JEE Main Question Paper 10 April 2023 Shift 1 (Available): Download Memory-based Questions PDF

JEE Main Question Paper 10 April 2023 Shift 1

JEE Main Question Paper 10 April 2023 Shift 1: Day 3 and Shift 1 of JEE Main 2023 was conducted on April 10, 2023 from 9 AM to 12 PM. The paper was rated to be moderate with Mathematics again being the toughest section. Students found Physics and Chemistry to be 'Easy to Moderate'. Physics was said to be formula-based and Chemistry was NCERT-based. Mathematics had application-based questions and although was said to be 'Moderate', it was also rated as very lengthy. The JEE Main Question Paper for 10 April 2023 Shift 1 (memory-based) can be checked here along with the detailed paper analysis.

JEE Main question paper comprises 3 sections viz., Mathematics, Chemistry and Physics. Each section consists of 25 questions with 4 marks each for every correct attempt. JEE Main 2023 April 10 exam memory-based questions are collected from different coaching institutes and students.

Reliable Kota JEE Main Question Paper 10 April 2023 Shift 1

Here are the question papers released by Reliable Kota for JEE Main 10 April 2023 Shift 1 exam. If you are looking for Shift 2 questions, click here - JEE Main Shift 2 Question Paper 10 April 2023

Resonance JEE Main Question Paper 10 April 2023 Shift 1

Narayana College JEE Main Question Paper 10 April 2023 Shift 1

Here are the question papers released by Narayana College for JEE Main 10 April 2023 Shift 1 exam:

JEE Main Question Paper 10 April 2023 Shift 1 PDF Download

The PDF of JEE Main 10 April 2023 Shift 1 question paper released by different coaching institutes will be updated here as and when available.

Also Read | JEE Main Answer Key 8 April 2023 Shift 1

Memory-based JEE Main Question Paper 10 April 2023 Shift 1

Shift 1 exam of JEE Main 2023 April 10 has concluded, and the memory-based questions have been added here.

Chemistry

1. Which of the following does not stabilize the secondary and tertiary proteins?
   i. H-H linkage
   ii. S-S linkage
   iii. Vanderwaal's forces
   iv. Hydrogen bonding
2. Which stabilizer is used for concentrating sulphuric ore?
3. Which of the following compounds is diamagnetic with low spin?
   i. [Co(NH ₃ ) ₆ ] ³⁺ , ii. [CoCl ₆ ] ^3- , iii. [CoF ₆ ] ^3- , iv. [Fe(H ₂ O) ₆ ] ³⁺
4. Which of the following compounds do not exist?
   i. BeCl ₂ , ii. NaO ₂ , iii. PbEt ₄ , iv. (NH ₄ ) ₂ B
5. At STP conditions, find out the number of molecules and moles in 2.8375 litres of O ₂ .
6. 2CO (g) + O ₂ (g) → 2CO ₂ (g) ; ΔH = -x kJ/mol
   C (graphite) + O ₂ (g) → CO ₂ (g) ; ΔH = -y kJ/mol
   Find ΔH for C (graphite) + 1/2O ₂ (g) → CO (g).
7. What will be the sum of the number of lone pairs in the central atom in IF ₅ and IF ₇ ?
8. Enthalpy of adsorption and enthalpy of formation of a micelle are respectively...
   i. Positive, Positive
   ii. Positive, Negative
   iii. Negative, Positive
   iv. Negative, Negative
9. Which of the following molecules are bent in shape?
   i. SO ₂ , ii. O ₃ , iii. I ₃ ^- , iv. N ^3-
10. The pressure value of a given gas is 930.2 mm Hg. Its volume is then reduced to 40% of its initial value at a constant temperature. Find out its final pressure (in mm Hg).
11. Why is the prolongated heating of ferrous ammonium sulphate avoided?
12. State whether the following statement(s) is/are correct/incorrect.
    Statement I: Potassium dichromate is used in volumetric analysis.
    Statement II: K ₂ Cr ₂ O, is more soluble in water than Na ₂ Cr ₂ O.
13. The degree of dissociation of monobasic acid is 0.3. By what per cent will the observed depression in the freezing point be greater than the calculated depression in the freezing point?
14. The pair of compounds from the following pairs having both the compounds with net zero dipole moment is:
    i. CH ₂ Cl ₂ : CHCI,
    ii. 1,4-dichlorobenzene; 1,3,5-trichlorobenzene
    iii. Benzene; P-Anisidine
    iv. Cis-dichloroethene; Trans-dichloroethene
15. A radioactive element C decays into A at t _1/2 = 30 minutes and into B at t _1/2 = 60 minutes. Calculate the overall half-life of C in minutes.
16. FeO ₄ ^2- → (at E ₁ ⁰ = +2.20 V) → Fe ³⁺ → (at E ₂ ⁰ = +0.77 V) → Fe ²⁺ → (at E ₃ ⁰ = -0.44 V) → Fe
    Calculate E ₄ ⁰ if it corresponds to the transition between FeO ₄ ^2- and Fe.
17. Match the following.
    Column 1:
    A. Dacron, B. Urea formaldehyde resin, C. Nylon-2, Nylon-6, D. Nylon-6,6
    Column 2:
    i. Thermosetting, ii. Biodegradable, iii. Polyester, iv. Used for making bristles of brushes
18. Find out I T ₁ - T ₂ l for a solution of 0.1 molal weak acid HA, if K _f of water = 1.86 K kg mol ^-1
    T ₁ = Freezing point of solution assuming no dissociation of acid
    T ₂ = Freezing point of solution assuming the degree of dissociation (α) = 0.3.
19. Mixture of A and B is added to a column containing an adsorbent for separation using a solvent. A is eluted first and B is eluted last. Then B has:
    i. High R, less adsorption
    ii. Low R, strongly adsorbed
    iii. High R, strong adsorption
    iv. Low R, weakly adsorbed
20. State whether the following statement(s) is/are correct/incorrect.
    Statement I: Reduction potential M ³⁺ /M ²⁺ is more for Fe than Mn.
    Statement II: V ²⁺ has a magnetic moment between 4.4 - 5.2 BM.
21. How many compounds can be easily prepared by Gabriel phthalimide synthesis, which on reaction with Hinsberg reagent produces a compound which is soluble in KOH?
22. Match the following.
    Column 1:
    A. Cotton mills, B. Paper mills, C. Fertilizer, D. Thermal power plant
    Column 2:
    i. Biodegradable waste, ii. Gypsum, iii. Non-biodegradable waste, iv. Fly ash

Physics

1. Find the equivalent capacitance across points A and B in the given electrical circuit. (diagram given)
2. A particle of mass m moving with a velocity v collides with a particle of mass 2m at rest and sticks to it. Find out the velocity of the combined mass.
3. If an object weighs 200 N at the surface of the earth, what will be its weight at a depth of R/2 where R is the radius of the earth?
4. The equation of progressive wave is y = 5 sin(6t + 0.03x). Find the speed of the wave.
5. A particle, when projected at 15° with the horizontal, has a range of 50 m. Find the range when it is projected at 45° with the horizontal.
6. If the earth shrinks to 1/64 times its initial volume, the time period of the rotation of the earth is found to be 24/x hrs. Find the value of x.
7. For an object radiating heat at 300K, the wavelength corresponding to the maximum intensity is λ. If the temperature of the body is further increased by 300K, what will be the new wavelength corresponding to the maximum intensity?
8. State, whether the following statement(s) is/, are correct/incorrect.
   Statement I: An LCR circuit connected to an AC source has the maximum average power at resonance.
   Statement II: A resistor-only circuit with zero phase difference has the maximum average power.
9. A monoatomic gas, initially at pressure P and volume V, is compressed to 1/8th of its volume adiabatically. What will be the final pressure of the gas?
10. What is the maximum percentage error in the measurement of quantity l , if it is given by l = (a ² b ³ )/(c√d)? Consider the percentage error in the calculation of a, b, c and d as 1%, 2%, 3% and 4% respectively.
11. A conducting rod of length 1 m is moved across a magnetic field of 0.15 T, with a constant speed of 4 m/s. Find the force (in N) on the rod.
12. If 10 resistors, each of 10 resistance, when connected together in all possible combinations give minimum equivalent resistance R ₁ and maximum equivalent resistance R _2, then find R ₂ /R ₁ .
13. For a given circuit (triangular in shape with 4 Ω resistances on its 2 sides and all 3 medians; the remaining side has a 16 Ω resistance), find the equivalent resistance across its ends. (diagram given)
14. In an AM wave, the amplitude of modulating wave = 3 units and the amplitude of the carrier wave = 15 units. Find the ratio of maximum to minimum intensity i.e., I _max /I _min .
15. An object is placed in front of a plane mirror 12 cm away from it. If the object is kept fixed while the plane mirror is shifted towards the object by a distance of 4 cm, then what will be the length of the shift in the position of the image in cm?
16. The equivalent resistance for a given circuit is x/7. Find x. (diagram given).
17. A radioactive nuclei x decays simultaneously into two nuclei: y and z. If the time taken for x decaying to given y is t _1/2 = 12 minutes and that of x decaying into z is t' _1/2 = 3 minutes, then find the time in which nuclei x decays 50%.
18. For a particle performing linear SHM, its position (x) as a function of time (t) is given by x = A sin(ωt + δ). Given that, at t = 0, the particle is at at + A/2 and is moving towards x = +A. Find δ.
19. The angular momentum of an e ^- in the first Bohr's orbit is L. What will be the change in angular momentum if it jumps into the second orbit?
20. Decay constant for a radioactive nuclide is given to be 2 x 10 ³ . If the molar mass of the sample is 60 gm, then find the activity of the 0.3µg sample in disintegration/seconds.
21. A point-sized object is placed 4 cm from the double convex lens of a focal length of 8 cm. Find the change in the position of the image when the object is moved 2 cm towards the lens.
22. A solenoid having 60 turns and a length of 15 cm produces a magnetic field of 2.4 x 10 ^-3 T, find the current in the solenoid.
23. Three concentric shells A, B and C have surface charge density σ, - σ and a respectively. The radius of A and B is 2 cm and 3 cm respectively. The electric potential at surface A is V _A and at C is Vc. If V _A = V _C , then find the radius of C in cm.
24. Two blocks of mass 2 kg and 1.14 kg are hung by steel and brass wires respectively as shown in the figure (diagram given). Find the change in the length of the steel wire if Y _steel = 2 x 10 ¹¹ N/m ² and Y _brass = 1 x 10 ¹⁰ N/m ² .

Mathematics

1. An AP series is given as 3, 8, 13, ..., 373. What will be the sum of terms which are not divisible by 3?
2. If the coefficient of x ⁷ in the expansion of (ax - 1/bx ² ) ¹³ is equal to the coefficient of x ^-5 in the expansion of (ax + 1/bx ² ) ¹³ , then find a ⁴ b ⁴ .
3. From a square of side 30cm, the squares of side x cm are cut off to make a cuboid of maximum volume. What will be the surface area of the cuboid with an open top?
4. Identify the negation of the statement (p V q) A ~ r.
5. Using the numbers 1, 2, 3, 4, 6, 6 and 7, find the total numbers of 7-digit numbers which do not contain a string of 154 or 2367. Rrepetition is not allowed.
6. Two dice are rolled and the sum of the numbers of two dice is N then the probability that 2 ^N < N! is m/n, where m and n are coprime, then find 11m – 3n.
7. If the slope of the tangent to a curve at a variable point is (x ² + y ² )/2xy and y(2) = 0, then find y(8).
8. 96 cos(π/33) cos(2π/33) cos(4π/33) ... cos(16π/33) = ?
9. If the order of matrix A is 3 x 3 and |A| = 2, then | 3 adj ( |3A| A ² ) | = ?
10. Find the number of integral values of x which satisfy the inequality x ² - 10x + 19 < 6.
11. Find the coefficient of x ⁷ in (1 - 2x + x ³ ) ¹⁰ .
12. Find the shortest distance between the lines:
    25(x + 1)/7 = (y + 1)/-6 = (z + 1)/1 and (x - 3)/1 = (y - 1)/-2 = (z - 7)/1
13. Let f be a differentiable function such that x ² f(x) - x = 4 ∫ ₀ ^x t f(t) dt. If f(1) = 2/3 then find 18 f(3).
14. If a ² + (ar) ² + (ar ² ) ² = 33033, (a,r E N), then find the value of a + ar + ar ² .
15. The mean of the following data is 26. Find the variance of the data.

    0 - 10	10 - 20	20 - 30	30 - 40	40 - 50
    5	2	5	x	6

16. If the number of ways in which mixed double badminton can be played such that no couples played into the same game is 840. Then find the number of players.

CollegeDekho JEE Main Question Paper 10 April 2023 Shift 1

Download here the PDF of the above questions:

Also Read |

Candidates appearing for the upcoming shifts of JEE Main April 2023 on April 11, 12, 13 and 15 can check the list of important formulas for each subject through the link below.

For the latest Education News , keep visiting CollegeDekho. You can also write to us at our E-Mail ID news@collegedekho.com.