JEE Main 2024 April 6 Exam LIVE

08 00 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 31

a = 2i + 3j + 5k
b = 3i + 3j + 7k
c = 7i + 8j + 9k
If a x b = c + d, find |d|.

07 45 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 31

CH3-(CH2)4-CH3 → (in presence of Anhy. AICI3, HCI, heat) → Major product
Identify the major product obtained.

07 30 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 31

If a particle is moving in a uniform circular motion of radius 1 m is having velocity 3j m/s at point B. What will be the velocity and acceleration at diametrically opposite points A?

07 15 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 30

Find area bounded by the curves y = max {sin x, cos x} and x-axis between x = -π and x = π.

07 00 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 30

For the first-order reactions, find the ratio of t_50% and t_87.5%.

06 30 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 29

Find f(3) if 3 f(x) + 2 f(1/x) = -10 + 1/x.

06 20 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 29

Consider a reaction.
A2(g) + B2(g) → 2AB(g)
If ΔH0f of A2, AB and B2 are in the ratio 1 : ½: 1 and ΔH of the reaction is -200 kJ/mol, find ΔH0(A2) in kJ/mol

06 10 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 29

For an input signal (diagram given) supplied across a logic gate (diagram given), identify the output signal (diagrams given).

06 00 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 28

Find the negation of [ ((A ∧ (B ∨ C)) ⇒ (B ∧ C) ⇒ A ].

05 50 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 28

Identify the incorrect statement regarding the product given in the following reaction:
Be(OH)2 + Sr(OH)2 → Product
i. Be is tetrahedrally bonded in the product
ii. Be forms cationic part
iii. It is an acid-base reaction
iv. Be(OH)2 acts as a Lewis acid

05 40 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 28

Find the centre of gravity of a semicircular disc of radius R.

05 30 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 27

Find the number of seven digits numbers that can be made using the digits 1, 2, 3, and 4 such that the sum of the digits of the resulting number is 12.

05 20 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 27

Identify x if the radius of the second orbit of He+ is r0 and the radius of the fourth orbit of Be3+ is xr0.

05 10 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 27

Calculate the percentage error in the measurement of kinetic energy if m = 5 ± 0.2 and v = 20 ± 0.4.

05 00 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 26

Identify if the following statement(s) is/are correct/incorrect.
Statement I: limn→∞ [ (1/n2) ( 1 + 2 + 3 + ... + n ) = 1
Statement II: limn→∞ [ (1/n16) ( 115 + 215 + 315 + ... + n15 ) = 1/16

04 50 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 26

If the energy of 1st Bohr's orbit of hydrogen (E1) is -2.18 x 10-18 J, then find the energy of the 3rd Bohr's orbit for hydrogen.

04 40 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 26

Calculate the bulk modulus in terms of P if the Pressure for the polytropic process (P) varies with volume V as P = a/v3.

04 30 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 25

If dy/dx = 6ex + e2x + e3x, then find y(2) - y(0).

04 20 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 25

In which of the following options do the species change from paramagnetic to diamagnetic and bond order increases?
i. O2 → O22+
ii. O2 → O2+
iii. NO → NO+
iv. N2 → N2+

04 10 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 25

A solid sphere rolls on a horizontal plane. The ratio of its angular momentum about COM to its total energy is π/22. Find its angular frequency.

04 00 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 24

If dy/dx = y + 7 and y1(x) and y2(x) are two solutions of this differential equation such that y(0) = 1 and y(1) = 1, then find the number of solutions for  y1(x) = y2(x).

03 50 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 24

Match the pairs.
Column I: A. Nylon-6, B. Natural Rubber, C. Vulcanized Rubber, D. Neoprene
Column II: i. Caprolactum, ii. Chloroprene, iii. Isoprene, iv. Sulphur containing rubber

03 40 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 24

A point R is at (5/8, 3/8, 1/8) and a plane mirror is placed on the xy plane. Find the distance between the image formed by the mirror and the object.

03 30 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 23

If g(x) = (x + 1)1/2 and f(g(x)) = 3 - (x + 1)1/2, then find f(0).

03 20 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 23

Match the pairs.
Column I:
A. Troposphere, B. Stratosphere, C. Mesosphere, D. Thermosphere
Column II:
i. About 10 to 15 km above the mean sea level
ii. Up to 10 km from the mean sea level
iii. About 85 to ~700 km above the mean sea level
iv. About 50 to 85 km above the mean sea level

03 10 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 23

A particle is performing SHM having a position x = A cos 30° and an amplitude A = 40 cm. If its kinetic energy at this position is 200 J, then find the value of force.

03 00 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 22

If Plane P3 is passing through (1, 1, 1) and the line of intersection of P1 and P2 where P1 = 2x - y + z = 5 and P2 = x + 3y + 2z + 2 = 0, then find the distance of (1, 1, 10) from P3.

02 50 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 22

Select the correct option regarding products A and B.
Glyceraldehyde → (in presence of I. HCN, II. H3O+, III. HNO3) → A + B
i. Both are optically active
ii. Both are optically inactive
iii. One is optically active and another is optically inactive
iv. None of these

02 40 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 22

A line charge of linear change density λ and a large non-conducting sheet of charge density σ are placed parallel to each other. Point A is at a distance 3/π from the line charge and Point B is at a distance of 4/π from the line charge. Find the ratio of the electric field at A to that at B.

02 30 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 21

If the mean of the following data is 5 and the mean deviation about the mean is M and the variance is σ2, then find [ 3α/(M + σ2) ].
xi → fi
1 → 4
3 → 24
5 → 28
7 → α
9 → 8

02 20 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 21

Which of the following are the pairs of lanthanides with exceptionally high 3rd ionisation enthalpy than neighbouring elements?
i. Lu and Yb
ii. Eu and Gb
iii. Eu and Yb
iv. Dy and Yb

02 10 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 21

A dipole of charge 0.01 C and separation 0.4 mm, is placed in an electric field of strength 10 dyne/C, Find the maximum torque exerted on the dipole in the field.

02 00 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 20

If the number of total possible symmetric matrices using the digits {0, 1, 2, 3, ..., 10} is mn where m is a prime number, find m + n.

01 50 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 20

Which of the following can be observed when lyophilic sol is added to lyophobic sol?
i. Prevention from coagulation
ii. Precipitation
iii. Emulsion
iv. Electrophoresis

01 40 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 20

A beaker is half-filled with oil at the bottom (µoil = 2) and half with water at the top (µwater = 4/3). Find the apparent depth of the oil.

01 30 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 19

Let there be 10 A.P.s whose first terms are (1,2, 3 ... 10) respectively and whose common differences are (1,3,5, ...) respectively and Si denotes the sum of 10 terms of ith A.P., then find the summation of Si from i = 1 to i = 10.

01 20 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 19

Which of the following shows the incorrect method of refining?
i. Zinc: Liquation
ii. Copper: Electrolysis
iii. Titanium: Van Arkel Method
iv. Nickel: Mond's Process

01 10 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 19

Two identical particles each of mass m, move in a circular path due to their own mutual gravitational force. Find the velocity of the particle if the radius of the circular path is a.

01 00 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 18

What will be the remainder of 42022 when divided by 15?

12 50 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 18

Which one of the following is the best method for the removal of the hardness of water?
i. Boiling
ii. Treatment with washing soda
iii. Permutit process
iv. Synthetic resin method

12 40 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 18

Three capacitors of capacitance 3 µC, x µC and 2 µC are connected in parallel across a 10 V source. Find the value of x. 

12 30 PM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 17

Σ (2 x 22 - 2 x 32 + 2 x 42 - ... 20 terms) = ?

12 20 PM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 17

Which free radical is primarily responsible for the depletion of the ozone layer?

12 10 PM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 17

The height of receiving and transmitting antennae in the communication of a signal are 245 m and 180 m respectively. Find the maximum distance between the two antennae for proper communication.

12 00 PM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 12

Change requests for the exam centres for JEE Main 2024  session 2 will not be considered.

11 50 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 16

Matrix A having an order of m has the value of its determinant as m-n. Find the value of det(n adj (adj (mA))).

11 40 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 16

Identify the major project when C6H5Cl reacts in presence of CH3COCl and anhydrous AlCl3.

11 30 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 16

Match the pairs.
Column I: A. Microwaves, B. Ultraviolet rays, C. X-rays, D. Infrared waves
Column II: i. 1 nm to 400 nm, ii. 1 nm to 1 pm, iii. 2.5 µm to 750 nm, iv. 1 µm to 1 mm.

11 20 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 11

Examinees are not allowed to leave the exam room prior to its closure.

11 10 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 15

If n ∈ [10, 100] and n ∈ N, then how many values of such n are possible where 3n - 3 is divisible by 7?

11 00 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 15

Identify if the following statement(s) is/are correct/incorrect.
Statement I: According to Bohr's Model, the angular momentum is Quantized for stationary orbits.
Statement II: Bohr's Model doesn't follow Heisenberg's Uncertainty Principle.

10 50 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 15

In a single slit diffraction experiment λ = 600 nm, if at θ = 30°, the first minima is formed. Find the width of the slit (α) in µm.

10 40 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 10

No aspirant will be allowed to enter the test centre once the examination begins.

10 30 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 14

How many three-digit numbers can be formed which are divisible by 3 using the digits 1,3,5, and 8? Repetition is allowed.

10 20 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 14

How many of the following statements are correct :
i. Conductivity (K) decreases with an increase in dilution, for both strong and weak electrolytes.
ii. Molar conductivity increases with an increase in dilution for both strong and weak electrolytes.
iii. Molar conductivity increases with an increase in 'a' for a weak electrolyte.
iv. Change in molar conductivity is the same for both strong and weak electrolytes with the increase in dilution.

10 10 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 14

How many three-digit numbers can be formed which are divisible by 3 using the digits 1,3,5, and 8? Repetition is allowed.

10 00 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 9

Applicants will not be permitted to take the exam if they do not have JEE Main 2024 admit card.

09 50 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 13

Find the orthocentre of the triangle having vertices as A(1,2), B(3, -4), and C(0,6).

09 40 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 13

Calculate the ratio of the radii of the second and third Bohr's orbits in H-atom.

09 30 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 13

If a particle's position changes with time as r = t2 - 2t (m). Find the velocity at t = 2 sec.

09 20 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 8

Once the exam begins, no candidate will be permitted to enter the examination hall.

09 10 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 12

Find the equivalent statement of p ∧ ( q ∧ ( p ∧ q) ).
i. Tautology
ii. Fallacy
iii. Contingency
iv. None of these

09 00 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 12

Calculate the number of P-O-P bonds in H3PO4, P4O10, and (HPO3)3.

08 50 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 12

A variable force F = 5Kx N acts on a body moving along the x-axis. Find the work done by this force in displacing the body from x = 2 m to x = 5 m (K is a constant).

08 45 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 30

Four resistance circuit combinations are represented diagrammatically. Arrange them in the increasing order of their power consumption.

08 40 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 7

Candidates cannot wear a watch inside the examination hall.

08 30 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 11

f ( x ) = log ( 4x2 + 11x + 9 ) + sin-1( 4x + 3 ) + cos-1((10x + 6) / 3)
If the domain of f ( x ) = [ α, β ], then find | 10 ( α - β ) |.

08 20 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 11

The sum of the masses of reactants and products is equal in any physical or
chemical reaction. This is in accordance with
law of:
(1) Multiple proportion
(2) Definite composition
(3) Conservation of mass
(4) Reciprocal proportion

08 10 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 11

Name the physical quantity whose S.I. unit is Is it a
scalar or a vector quantity?
(1) Current, vector
(2) Current, scalar
(3) Electrostatic potential, vector
(4) Electrostatic potential, scalar

08 00 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 6

Test takers can appear for the allotted test venue that has been designated.

07 50 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 10

Let S = {1,2,3,..., 20}
R1 = {(a, b): a divide b},
R2 = {(a, b): a is integral multiple of b} and a, b ∈ S.
n(R1 - R2) = ?

07 40 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 10

Which of the following is the correct for adiabatic free expansion against vacuum?
i. q = 0, ΔU = 0, w = 0
ii. q ≠ 0, w = 0, ΔU = 0
iii. q = 0, ΔU ≠ 0, w = 0
iv. q = 0, ΔU ≠ 0, w ≠ 0

07 30 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 10

Two particles, each of mass 2 kg are placed in the x - y plane such that mx is 4 m on the negative x-axis and my is 4 m on the positive y-axis. If the distance of the centre of mass from the origin is [ (4√2)/x ], find x.

07 20 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 5

Seat that has been assigned to each candidate must be only occupied.

07 10 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 9

If the hyperbola x2 - y2cosec2θ = 5 and ellipse x2cosec2θ + y2 = 5 has eccentricity eH and eE respectively and eH = √7 eE, then find the value of θ.

07 00 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 9

Match the following:
Column 1: i. [Cr(H2O)6]3+, ii. [Fe(H2O)6]3+, iii. [Ni(H2O)6]2+, iv. [V(H2O)6]3+
Column 2: a. t2g2eg0, b. t2g3eg0, c. t2g3eg2, d. t2g6eg2

06 50 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 9

2 moles of a monoatomic gas and 6 moles of a diatomic gas are mixed. Find the molar-specific heat for a constant volume of the mixture if R represents the universal gas constant.

06 40 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 4

Students with diabetes are permitted to bring food items, such as fruits or sugar tablets, and clear water bottles to the test room. But they won't be permitted to bring packaged meals like sandwiches, chocolates, candies, etc.

06 30 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 8

If 5f(x) + 4f(1/x) = x2 - 4 and y = 9f(x) * x2
If y is strictly increasing, then find the interval of x. 

06 20 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 8

Statement I: S8 disproportionates into H2S2O3 and S2- in an alkaline medium.
Statement II: CIO4- undergoes disproportionation in an acidic medium
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.

06 10 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 8

On increasing temperature, the elasticity of a material will:
i. Increase
ii. Decrease
iii. Remain constant
iv. May increase or decrease

06 00 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 3

Before leaving the test room, candidates must write their name and roll number at the top of each sheet and return the sheets and admit card to the invigilator.

05 30 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 7

We are given with following cell reaction:
2H+ + 2 e- → H2
PH2= 2 atm
[H+]= 1M
(2.303RT / F = 0.06)
If Ecell of the reaction is given by -x * 10-3 V. Find out x.

05 00 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 7

In Kjeldahl's estimation of nitrogen, CuSO4 acts as:
i. Oxidising Agent
ii. Reducing Agent
iii. Catalyst
iv. Reagent

04 30 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 7

A vernier calliper has 10 main scale divisions coinciding with 11 vernier scale divisions equals 5 mm. What is the least count of the device?

04 00 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 2

In the examination room, there will be sheets of blank paper available for rough work. 

03 30 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 6

If AP1 = 3, 7, 11,..., 403 and AP2 = 2, 5, 8,..., 401. Find the sum of common terms of AP1 and AP2.

03 00 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 6

The total number of deactivating groups among the following is:
-CN, -NH-CO-CH3, -CO-CH3, -NH-CH3

02 30 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 6

De Broglie wavelength of a proton is λ and that of an α particle is 2λ. Find the ratio of the velocity of the proton to that of α particle.      

02 00 AM IST - 06 Apr'24

JEE Main 2024 April 6 Exam Day Instruction 1

Candidates for JEE Main are only permitted to bring items that are listed on their admit card.

01 30 AM IST - 06 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 5

If 3, a, b, c are in A.P. and 3, (a - 1), (b + 1) are in G.P., then find the arithmetic mean of a, b, and c.

01 00 AM IST - 06 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 5

Find out the total possible optical isomers of 2-chlorobutane.

12 30 AM IST - 06 Apr'24

JEE Main 2024 April 6 Physics Model Question 5

Determine the lowest energy of a photon emitted in the Balmer Series of a hydrogen atom.

12 00 AM IST - 06 Apr'24

JEE Main 2024 April 6 Chemistry Question 4

Moles of CH4 required for formation of 22 g of CO2 is m x 10-2. Find the value of m.

11 30 PM IST - 05 Apr'24

JEE Main 2024 April 6 Question 4 for Physics

Four identical particles of mass m each are placed at 4 corners of a square. The gravitational force exerted on one of the masses by other masses is [(2√2+1)/32] Gm2/l2. Find the length of the side of the square.

11 00 PM IST - 05 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 3

Find the solution of the differential equation y dy/dx = x (logex - logey + 1), x > 0, y > 0 and passes through (e, 1).

10 50 PM IST - 05 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 3

Arrange the following elements (magnitude only) in the decreasing order of electron gain enthalpy.
Sulphur - A, Bromine - B, Fluorine - C, Argon - D

10 40 PM IST - 05 Apr'24

JEE Main 2024 April 6 Physics Model Question 3

If the percentage error in measuring the length and diameter of a wire is 0.1% each, then find the percentage error of the resistance of the wire.

10 30 PM IST - 05 Apr'24

JEE Main 2024 Question Paper April 6: Mathematics Important Question 3

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).

10 20 PM IST - 05 Apr'24

JEE Main 5 April 2024 Chemistry Exam Question 3

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

10 10 PM IST - 05 Apr'24

JEE Main 2024 April 6 Question Paper: Physics Important Question 3

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.

10 00 PM IST - 05 Apr'24

JEE Main 6 April 2024 Mathematics Question 3

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.

09 50 PM IST - 05 Apr'24

JEE Main 2024 April 6 Chemistry Question 3

How many of the following compounds have sp3 hybridized central atom?
H2O, NH3, SiO2, SO2, CO and BF3

09 40 PM IST - 05 Apr'24

JEE Main 2024 April 6 Question 3 for Physics

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)

09 30 PM IST - 05 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 2

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?

09 20 PM IST - 05 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 2

If 5 mole of an idan gas expands from 10 L to a volume of 100 L at 300 K under isothermal and reversible conditions then work W s xJ. Given R = 80134 Jmol-1/K. 

09 10 PM IST - 05 Apr'24

JEE Main 2024 April 6 Physics Model Question 2

For the block shown, F1 is the minimum force required to move the block upward and F2 is the minimum force required to prevent it from slipping find |F1 (vector) - F2 (vector)| 

09 00 PM IST - 05 Apr'24

JEE Main 2024 Question Paper April 6: Mathematics Important Question 2

Let mean and variance of 6 observations a, b, 68, 44, 40, 60 be 55 and 194. If a > b then find a + 3b

08 50 PM IST - 05 Apr'24

JEE Main 5 April 2024 Chemistry Exam Question 2

For the order reaction A -> product. if troot2 = 120 min the time for 90 percent completion is?

08 30 PM IST - 05 Apr'24

JEE Main 2024 April 6 Question Paper: Physics Important Question 2

Among the given vitamins how many can be stored in the body (A, B₁, B₆, B₁₂, C, D, E, & K)

08 20 PM IST - 05 Apr'24

JEE Main 6 April 2024 Mathematics Question 2

If A = {1, 2, 3, … 100}, R = {(x, y) | 2x = 3y, x, y ∈ A} is symmetric relation on A and the number of elements in R is n, the smallest integer value of n is

08 10 PM IST - 05 Apr'24

JEE Main 2024 April 6 Chemistry Question 2

Among the given options which has the maximum ionic character (Option 1 KCL || Option 2 AgCl  ||. Option 3  CaCl2  || Option 4: BaCl2)

08 00 PM IST - 05 Apr'24

JEE Main 2024 April 6 Question 2 for Physics

The number of ways to distribute the 21 identical apples to three children so that each child gets at least 2 apples is? 

07 50 PM IST - 05 Apr'24

JEE Main 2024 Question April 6: Mathematics Model Question 1

If 2nd, 8th, 44th term of A.P. is 1st, 2nd, and 3rd terms respectively of G.P. and the first term of A.P. is 1, then the sum of the first 20 terms of A.P. is: 

07 40 PM IST - 05 Apr'24

JEE Main 6 April 2024 Chemistry Model Question 1

Among the given statement which of the following is correct

Option 1 [NiCl₄]^2- diamagnetic, [Ni(CO)₄] - diamagnetic 

Option 2 [Ni(CO)₄] - diamagnetic, [NICi₄]^2- - diamagnetic 

Option 3 [NiCl₄]^2- paramagnetic, [Ni(CO)₄] - Paramagnetic

Option 4 [NiCl₄]^2- Paramagnetic, [NI(CO)₄] - diamagnetic

07 30 PM IST - 05 Apr'24

JEE Main 2024 April 6 Physics Model Question 1

Find the mass number of nucleus Y when A nucleus X has mass number 192 and a second nucleus Y has radius half of X,

07 20 PM IST - 05 Apr'24

JEE Main 2024 Question Paper April 6: Mathematics Important Question 1

A coin is biased such that the head has two chances and the tails what is the probability of getting 2 heads and 1 tail?

07 10 PM IST - 05 Apr'24

JEE Main 5 April 2024 Chemistry Exam Question 1

(Statement I: S8 disproportionate into H2S203 and S2 in alkaline medium and  Statement II: CIO4 undergoes disproportionation in acidic medium)

07 00 PM IST - 05 Apr'24

JEE Main 2024 April 6 Question Paper: Physics Important Question 1

Find the value of x when 3 moles of oxygen gas and 2 moles of argon gas are mixed together. If the total energy of the mixture is xRT.

06 50 PM IST - 05 Apr'24

JEE Main 6 April 2024 Mathematics Question 1

If a = sin-1 (sin 5), b = cos-1 (cos 5) then a2 + b2 is equal to?

06 40 PM IST - 05 Apr'24

JEE Main 2024 April 6 Chemistry Question 1

Find the work done by gas At temperature 300 kelvin, 5 moles of gas are expanded from 10 litre to 100 litre.

06 30 PM IST - 05 Apr'24

JEE Main 2024 April 6 Question 1 for Physics

If in the given expression, E = b - x2 / at E represents energy, x represents length and t represents time then, find [a/b] where a and b are variables.