January difficulty level and solutions can also be checked here.

Questions asked in JEE Main 2024 January 27 Shift 1

JEE Main Physics Questions 27 January 2024 Shift 1

The memory-based questions for JEE Main 27 Jan 2024 Shift 1 Physics subject will be updated here:

1. In which of the following circuits, the diode is reverse-biased?
   i. +2V - PN Diode - 5 Ω - +4V
   ii. 0V - PN Diode - 3 Ω
   iii. +2V - PN Diode - 10 Ω
   iv. +2V - PN Diode - 2 Ω
2. A body of mass 1000 kg has a velocity of 6 m/s. If an extra 2000 kg mass is embedded in it, then what will be the velocity of the combined mass?
3. If the electron revolves in the 3rd Bohr's orbit of the Hydrogen sphere and has a radius R, then what will be its radius in the 4th orbit in terms of R?
4. A wire of length L and resistance R is cut into 5 equal parts and those parts are connected in parallel, then R _eq across it will be will be equivalent to?
5. 4 objects of mass 1 kg are kept on vertices of a square of side 2 metres and an axis is passing perpendicular to the plane through one of the vertices, then calculate the Moment of Inertia about this axis.
6. Two infinite current-carrying wires having current I in opposite directions are present 20 cm away from each other. Find the magnetic field in S.I units at the midpoint P.
7. If the diameter of the earth becomes half while keeping mass constant, then the acceleration due to gravity at the surface of the earth becomes?
8. Two masses m ₁ = 4 gm and m ₂ = 25 gm have the same kinetic energy, then find the ratio of linear momentum.
9. A charge Q=10 ^-6 C is placed at the origin. Find the potential difference between two points A and B whose position vectors are (√3i + √3j) m and √6j respectively.
10. Statement 1: Linear momentum and moment of force have the same dimensions.
    Statement 2: Planck's constant and angular momentum have the same dimension.
    i. Statement 1 is correct while statement 2 is false
    ii. Statement 1 is false while Statement 2 is correct
    iii. Both statements are correct
    iv. Both statements are false
11. A prism has a refractive index cot(A/2), where A is the refractive angle of the prism. The minimum deviation due to this prism is?
12. A particle performing simple harmonic motion is such that its amplitude is 4 m and the speed of the particle at the mean position is 10 m/s. Find the distance of the particle from the mean position where velocity becomes 5 m/s.
13. Find the charge on the capacitor in the given circuit at a steady state.
14. A particle has initial (t = 0) velocity 2 = 5î and is at origin at this instant. Its acceleration is given by (3î +4ĵ). When the particle's x-coordinate is 16 units, then its speed is?
15. A particle performing simple harmonic motion according to x = A sin ωt. Then its kinetic energy (KE), potential energy (PE) and speed (v) at position x = A/2 are?
16. What should be the elevation of the outer track of the train to move in a circular path of radius R? The Width of the track is w (<< R) and the speed of the train is v. Neglect friction.
17. Out of air and liquid, which substance is more viscous?
18. A metallic frame of a given dimension has an area vector at 60° with an external magnetic field B = 4T. The frame is taken out from the field in 10 seconds. Find the average EMF induced in the frame.
19. A ring has a uniformly distributed charge of 2πC and a radius of 3 cm. A charge of 10 ^-6 C is placed at the centre of the ring. Tension developed in the ring is 10 ^x N. Find x.
20. Two slabs of the same thickness of 6 cm each are placed on a table, over one another with Slab A having μ = 7/3 and Slab B having μ = 5/3. The apparent depth of the table surface is N cm. Find N. (Round off to nearest integer)

JEE Main Chemistry Questions 27 January 2024 Shift 1

The memory-based questions for JEE Main 27 Jan 2024 Shift 1 Chemistry subject will be updated here:

1. If SN ¹ is a racemisation reaction, then which of the following will be the correct reaction for SN ² ?
2. Which of the following does not show a variable oxidation state?
   i. Fluorine
   ii. Chlorine
   iii. Bromine
   iv. Iodine
3. Arrange the given compounds in order of their basic strength.
4. Which of the following compounds are polar?
   i. CC _l4
   ii. CH ₂ = CH2
   iii. CO ₂
   iv. CH ₃ Cl
5. Which of the following has the highest enol content?
6. Arrange the following compounds in order of their basic strength.
7. What is the correct IUPAC name of the following compound?
   
   i. 1 - ethyl - 3,3-dimethyl cyclohexane
   ii. 3 - ethyl -1,1-dimethyl cyclohexane
   iii. 1 - ethyl - 3,3-dimethyl cyclohexene
   iv. 3 - ethyl - 1,1-dimethyl cyclohexene
8. The compound (CH ₂ ) ₄ C ₂ H ₂ is:
   i. Alicyclic
   ii. Aromatic
   iii. Antiaromatic
   iv. Acyclic
9. In which of the following compounds, which central atom has +4 oxidation state?
   i. SO ₃
   ii. H ₂ SO ₃
   iii. H ₂ S ₂ O ₇
   iv. BaSO ₄
10. What is the electronic configuration of Neodymium (60) Nd?
11. Ethanol shows turbidity with Lucas reagent after going through which process?
12. Which type of linkage is present in nucleotide between base and sugar?
13. Find out the number of stereoisomers obtained when 3-methylhex-2-ene reacts with HBr in the presence of peroxide.
14. Among the following, the number of meta-directing groups is:
    -CN, -NO ₂ , -COOH, CH ₃ , -SO ₃ H, NH3 ⁺ , -F
15. Assertion: Boron is a Hard Element.
    Reason: Boron has an unusually high melting point due to its crystalline structure.
    i. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
    ii. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
    iii. A is true, R is not
    iv. R is true, A is not
16. PbCrO4 reacts in the presence of NaOH to give which complex?
    i. Dianionic with CN = 6
    ii. Dianionic with CN = 4
    iii. Neutral with CN = 4
    iv. Trianionic with CN = 6
17. Which of the following configurations has the strongest metallic bonding?
    i. [Ar]3d ⁷ 4s ²
    ii. [Ar]3d ⁵ 4s ¹
    iii. [Ar]3d ⁶ 4s ²
    iv. [Ar]3d ³ 4s ²
18. Assertion: All s-block Elements are found in Nature
    Reason: 4f and 5f Series Periodic table are kept below
    i. Assertion and Reason, both are true and Reason is correct explanation of Assertion
    ii. Assertion and Reason, both are true and Reason is not correct explanation of Assertion.
    iii. Assertion is True, but Reason is False.
    iv. Assertion is False but Reason is True
19. Find out the sum of bond orders of CO & NO ⁺ .
20. Calculate the mass of CH ₄ consumed for the formation of 22g CO ₂ .
21. Calculate the temperature (in K) at which the kinetic energy of monoatomic gaseous molecule is equal to 0.414 eV.
22. Which of the following is a complex with maximum spin angular momentum?
    i. [FeF ₆ ] ^3-
    ii. [Fe(CN) ₆ ] ^3-
    iii. [Fe(H ₂ O) ₆ ] ²⁺
    iv. [V(H ₂ O) ₆ ] ²⁺
23. A solution of two volatile components showing negative deviation from Raoult's law shows:
    i. A Decrease in vapour pressure, boiling point increases
    ii. Increase in vapour pressure, boiling point decreases
    iii. Decrease in vapour pressure, boiling point decreases
    iv. Increase in vapour pressure, boiling point increases
24. Calculate the number of electrons for which n = 4 and s = +1/2.

JEE Main Mathematics Questions 27 January 2024 Shift 1

The memory-based questions for JEE Main 27 Jan 2024 Shift 1 Maths subject will be updated here:

1. x ² /25 + y ² /16 = 1 is the given ellipse. Find the length of the chord whose midpoint is (1/2, 2/5).
2. Find p if:
   3 + (3 + p)/4 + (3 + 2p)/4 ² + ...∞ = 8
3. If a line L = 4x + 5y = 20 trisects two other lines L ₁ and L ₂ that pass through the origin, then find the tangent made by the line L.
4. If a = i + 2j + k, b = 3 (i - j + k), a • c (scalar product) = 3 and a x c (vector product) = b, then find
   a • ((c x b) - b - c).
5. The vertices of a triangle ABC are A(1,2), B(- 3, 4) and C(5,8), then the orthocentre of △ABC is?
6. S ₁ = 3,9,15, ... 25 terms and S ₂ = 3,8,13, … 37 terms, then the number of common terms in S ₁ , S ₂ is equal to?
7. The value of k for (2k, 3k), (0, 0), (1,0) and (0,1) to be on the circle is:
8. If ^n-1 C _r = (k ² - 8) ⁿ C _r+1 , then find k.
9. Shortest distance between the parabola y ² = 4x and x ² + y ² - 4x - 16y + 64 = 0 is equal to?
10. If cos 2x - a sin x = 2a - 7, then range of a is?
11. If S = { z : | z + i | = | z - i | = | z - 1 |, z ∈ C}, then the number of elements in Set S = ?
12. If α is a root of x ² + x + 1 = 0 satisfying ( 1 + α ) ⁷ = a + bα + cα ² , then the order triplet (a, b, c) is:
13. If f(x)= x ³ + 2x ² *f'(1) + x*f"(2) + f"'(3). The value of f'(10) is equal to?
14. A = {1,2,3,...,10}, S be the set of subsets of A and R = {(a,b): a, b ∈ S and a ∩ b ≠ Ø}. Then R is
15. The shortest distance between the lines is?
    (x - 1)/2 = (y + 1)/4 = (z - 1)/3 and (2x - 1)/5 = (y - 2)/3 = z/3

JEE Main Question Paper 27 January 2024 Shift 1 PDF

Download the JEE Main 2024 question paper by CollegeDekho for 27 January morning shift in PDF format here:

JEE Main Question Paper PDF 27 January 2024 Shift 1 by Coaching Institutes

The subject-wise memory-based questions from the top JEE Main coaching institutes for Day 1 Shift 1 will be updated as and when available:

The official JEE Main question paper 2024 for January 27 will be released in the form of a response sheet by the first week of February 2024. The result announcement will be made on February 12.

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