JEE Main 2024 April 4 Shift 2 Question Paper with Answer Key (PDF Available): Solutions download links

A massless rod has a point mass attached to one end while the other end is hinged. The rod is released from the position shown. The speed of the mass at the bottom-most point is (R = 14 m, g = 10 m/s%)

P, Q, R, S are 4 symmetric points on a horizontal circle of a radius of 4 km. What is the displacement when a car moves from P to R along the given circular path?

One mole of an ideal monoatomic gas compressed adiabatically from volume 2 V to V. If the initial temperature of the gas was T then the magnitude of work done in this process is

A 2 kg brick is placed on an inclined plane of inclination 45°. The brick is at rest. The minimum coefficient of static friction is?

With regard to gravitation parameters, the dimension of T ² are same as that

A point charge q is kept at the center of the one of the surface of a cube. Flux linked with cube is:

A heater of rating 50W,200 V is connected with source voltage of 100 V. Power consumed by the heater is

The width of the one slit in YDSE is four times the other slit. Then ratio of maximum to the minimum intensity at screen is

A metallic rod of length 4 m is rotating about perpendicular bisector of the rod with angular velocity of 2 rad/s in presence of transverse magnitude field of 0.5 T. Potential difference developed across ends of rod is

Assertion (A): The contact angle depends on material of solid and liquid.

Reason (R): Height of the liquid in a capillary tube is independent of the radius of the tube.

Two point masses m and 2m are on a straight line. If mass m moves towards the centre of mass by distance 2 cm, then the distance of mass 2m should move, so that centre of mass does not change. ____ cm

A body of mass 4 kg is at a height of R (radius of earth) from the surface of the earth. The weight if the body is N.

A bar magnet of magnetic moment M = 0.5 Am ² is under the influence of a magnetic field 8 T. Find the work done (J) to move the magnet from stable to unstable equilibrium position.

For methane, the translation degrees of freedom is f ₁ while the rotational degrees of freedom is f ₂ . Find f ₁ + f ₂ -

Two infinite straight conductors carrying current I and 2l are separated at a distance 2r as shown in figure. If the ratio of magnetic field at point A to that of point C is = x/7 then find x.

Two wires A & B of the same length and the same material have radius of a cross sections of 2 mm & 4 mm respectively. If the resistance of wire B is 2ohms then the resistance of wire A is _____ ohms

IUPAC name of Catechol is-

a)Benzene, 1,2-diol
b)Benzene-1,3-diol
с)Benzene -1,4-diol
d)3-Hydroxyphenol

The correct order of ionisation enthalpy for Li, Na, CI, Fis:

a) Na < Li < Cl < F
b) Li < Na < Cl < F
c) Na < Li < F < Cl
d) F < Cl< Li< Na

Consider the following statements:

Statement I: The number of emitted photoelectrons Increases with an increase in the frequency of incident light.

Statement II: The kinetic energy of emitted photoelectrons increases with an increase in the frequency of incident light

1. Statement I is true but statement II is false
2. Statement I is false but statement Il is true
3. Both Statement I and statement Il are true
4. Both Statement I and statement Il are false

Which of the following statements is incorrect?

1. In a homogeneous mixture composition is uniform
2. Compounds are formed when atoms of different elements combine together in any ratio
3. Atoms of the same element have identical atomic mass and properties
4. In a heterogeneous mixture, the composition is not uniform

Find out the magnitude of heat (q) for an isothermal irreversible expansion against an external pressure of 8 bar if volume increases by 10 L (in Joule)

Which of the following is used as adsorbent in adsorption chromatography?

a) Silica gel
b) Alumina
с) Benzene
d) Both a & b

What is the maximum amount of acetanilide formed when acetic anhydride in excess is treated with 18 gm of aniline. (nearest Integer).

We have a complex of Fe ³⁺ ion having an electronic configuration according to crystal field theory is t _2g ⁵ e _g ^o . If the complex is [Fe(NH ₃ ) _x (CN) _y ], then value of (X+Y) is

How many of the given statements are true for fuel cell

1. It is a type of galvanic cell
2. It is used for providing electrical power in space programmes.
3. Hydrogen and oxygen are bubbled through porous electrodes into a concentrated NaOH solution
4. It produces electricity with an efficiency of 40%
5. It is a pollution-free cell

An element of d-Block (Z) of the 4th period has spin only magnetic moment of its Z ³⁺ form is 3.9 BM, Then find an atomic number of the element (Z).

3 g of acetic acid is dissolved in 500 g of water. Depression in the freezing point of solution is x X 10 ^-1 . The value of x to the nearest integer is ___

Given: K _a of CH ₃ COOH = 1.8 x 10 ^-5 & K _f of water = 1.86 K/molal Density of water = 1 g/mL

If a, b, c are in A. P. and a + 1, b,c + 3 are in G. P., the arithmetic mean of a, b, c is 8, then the value of cube of the geometric mean of a, b, c is:

A parabola y ² = 12x has a chord PQ with a mid-point (4, 1) then the equation of PQ passes through:

In a group A there are 4 men and 5 women and in group B there are 5 men and 4 women, if 4 people are selected from each group find number of ways to select 4 men and 4 women.