JEE Main 2024 April 5 Questions Live Updates: Day 2 exam concluded, download paper
JEE Main 2024 April 5 questions will be updated here after the conclusion of Shift 1 and 2 exams. Meanwhile, the candidates can check Day 1 questions and important model questions here.
JEE Main 2024 April 5 Questions: The National Testing Agency will conduct the JEE Main 2024 Session 2 Day 2 exam on April 5. The Paper on Day 1 was 'Moderate', and a similar difficulty level can be expected on Day 2 as well. As the mode of the JEE Mains exam 2024 is computer-based, JEE Main 2024 April 5 questions collected from test takers for Shift 1 and 2 will be made available here. These questions shall help the candidates of upcoming shifts to plan their last-minute preparation accordingly. Along with the memory-based JEE Main 5 April 2024 questions, the candidates can also check JEE Main 2024 April 4 questions and important model questions/ practice questions to enhance their accuracy in solving the questions. The candidates can meanwhile check the live blog below for model questions, exam day instructions, and more.
Also read |Expected JEE Main Percentile Score 2024 Session 2
Today's (April 5) JEE Main Question Paper 2024
Here are the links for today's JEE Mains question paper 2024 -Previous Day's JEE Mains Question Paper
Here are the links for previous day's (April 4) JEE Mains question paper 2024| Links |
| JEE Main 2024 April 4 Question Paper with Answer Key Shift 1 |
| JEE Main Shift 2 Question Paper with Answer Key 4 April 2024 |
Students appearing for JEE Main April 2024 from April 5 to 9 must note that they need to carry the admit card and a valid ID proof on the exam viz., Aadhaar Card/ Driving License/ Ration Card/ Passport. Biometric attendance will also be recorded at the exam centre.
Also read | Expected JEE Main Percentile Rank 2024
JEE Main 2024 April 5 Questions Live Updates
Apr 05, 2024 06:30 PM IST
JEE Main 5 April 2024 Mathematics Question 14
If three vectors are:
a = 3i + j - 2k
b = 4i + j + 7k
c = i - 3j + 4k
If p is a vector such that p x b = c x b and p·a = 0, then find p·(i - j - k).Apr 05, 2024 06:20 PM IST
JEE Main 2024 April 5 Chemistry Question 14
On which of the following factors does the electrical conductivity of an electrolytic cell does not depend?
i. Concentration of electrolyte
ii. Amount of electrolyte added
iii. Temperature
iv. Nature of electrodeApr 05, 2024 06:10 PM IST
JEE Main 2024 April 5 Question 14 for Physics
A pulley is placed on top of a triangular surface such that it forms 53° and 37° with the horizontal. The pulley carries two blocks of masses M and m on the 53° incline and 37° incline respectively. If M = 10 kg has an acceleration of 2 m/s2 in the direction of the 53° incline plane, then find the mass m.
Apr 05, 2024 06:00 PM IST
JEE Main 2024 Question April 5: Mathematics Model Question 13
An urn contains 15 red, 10 white, 60 orange, and 15 green balls. If 2 balls are taken with replacement, find the probability 1 ball is red and the other ball is white.
Apr 05, 2024 05:50 PM IST
JEE Main 5 April 2024 Chemistry Model Question 13
How many of the following compounds have sp3 hybridized central atom?
H2O, NH3, SiO2, SO2, CO and BF3Apr 05, 2024 05:40 PM IST
JEE Main 2024 April 5 Physics Model Question 13
The mass defect in a nuclear reaction is 0.4 u. If the Q value of the reaction is x/10 MeV, then find x. (Take 1 u = 930.5 MeV/c2)
Apr 05, 2024 05:30 PM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 13
If one of the diameters of the circle x2 + y2 - 10x + 4y + 13 = 0 is a chord of another circle and whose centre is the point of intersection of the lines 2x + 3y = 12 and 3x - 2y = 5. then the radius of the circle is?
Apr 05, 2024 05:20 PM IST
JEE Main 5 April 2024 Chemistry Exam Question 13
Which of the following options contain amphoteric oxide(s) only?
i. SnO2 and SiO
ii. SiO2
iii. SnO2 and PbO2
iv. CO and SiOApr 05, 2024 05:10 PM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 13
If two charges Q and 3Q are kept in a line separated by a distance R, the electric field is zero at a distance x from origin O. Find the value of x.
Apr 05, 2024 05:00 PM IST
JEE Main 5 April 2024 Mathematics Question 13
[ 1 / ( 1 - 3 (1)2 + 14 ) ] + [ 2 / ( 2 - 3 (2)2 + 24 ) ] + [ 3 / ( 3 - 3 (3)2 + 34 ) ] + ... (up to n = 10) = ?
Apr 05, 2024 04:50 PM IST
JEE Main 2024 April 5 Chemistry Question 13
Find out the final product C for the reaction:
CH3–CH2–CH2–Br → (in presence of alcoholic KOH, heat) → Product A
Product A → (in presence of HBr) → Product B
Product B → (in presence of aqueous KOH) → Product CApr 05, 2024 04:40 PM IST
JEE Main 2024 April 5 Question 13 for Physics
Find A and B if:
C6H6–NH2 → (reacts with A) → C6H6–N2+ → (reacts with B) → Orange-Red PrecipitateApr 05, 2024 04:30 PM IST
JEE Main 2024 Question April 5: Mathematics Model Question 12
A set R = {1, 2, 3, 4} is given then find the number of symmetric relation which are not reflexive relation.s of attempting these questions are
Apr 05, 2024 04:20 PM IST
JEE Main 5 April 2024 Chemistry Model Question 12
Based on the given carbocation find the correct order of stability (CH3)3C+, (CH3)2CH+, CH3CH2+, CH3+
Apr 05, 2024 04:10 PM IST
JEE Main 2024 April 5 Physics Model Question 12
Find A and B if:
CH3 – C ≡ CH → (reacts with Na) → Product A → (reacts with B) → CH3 – C ≡ C – CH2 – CH2 – CH3Apr 05, 2024 04:00 PM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 12
z1985 + z100 + 1 = 0 and z3 + 2z2 + 2z + 1 = 0 then number of common roots of equation is:
Apr 05, 2024 03:50 PM IST
JEE Main 5 April 2024 Chemistry Exam Question 12
Among the given options Which of the following solutions will have the lowest freezing point (i. 180 g of glucose in 1 L solution, ii. 180 g of sucrose in 1 L solution, iii. 180 g of benzoic acid in 1 L solution, iv. 180g of CH3COOH in 1 L solution)
Apr 05, 2024 03:40 PM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 12
Assertion (A): From N to P covalent radius increases significantly, but from As to Bi, only a small increase is observed.
Reason (R): For a particular oxidation state, covalent radii and ionic radii increase down the group.
i. Both (A) and (R) are correct and (R) is the correct explanation of (A).
ii. Both (A) and (R) are correct but (R) is not the correct explanation of (A).
iii. (A) is correct but (R) is incorrect.
iv. (A) is incorrect but (R) is correct.Among the given options Which of the following solutions will have the lowest freezing point (i. 180 g of glucose in 1 L solution, ii. 180 g of sucrose in 1 L solution, iii. 180 g of benzoic acid in 1 L solution, iv. 180g of CH3COOH in 1 L solution)Apr 05, 2024 03:30 PM IST
JEE Main 5 April 2024 Mathematics Question 12
If 1st term of a GP is ‘a’ and 3rd term is ‘b’ and in 2nd GP 1st term is ‘a’ and 5th term is ‘b’ and 11th term of 1st GP common to which term of 2nd GP
Apr 05, 2024 03:20 PM IST
JEE Main 2024 April 5 Chemistry Question 12
What is the reason behind the KMnO4 displaying colour?
Apr 05, 2024 03:10 PM IST
JEE Main 2024 April 5 Question 12 for Physics
The Ksp of Mg(OH)2 is 1 x 10-12. Find the limiting pH at 25 °C at which 0.01 M Mg2+ ions will precipitate.
Apr 05, 2024 03:00 PM IST
JEE Main 2024 Question April 5: Mathematics Model Question 11
If x2 - y2 + 2hxy + 2gx + 2fy + c = 0 is the locus of points such that it is equidistance from the lines x + 2y - 8 = 0 and 2x + y + 7 = 0 then the value of h + g + f + c is
Apr 05, 2024 02:50 PM IST
JEE Main 5 April 2024 Chemistry Model Question 11
If a 250 mL solution of CH3COONa of molarity 0.35 M is to be prepared, what is the mass of CH3COONa required in grams? Round off the answer to the nearest integer.
Apr 05, 2024 02:40 PM IST
JEE Main 2024 April 5 Physics Model Question 11
The electric field in an electromagnetic wave is moving in a free space given as E = E0 sin(ωt – kz)i. What will be the corresponding magnetic field?
Apr 05, 2024 02:30 PM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 11
Bag A contains 7 white balls & 3 red balls. Bag B contains 3 white balls & 2 red balls. A ball is chosen randomly & found to be red then find the probability that it is taken from bag A.
Apr 05, 2024 02:20 PM IST
JEE Main 5 April 2024 Chemistry Exam Question 11
Match the following:
Column I: i. BrF5, ii. H2O, iii. ClF3, iv. SF4
Column II: a. Sea-Saw, b. T-Shape, c. Bent, d. Square PyramidalApr 05, 2024 02:10 PM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 11
A long wire carrying current √2A is placed in the uniform magnetic field of 3 x10-5 T. If the magnetic field is perpendicular to the wire, find the magnetic force on a unit length of wire.
Apr 05, 2024 02:00 PM IST
JEE Main 5 April 2024 Mathematics Question 11
Set A = {1, 2, 3, 4, 5, 6,7}
If the number of functions from Set A to Power Set A can be expressed as mn (where m is the least integer), the find m + n.Apr 05, 2024 01:50 PM IST
JEE Main 2024 April 5 Chemistry Question 11
The number of atoms in a silver plate having an area of 0.05 cm2 and a thickness of 0.05 cm is m x 1019. If the density of silver is 7.9 g/cm3, find the value of m.
Apr 05, 2024 01:40 PM IST
JEE Main 2024 April 5 Question 11 for Physics
A uniform disc of mass 5 kg and radius 2 m is rotating with an angular velocity of 10 rad/s. Now another identical disc is gently placed on the first disc. Because of the friction, both discs acquire a common angular velocity. What is the loss of kinetic energy in the process?
Apr 05, 2024 01:30 PM IST
JEE Main 2024 Question April 5: Mathematics Model Question 10
In a class, there are 40 students.
16 students passed in Chemistry.
20 students passed in Physics.
25 students passed in Maths.
15 students passed in both Math and Physics.
15 students passed in both Math and Chemistry
10 students passed in both Physics and Chemistry.
Find the maximum number of students that passed in all the subjects.Apr 05, 2024 01:20 PM IST
JEE Main 5 April 2024 Chemistry Model Question 10
What is the geometry of Aluminium chloride in an aqueous solution?
i. Square planar
ii. Octahedral
iii. Tetrahedral
iv. Square pyramidalApr 05, 2024 01:10 PM IST
JEE Main 2024 April 5 Physics Model Question 10
A particle is undergoing uniform acceleration. If its displacement from the tth to (t + 1)th second is 120 m and the change in velocity is 50 m/s. Find its displacement in metre in the (t + 2)th second.
Apr 05, 2024 01:00 PM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 10
Find the number of integral terms in the binomial expansion:
( 71/2 + 111/6 )824Apr 05, 2024 11:50 AM IST
JEE Main April 5 Question Paper 2024: Chemistry Important Question 10
Statement I: For hydrogen atoms, 3p and 3d are degenerate.
Statement II: Degenerate orbitals have the same energy.
i. Both statements I and II are correct.
ii. Both statements I and II are incorrect.
iii. Statement I is correct and statement II is incorrect.
iv. Statement I is incorrect and statement Il is correct.Apr 05, 2024 11:40 AM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 10
A block of mass 2 kg is placed on a disc that is rotating at a constant angular velocity of 4 rad/sec. Find the friction force in (N) between the block and disc if the block is not sliding.
Apr 05, 2024 11:30 AM IST
JEE Main 5 April 2024 Mathematics Question 10
If |a| = 1, |b| = 4, a · b = 2, and c = 2(a x b) - 3b, then what is the angle between b and c?
Apr 05, 2024 11:20 AM IST
JEE Main 2024 April 5 Chemistry Question 10
Identify the correct structure for the compound named "3-Methylpent-2-enal" as per IUPAC nomenclature.
Apr 05, 2024 11:10 AM IST
JEE Main 2024 April 5 Question 10 for Physics
The electric potential due to the short electric dipole on the axial position at distance r from the dipole is proportional to ...? (Assume: r >> length of the dipole)
Apr 05, 2024 11:00 AM IST
JEE Main 2024 Question April 5: Mathematics Model Question 9
For a non-zero complex number z satisfying z2 + iz̄ = 0, then value of |z|2 is?
Apr 05, 2024 10:50 AM IST
JEE Main 5 April 2024 Chemistry Model Question 9
Find the final product when C6H6–Br reacts with i. Mg, Dry Ether, ii. CO2, H+, iii. NH3, heat, and iv. Br2, KOH
Apr 05, 2024 10:40 AM IST
JEE Main 2024 April 5 Physics Model Question 9
A ball released from a height of 10 m strikes the ground and rebounds to a height of 5 m. Find the impulse imparted by the ground during collision. It is given that the mass of the ball is 100 g and g = 10 m/s2.
Apr 05, 2024 10:30 AM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 9
A line passes through (9,0), making angle 30° with positive direction of x-axis. It is rotated byangle of 15° with respect to (9,0). Find the equation of the new line.
Apr 05, 2024 10:20 AM IST
JEE Main April 5 Question Paper 2024: Chemistry Important Question 9
Identify the halogen which has allylic halogen. (A diagrammatic representation of compounds was given).
Apr 05, 2024 10:10 AM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 9
Find the current through the Zener diode if its breakdown voltage is 5 V. (Diagram was given.)
Apr 05, 2024 10:00 AM IST
JEE Main 5 April 2024 Mathematics Question 9
The domain of y = cos-1 | ( ( 2 - | x | ) / 4 ) | + log ( 3 - x )-1 is [ α, β) - {γ}, then find α + β + γ.
Apr 05, 2024 09:50 AM IST
JEE Main 2024 April 5 Chemistry Question 9
Which of the following sets contain both diamagnetic ions?
i. Ni2+, Cu2+
ii. Eu3+, Gd3+
iii. Cu+, Zn2+
iv. Ce4+, Pm3+Apr 05, 2024 09:40 AM IST
JEE Main 2024 April 5 Question 9 for Physics
A ball is released from a height of 1 m on a fixed smooth hemispherical surface. Find its velocity when it is at a height of 0.5 m from the ground. Take g = 10 m/s2.
Apr 05, 2024 09:30 AM IST
JEE Main 2024 Question April 5: Mathematics Model Question 8
Find the eccentricity of an ellipse whose length of the minor axis is equal to half of the length between foci.
Apr 05, 2024 09:20 AM IST
JEE Main 5 April 2024 Chemistry Model Question 8
Which of the given compounds will not give the Fehling test?
i. Lactose
ii. Maltose
iii. Sucrose
iv. GlucoseApr 05, 2024 09:10 AM IST
JEE Main 2024 April 5 Physics Model Question 8
Find the potential difference V0 across the 700 Ω resistance.
A diagram was given in which three resistances 3.5 kΩ, 200 Ω, and 700 Ω are connected in series across a 7 V battery.Apr 05, 2024 09:00 AM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 8
What is the range of r for which circles (x + 1)2 + (y + 2)2 = r2 and x2 + y2 - 4x - 4y + 4 = 0 coincide at two distinct points.
Apr 05, 2024 08:50 AM IST
JEE Main April 5 Question Paper 2024: Chemistry Important Question 8
Identify the given reaction.
C6H6–C=O–Cl → (in the presence of H2, Pd/BaSO4) → Product
i. Etard Reaction
ii. Stephen's Reaction
iii. Wolff Kishner Reduction
iv. Rosenmund ReactionApr 05, 2024 08:40 AM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 8
Find the ratio of the kinetic energy and the potential energy in the 5th excited state of a hydrogen atom.
Apr 05, 2024 08:30 AM IST
JEE Main 5 April 2024 Mathematics Question 8
Find the value of the maximum area possible (in sq.units) of △ ABC with vertices A(0, 0), B(x, y) and C(-x, y) such that y = - 2x2 + 54x.
Apr 05, 2024 08:20 AM IST
JEE Main 2024 April 5 Chemistry Question 8
Find out the work done in Joules for the cyclic process ABCA such that PA = 30 kPa, VA = 10 dm3, PB = 10 kPa, VB = 30 dm3, PC = 10 kPa, VC = 10 dm3 (as per the given graph).
Apr 05, 2024 08:10 AM IST
JEE Main 2024 April 5 Question 8 for Physics
A particle of mass m is projected from the ground with a speed u at an angle of 30° with the horizontal. Find its angular momentum about the point of projection when it reaches its maximum height.
Apr 05, 2024 08:00 AM IST
JEE Main 2024 Question April 5: Mathematics Model Question 6
In an arithmetic progression, if the sum of 20 terms is 790 and the sum of 10 terms is 145, then S15 - S5 = ?
Apr 05, 2024 07:50 AM IST
JEE Main 5 April 2024 Chemistry Model Question 6
Find out the maximum number of hybrid orbitals formed when 2s and 2p orbitals are mixed.
Apr 05, 2024 07:40 AM IST
JEE Main 2024 April 5 Physics Model Question 6
If two rings of equal radius R are arranged perpendicular to each other with a common centre at C and the rings carry an equal current I, then find the magnetic field at C.
Apr 05, 2024 07:30 AM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 6
If the foot of the perpendicular from (1, 2, 3) to the line (x + 1)/2 = (y - 2)/5 = (z - 4)/1 is (α, β, γ), then find α + β + γ.
Apr 05, 2024 07:20 AM IST
JEE Main April 5 Question Paper 2024: Chemistry Important Question 6
Find out the sum of the coefficients of all the species involved in the balanced equation:
2MnO4 + I- → (in the presence of a slightly alkaline medium) → ProductApr 05, 2024 07:10 AM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 6
A gaseous mixture consists of 16 g of helium and 16 g of oxygen. The ratio CP /CV of the mixture is
(a) 1.4
(b) 1.54
(c) 1.59
(d) 1.62
Apr 05, 2024 07:00 AM IST
JEE Main 5 April 2024 Mathematics Question 6
Which of the following is logically equivalent to ~( ~ p ⇒ q)?
A) p ∧ q
B) p ∧ ~q
C) ~p ∧ q
D) ~p ∧ ~q
Apr 05, 2024 06:50 AM IST
JEE Main 2024 April 5 Chemistry Question 6
According to the kinetic theory of gases, in an ideal gas, between two successive collisions a gas molecule travels
(1) In a circular path
(2) In wavy path
(3) In a straight line path
(4) with an accelerated velocity
Apr 05, 2024 06:40 AM IST
JEE Main 2024 April 5 Question 6 for Physics
One kg of a diatomic gas is at a pressure of 8 × 104 N/m2. The density of the gas is 4 kg/m3. What is the energy of the gas due to its thermal motion?
(a) 3 × 104 J
(b) 5 × 104 J
(c) 6 × 104 J
(d) 7 × 104 J
Apr 05, 2024 06:30 AM IST
JEE Main 2024 Question April 5: Mathematics Model Question 5
If p is true and q is false, then which of the following statements is not true?
A) p ∨ q
B) p ⇒ q
C) p ∧ ( ~q)
D) q ⇒ p
Apr 05, 2024 06:20 AM IST
JEE Main 5 April 2024 Chemistry Model Question 5
A pressure cooker reduces cooking time for food because
(1) Heat is more evenly distributed in the cooking space.
(2) B.P of water involved in cooking is increased
(3) The higher pressure inside the cooker crushes the food.
(4) Cooking involves chemical changes helped by a rise in temperature.
Apr 05, 2024 06:10 AM IST
JEE Main 2024 April 5 Physics Model Question 5
In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T as Tq. A good estimate for q is
(a) 2
(b) 1
(c) 4/5
(d) 4/7
Apr 05, 2024 06:00 AM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 5
Which of the following is the contrapositive of “If two triangles are identical, then these are similar”?
A) if two triangles are not similar, they are not identical
B) If two triangles are not identical, then these are not similar
C) If two triangles are not identical, then these are similar
D) If two triangles are not similar, then these are identical
Apr 05, 2024 05:30 AM IST
JEE Main April 5 Question Paper 2024: Chemistry Important Question 5
In Van der waals equation of state of the gas law, the constant b is a measure of
(1) Intermolecular repulsions
(2) Intermolecular attraction
(3) Volume occupied by molecules
(4) Intermolecular collisions per unit volume.
Apr 05, 2024 05:00 AM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 5
The mass of a hydrogen molecule is 3.32 × 10–27/ kg. If 1023 hydrogen molecules strike, per second, a fixed wall of area 2 cm2 at an angle of 45° to the normal, and rebound elastically with a speed of 103 m s–1, then the pressure on the wall is nearly
(a) 2.35 × 103 N m–2
(b) 4.70 × 103 N m–2
(c) 2.35 × 102 N m–2
(d) 4.70 × 102 N m–2
Apr 05, 2024 04:30 AM IST
JEE Main 5 April 2024 Mathematics Question 5
The contrapositive of the inverse of p ⇒ ~q is ______.
Apr 05, 2024 04:00 AM IST
JEE Main 2024 April 5 Chemistry Question 5
Which primitive unit cell has unequal edge lengths and all axial lengths different from 900.
(1) Monoclinic
(2) Triclinic
(3) Tetragonal
(4) Hexagonal
Apr 05, 2024 03:30 AM IST
JEE Main 2024 April 5 Question 5 for Physics
Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume? (R = 8.3 J/mol K)
(a) 21.6 J/mol K
(b) 19.7 J/mol K
(c) 15.7 J/mol K
(d) 17.4 J/mol K
Apr 05, 2024 03:00 AM IST
JEE Main 2024 Question April 5: Mathematics Model Question 4
A five-digit number divisible by 3 has to be formed using the numerals 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is ________.
Apr 05, 2024 02:30 AM IST
JEE Main 5 April 2024 Chemistry Model Question 4
The one that is extensively used as a piezo electric material is
(1) quartz
(2) amorphous silica
(3) trydymite
(4) mica
Apr 05, 2024 02:00 AM IST
JEE Main 2024 April 5 Physics Model Question 4
The specific heats, CP and CV of gas of diatomic molecules, A, is given (in units of J mol–1 K–1) by 29 and 22, respectively. Another gas of diatomic molecules, B, has the corresponding values 30 and 21. If they are treated as ideal gases, then
(a) A has a vibrational mode but B has none.
(b) A has one vibrational mode and B has two.
(c) A is rigid but B has a vibrational mode.
(d) Both A and B have a vibrational mode each.
Apr 05, 2024 01:30 AM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 4
In how many ways can 5 boys and 5 girls sit in a circle so that no two boys sit together?
Apr 05, 2024 01:00 AM IST
JEE Main April 5 Question Paper 2024: Chemistry Important Question 4
A gaseous compound of nitrogen and hydrogen contains 12.5% (by mass) of Hydrogen. The density of the compound relative to hydrogen is 16. The molecular formula of the compound is:
(1) NH2
(2) NH3
(3) N3H
(4) N2H4
Apr 05, 2024 12:30 AM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 4
An ideal gas is enclosed in a cylinder at a pressure of 2 atm and temperature, 300 K. The mean time between two successive collisions is 6 × 10–8 s. If the pressure is doubled and the temperature is increased to 500 K, the mean time between two successive collisions will be close to
(a) 4 × 10–8 s
(b) 3 × 10–6 s
(c) 0.5 × 10–8 s
(d) 2 × 10–7 s
Apr 05, 2024 12:00 AM IST
JEE Main 5 April 2024 Mathematics Question 4
In how many ways can 15 members of a council sit around a circular table when the Secretary is to sit on one side of the Chairman and the Deputy Secretary on the other side?
Apr 04, 2024 11:30 PM IST
JEE Main 2024 April 5 Chemistry Question 4
‘a’ and ‘b’ are Vander Waal’s constants for gases. Chlorine is more easily liquified than ethane because:
(1) a for Cl2 < a for C2H6 but b for Cl2 > b for C2H6
(2) a for Cl2 > a for C2H6 but b for Cl2 < b for C2H6
(3) a and b for Cl2 > a and b for C2H6
(4) a and b for Cl2 < a and b for C2H6
Apr 04, 2024 11:00 PM IST
JEE Main 2024 April 5 Question 4 for Physics
A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Considering only translational and rotational modes, the total internal energy of the system is
(a) 20 RT
(b) 12 RT
(c) 4 RT
(d) 15 RT
Apr 04, 2024 10:50 PM IST
JEE Main 2024 Question April 5: Mathematics Model Question 3
An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only the three digits 2, 5, and 7. The smallest value of n for which this is possible is _______.
Apr 04, 2024 10:40 PM IST
JEE Main 5 April 2024 Chemistry Model Question 3
Which one of the following is the wrong assumption of kinetic theory of gases?
(1) All the molecules move in a straight line between collision and with the same velocity.
(2) Molecules are separated by great distances compared to their sizes.
(3) Pressure is the result of elastic collision of molecules with the container’s wall.
(4) Momentum and energy always remain conserved.
Apr 04, 2024 10:30 PM IST
JEE Main 2024 April 5 Physics Model Question 3
A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the nth power of R. If the period of rotation of the particle is T, then
(a) T ∝ R3/2
(b) T ∝ R(n/2)+1
(c) T ∝ R(n+1)/2
(d) T ∝ Rn/2
Apr 04, 2024 10:20 PM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 3
Number of divisors of n = 38808 (except 1 and n) is _____.
Apr 04, 2024 10:10 PM IST
JEE Main April 5 Question Paper 2024: Chemistry Important Question 3
Kinetic theory of gases proves
(1) Only boyle’s law
(2) Only Charle’s law
(3) Only Avogadro’s law
(4) all of these
Apr 04, 2024 10:00 PM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 3
Suppose that the angular velocity of rotation of earth is increased. Then, as a consequence
(a) There will be no change in weight anywhere on the earth
(b) Weight of the object, everywhere on the earth, will increase
(c) Except at poles, weight of the object on the earth will decrease
(d) Weight of the object, everywhere on the earth, will decrease.
Apr 04, 2024 09:50 PM IST
JEE Main 5 April 2024 Mathematics Question 3
From 6 different novels and 3 different dictionaries, 4 novels and a dictionary are to be selected and arranged in a row on the shelf such that the dictionary is in the middle. What is the number of such arrangements?
Apr 04, 2024 09:40 PM IST
JEE Main 2024 April 5 Chemistry Question 3
By how many folds the temperature of a gas would increase when the root mean. Square velocity of the gas molecules in a container of fixed volume is increased from 5×104 cm/s to 10×104 cm/s?
(1) Four
(2) three
(3) Two
(4) Six
Apr 04, 2024 09:30 PM IST
JEE Main 2024 April 5 Question 3 for Physics
What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?
(a) 5GmM/6R
(b) 2GmM/3R
(c) GmM/2R
(d) GmM/3R
Apr 04, 2024 09:20 PM IST
JEE Main 2024 Question April 5: Mathematics Model Question 2
Assuming the balls to be identical except for the difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is ______.
Apr 04, 2024 09:10 PM IST
JEE Main 5 April 2024 Chemistry Model Question 2
Value of gas constant R is
(1) 0.082 L atm
(2) 0.987 cal mol-1 K-1
(3) 8.3 J mol-1 K-1
(4) 83 erg mol-1K-1
Apr 04, 2024 09:00 PM IST
JEE Main 2024 April 5 Physics Model Question 2
Three particles, each of mass m, are situated at the vertices of an equilateral triangle of side length a. The only forces acting on the particles are their mutual gravitational forces. lt is desired that each particle moves in a circle while maintaining the original mutual separation a. Find the initial velocity that should be given to each particle and also the time period of the circular motion. (F = Gm1m2/r2)
Apr 04, 2024 08:50 PM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 2
If the letters of the word SACHIN are arranged in all possible ways, and these words are written in a dictionary, at what serial number does the word SACHIN appear?
Apr 04, 2024 08:40 PM IST
JEE Main April 5 Question Paper 2024: Chemistry Important Question 2
The relationship among most probable velocity, average velocity and root mean
Square velocity is respectively :
(1) √2 : √(8/π) : √3
(2) √2 :√3 : √(8/π )
(3) √3 : √(8/π) : √2
(4) √(8/π) : √3 : √2
Apr 04, 2024 08:30 PM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 2
A satellite is moving with a constant speed ‘V’ in a circular orbit about the earth. An object of mass “m” is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the kinetic energy of the object is
(a) 1/2 mV2
(b) mV2
(c) 3/2 mV2
(d) 2 mV2
Apr 04, 2024 08:20 PM IST
JEE Main 5 April 2024 Mathematics Question 2
Two numbers are chosen from 1, 3, 5, 7,… 147, 149 and 151 and multiplied together in all possible ways. The number of ways which will give the product a multiple of 5 is ______.
Apr 04, 2024 08:10 PM IST
JEE Main 2024 April 5 Chemistry Question 2
The compressibility factor for a real gas at high pressure is :
(1) 1-Pb/RT
(2) 1+ RT/Pb
(3) 1
(4) 1+Pb/RT
Apr 04, 2024 08:00 PM IST
JEE Main 2024 April 5 Question 2 for Physics
A Binary star system consists of two stars A and B which have time periods TA and TB, radii RA and RB and masses MA and MB. Then
(a) TA ＞TB then RA ＞RB
(b) TA ＞TB then MA ＞MB
(c) (TA/TB)2 = (RA/RB)2
(d) TA = TB
Apr 04, 2024 07:50 PM IST
JEE Main 2024 Question April 5: Mathematics Model Question 1
Find the total number of signals that can be made by five flags of a different colour when any number of them may be used in any signal.
Apr 04, 2024 07:40 PM IST
JEE Main 5 April 2024 Chemistry Model Question 1
The temperature at which oxygen molecules have the same root mean square speed as helium atoms have at 300 K is : (Atomic masses : He = 4 u, O = 16 u)
(1) 1200 K
(2) 600 K
(3) 300 K
(4) 2400 K
Apr 04, 2024 07:30 PM IST
JEE Main 2024 April 5 Physics Model Question 1
Two bodies of masses m and 4m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is
(a) -6Gm/r
(b) -9Gm/r
(c) Zero
(d) -4Gm/r
Apr 04, 2024 07:20 PM IST
JEE Main 2024 Question Paper April 5: Mathematics Important Question 1
The total number of positive integral solution for x, y, z such that x* y * z = 24, is ________.
Apr 04, 2024 07:10 PM IST
JEE Main April 5 Question Paper 2024: Chemistry Important Question 1
Which intermolecular force is most responsible in allowing xenon gas to liquefy?
(1) Instantaneous dipole induced dipole
(2) Ion dipole
(3) Ionic
(4) Dipole-dipole
Apr 04, 2024 07:00 PM IST
JEE Main 2024 April 5 Question Paper: Physics Important Question 1
A geostationary satellite orbits around the earth in a circular orbit of radius 36,000km. Then, the time period of a spy satellite orbiting a few hundred km above the earth’s surface (R =6,400km) will approximately be
(a) (l/2)hr
(b) 1 hr
(c) 2 hr
(d) 4 hr
Apr 04, 2024 06:50 PM IST
JEE Main 5 April 2024 Mathematics Question 1
A letter lock consists of three rings, each marked with ten different letters. In how many ways is it possible to make an unsuccessful attempt to open the lock?
Apr 04, 2024 06:40 PM IST
JEE Main 2024 April 5 Chemistry Question 1
If Z is the compressibility factor, van der Waals’ equation at low pressure can be written as :
(1) Z=1-Pb/RT
(2) Z=1+Pb/RT
(3) Z = 1+RT/Pb
(4) Z = 1-a/VmRT
Apr 04, 2024 06:30 PM IST
JEE Main 2024 April 5 Question 1 for Physics
A simple pendulum has a time period T1 when on the earth’s surface, and T2 when taken to a height R above the earth’s surface, where R is the radius of the earth. The value of T2/T1 is
(a) 1
(b) 3
(c) 4
(d) 2