JEE Main 2024 April 6 Shift 2 Question Paper with Answer Key (PDF Available): PDF download links

Question

Answer

16N

A tree branch holds a weight of 200 N by a uniform chain of mass 10 kg. The force applied by branch to hold this weight is (Take g = 10 m/s%)

If the kinetic energy of a block of mass m becomes 36 times by keeping its mass constant, by what percentage will the momentum increase?

A ball is projected vertically upwards from a building. The time taken to reach ground is T₁. Another ball is projected downwards from the same building, with the same speed. The time taken to reach ground is T₂. If a third ball is released from the same building, the time taken to reach the ground is

The weight of an object measured on the surface of earth is 300 N. What will be weight of the same object at depth R/4 inside the earth? Given R = Radiu of earth)

An isolated system contains one mole of He, given a heat of 48 J. If the temperature of the system changes by 2°C, then find work done

(take R = 8.35 / Mol - K)

A convex lens has a focal length of f= 20 cm, R₁ = 15 cm, R₂ = 30 cm. The refractive index of the lens is x/2. The value of x is

For a device, power consumed is 100 W and voltage supplied is 200 V. The number of electron that flow in 1s is x/4 x 10¹⁷. Find x

In a photoelectric setup, work function of the material is 2.13 eV, wavelength used is 300 nm. If hc = 1240 eV - nm, stopping potential for the setup

is__V.

An ammeter consists of 240 Ohms galvanometer, and a 10 Ohms shunt resistance is connected in the circuit as shown. Reading of the ammeter is

Find the largest wavelength of the Paschen series for the hydrogen atom (Rydberg constant = 10⁷/m)

Find the kinetic energy (maximum possible) associated with 20 diatomic molecules (Here k_b is Boltzmann constant and T is the absolute temperature of diatomic gas)

Statement I: Dimensions of specific heat capacity is [L²T ^-2K^-1]

Statement I: Dimensions of the universal gas constant is [ML²T^-1к^-1]

Question

Answer

The molarity of NaCI solution is 3 M. Calculate the molality of the solution. (Given density of the solution = 1.25 g/mL)

2.79

For a certain reaction, deltaH_r is 400 kJ/mol and deltaS=0.2 kJ/mol K. Above what minimum temperature in Kelvin, the reaction becomes spontaneous.

Find out the shortest wavelength of the Paschen series for H- atom

Which of the following d-block elements has a maximum unpaired electron in ground state electronic configuration?

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Question

Answer

Find the range of 1/7 - sin 5x

[1/8, 1/6]

There are letters to be delivered to 5 different locations, then find the probability that the letter is delivered to exactly 2 correct assuming each letter is delivered to a unique address.

The 315th word in dictionary arranged in order for the word 'NAGPUR' is:

Let A = [1, 2, 3, 4, 5], m be the number of relation such that 4x ≤ 5y xRy & n be the minimum number of elements to be added from A x A to make symmetric relation. Then find the value of n+m.

If the area bounded by the region (x, y) such that {(x,y)\ a/x² < y < 1/x ; 1< x <  2, 0 < a < 1} is (In2 - 2/7) sq. units, then (7a - 3) is equal to: 

If a(vector)=2i-j + k and b(vector) = ((a(vector) x（i + j）x i, then the square of projection of a (vector) on b (vector) is:

If the order of matrix A is 3 and |A| = 3 then the value of det (adj (-4adj (-3adj (2A^-1)))) is 2^m 3ⁿ. The value of m + 2n is:

Sides of a triangle are AB = 9, BC = 7, AC = 8. Find cos 3C.

Find the locus of P such that the ratio of distance P from A(3,1) and B (1,2) is 5:4.

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