List of top Questions asked in JEE Main- 2024

Consider the following two statements 
Statement I: In \(p\) and \(d\) block both metals and non - metals are present 
Statement II: Electronegativity and ionisation enthalpy of metals is greater than non - metals

Consider the following two statements Statement I: \(SiO_2\) and GeO₂\(GeO_2\) are acidic, \(SnO\) and \(PbO\) are amphoteric Statement II: Allotropes of carbon are formed due to catenation and \(dπ - ρπ\) bond

Consider the following two statements Statement I: \(π\) \(2p\) bonding molecular orbital has low electron density above & below internuclear axis Statement II: \(π\times2p\) antibonding molecular orbital has only one nodal plane

If the hyperbola \(x² - y² cosec²θ = 5\) and ellipse \(x²cosec²θ + y² = 5\) has eccentricity \(e_H\) and \(e_E\) respectively and \(e_H = \sqrt 7e_E\), then \(θ\) is equal to

\(3, a, b, c\) are in Ap and \(3, a-1, b+1, c+9\) are in GP. Then AM of \(a, b, c\) is

A particle is moving in circular path of radius r speed v such that speed is proportional to radius as \(V∝ r^{\frac{3}{2}}\). Then how does time period of revolution depends on r i.e Trn then \(n\) is.

If the rms velocity of hydrogen gas molecules is \(V_o\), find the rms velocity of oxygen molecules at same temperature :

Find the ratio of the charge on \(4\) \(µF\) to that on \(2\) \(µF\) in steady state.

A ball of mass \(120\) \(g\) moving with initial velocity \(25 \;m/s\) is stopped by an external force \(F\) in \(0.15\) \(sec\). Find value of \(F\) in newton :

Find the number of significant digits in the value 10.05

There are two cubical Gaussian surface carrying charges as shown. Find ratio of fluxes through surface \(C_1\) and \(C_2\):

If the power of a light source is P and frequency of photons emitted is f. Find number photons emitted in time t.

The dimensions of angular impulse is equal to :

solid sphere is rolling purely with speed v on horizontal surface. It rolls up an incline surface and stops at height h. Then height h is [g is the acceleration due to gravity]:

Which is homoleptic complex?

In Kjeldahl's method for estimation of nitrogen, \(CuSO_4\) acts as

Statement I: \([Ni(H_2O)_6]^{2+}\) is green in colour.
Statement II: \([Ni(ON)_4]^{2-}\) is colourless.

In case of isoelectronic species the size of \(F^-\), \(Na\) and \(Na^+\) is affected by:

If the circles \( (x+1)^2 + (y+2)^2 = r^2 \) and \( x^2 + y^2 - 4x - 4y + 4 = 0 \) intersect at exactly two distinct points, then

Two integers \( x \) and \( y \) are chosen with replacement from the set \( \{0, 1, 2, 3, \ldots, 10\} \). Then the probability that \( |x - y| > 5 \) is:

Let \( \vec{a} = a_1 \hat{i} + a_2 \hat{j} + a_3 \hat{k} \) and \( \vec{b} = b_1 \hat{i} + b_2 \hat{j} + b_3 \hat{k} \) be two vectors such that \( |\vec{a}| = 1 \), \( \vec{a} \times \vec{b} = 2 \), and \( |\vec{b}| = 4 \). If \( \vec{c} = 2(\vec{a} \times \vec{b}) - 3\vec{b} \), then the angle between \( \vec{b} \) and \( \vec{c} \) is equal to:

A line passing through the point \( A(9, 0) \) makes an angle of \( 30^\circ \) with the positive direction of the x-axis. If this line is rotated about \( A \) through an angle of \( 15^\circ \) in the clockwise direction, then its equation in the new position is:

Given \(x^2 - 70x + \lambda = 0\) with positive integral roots a and B where one of the root is less than 10, and \( \frac{\lambda}2 \times i \frac{\lambda}3\) are not integers, then find value of \(\frac{\sqrt{α-1} +\sqrt{β-1}}{|α-β|}\)

If y = f(x) is solution of differential equation \((x^2 - 1) dy = ((x^3 + 1) + \sqrt{(1 - x^2)}dx \) and \(y(0) = 2\) then find \(y(\frac{1}2)\)

If the length of the minor axis of an ellipse is equal to half of the distance between the foci, then the eccentricity of the ellipse is: