JEE Main 2024 April 5 Questions Live Updates: Day 2 exam concluded, download paper

06 30 PM IST - 05 Apr'24

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).

06 20 PM IST - 05 Apr'24

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 electrode

06 10 PM IST - 05 Apr'24

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.

06 00 PM IST - 05 Apr'24

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.

05 50 PM IST - 05 Apr'24

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 BF3

05 40 PM IST - 05 Apr'24

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)

05 30 PM IST - 05 Apr'24

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?

05 20 PM IST - 05 Apr'24

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 SiO

05 10 PM IST - 05 Apr'24

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.

05 00 PM IST - 05 Apr'24

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) = ?

04 50 PM IST - 05 Apr'24

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 C

04 40 PM IST - 05 Apr'24

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 Precipitate

04 30 PM IST - 05 Apr'24

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

04 20 PM IST - 05 Apr'24

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+

04 10 PM IST - 05 Apr'24

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 – CH3

04 00 PM IST - 05 Apr'24

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:

03 50 PM IST - 05 Apr'24

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)

03 40 PM IST - 05 Apr'24

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)

03 30 PM IST - 05 Apr'24

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

03 20 PM IST - 05 Apr'24

JEE Main 2024 April 5 Chemistry Question 12

What is the reason behind the KMnO4 displaying colour? 

03 10 PM IST - 05 Apr'24

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.

03 00 PM IST - 05 Apr'24

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

02 50 PM IST - 05 Apr'24

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.

02 40 PM IST - 05 Apr'24

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?     

02 30 PM IST - 05 Apr'24

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.

02 20 PM IST - 05 Apr'24

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 Pyramidal

02 10 PM IST - 05 Apr'24

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.

02 00 PM IST - 05 Apr'24

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.

01 50 PM IST - 05 Apr'24

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.

01 40 PM IST - 05 Apr'24

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?

01 30 PM IST - 05 Apr'24

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.

01 20 PM IST - 05 Apr'24

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 pyramidal

01 10 PM IST - 05 Apr'24

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.

01 00 PM IST - 05 Apr'24

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 )824

11 50 AM IST - 05 Apr'24

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.

11 40 AM IST - 05 Apr'24

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.

11 30 AM IST - 05 Apr'24

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?

11 20 AM IST - 05 Apr'24

JEE Main 2024 April 5 Chemistry Question 10

Identify the correct structure for the compound named "3-Methylpent-2-enal" as per IUPAC nomenclature.

11 10 AM IST - 05 Apr'24

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)

11 00 AM IST - 05 Apr'24

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?

10 50 AM IST - 05 Apr'24

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

10 40 AM IST - 05 Apr'24

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.

10 30 AM IST - 05 Apr'24

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.

10 20 AM IST - 05 Apr'24

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).

10 10 AM IST - 05 Apr'24

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.)

10 00 AM IST - 05 Apr'24

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.

09 50 AM IST - 05 Apr'24

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+

09 40 AM IST - 05 Apr'24

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.

09 30 AM IST - 05 Apr'24

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.

09 20 AM IST - 05 Apr'24

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. Glucose

09 10 AM IST - 05 Apr'24

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.

09 00 AM IST - 05 Apr'24

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.

08 50 AM IST - 05 Apr'24

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 Reaction

08 40 AM IST - 05 Apr'24

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.

08 30 AM IST - 05 Apr'24

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. 

08 20 AM IST - 05 Apr'24

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).

08 10 AM IST - 05 Apr'24

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.

08 00 AM IST - 05 Apr'24

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 = ?

07 50 AM IST - 05 Apr'24

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.

07 40 AM IST - 05 Apr'24

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.

07 30 AM IST - 05 Apr'24

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.

07 20 AM IST - 05 Apr'24

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) → Product

07 10 AM IST - 05 Apr'24

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

07 00 AM IST - 05 Apr'24

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

06 50 AM IST - 05 Apr'24

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

06 40 AM IST - 05 Apr'24

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

06 30 AM IST - 05 Apr'24

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

06 20 AM IST - 05 Apr'24

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.

06 10 AM IST - 05 Apr'24

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

06 00 AM IST - 05 Apr'24

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

05 30 AM IST - 05 Apr'24

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.

05 00 AM IST - 05 Apr'24

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

04 30 AM IST - 05 Apr'24

JEE Main 5 April 2024 Mathematics Question 5

The contrapositive of the inverse of p ⇒ ~q is ______.

04 00 AM IST - 05 Apr'24

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

03 30 AM IST - 05 Apr'24

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

03 00 AM IST - 05 Apr'24

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 ________.

02 30 AM IST - 05 Apr'24

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

02 00 AM IST - 05 Apr'24

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.

01 30 AM IST - 05 Apr'24

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?

01 00 AM IST - 05 Apr'24

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

12 30 AM IST - 05 Apr'24

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

12 00 AM IST - 05 Apr'24

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?    

11 30 PM IST - 04 Apr'24

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

11 00 PM IST - 04 Apr'24

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

10 50 PM IST - 04 Apr'24

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 _______.

10 40 PM IST - 04 Apr'24

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.

10 30 PM IST - 04 Apr'24

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

10 20 PM IST - 04 Apr'24

JEE Main 2024 Question Paper April 5: Mathematics Important Question 3

 Number of divisors of n = 38808 (except 1 and n) is _____.

10 10 PM IST - 04 Apr'24

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

10 00 PM IST - 04 Apr'24

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.

09 50 PM IST - 04 Apr'24

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?

09 40 PM IST - 04 Apr'24

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

09 30 PM IST - 04 Apr'24

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

09 20 PM IST - 04 Apr'24

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 ______.

09 10 PM IST - 04 Apr'24

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

09 00 PM IST - 04 Apr'24

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)

08 50 PM IST - 04 Apr'24

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?

08 40 PM IST - 04 Apr'24

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

08 30 PM IST - 04 Apr'24

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

08 20 PM IST - 04 Apr'24

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 ______.

08 10 PM IST - 04 Apr'24

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

08 00 PM IST - 04 Apr'24

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

07 50 PM IST - 04 Apr'24

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.

07 40 PM IST - 04 Apr'24

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

07 30 PM IST - 04 Apr'24

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

07 20 PM IST - 04 Apr'24

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 ________.

07 10 PM IST - 04 Apr'24

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

07 00 PM IST - 04 Apr'24

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

06 50 PM IST - 04 Apr'24

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?

06 40 PM IST - 04 Apr'24

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

06 30 PM IST - 04 Apr'24

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