List of top Questions asked in JEE Main

What is the order of reducing character for \(AsH_3, NH_3, PH_3\) (group \(15\) hydrides)?

The value of integral \(∫_0^{\frac \pi4} \frac {xdx}{cos^42x+sin^42x}\).

\(3, 7, 1,......., 404\) and \(4, 7, 10,......, 403\). Find sum of common terms.

Which of the following compounds has the highest boiling point?

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

In the given circuit, find electric current drawn from battery :

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.

Number of ways of arranging 5 officers in 4 rooms.

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 \(\frac{\sqrt{α-1} +\sqrt{β-1}}{|α-β|}\)