List of top Questions asked in JEE Main

A particle is having uniform acceleration. If its displacement from t to \((t + 1)\) second is \(120 \) \(m\) and change in velocity is \(50 \;m/s\). Find its displacement (in m) in \((t + 2)^{th}\) second

Distance between virtual image, which is twice the size of object placed in front of mirror and object is 45 cm. The magnitude of focal length of the mirror is _____cm.

A block of mass \(2\) \(kg\) is placed on a disc which is rotating at constant angular velocity \(4\) \(rad/sec\). Find the friction force in (N) between block and disc if block is not sliding.

Which of the following has allylic halogen?

Find the current through Zener diode if its breakdown voltage is 5 V.

Area under the curve \(x^2 + y^2 = 169\) and below the line \(5x - y = 13\) is:

In an increasing arithmetic progression \(a_1, a_2,..., a_n\) if \(a_6 = 2\) and product of \(a_1\), \(a_5\) and \(a_4\) is greatest, then the value of d is equal to

Given data \(60, 60, 44, 58, 68, α, β, 56\) has mean \(58\), variance = \(66.2\), then find \(α^2 + β^2\).

A solid cylinder is placed gently over an incline plane of inclination \(60°\). The acceleration of cylinder when it start rolling without slipping is \(\frac{g}{\sqrt x}\) where \(μ\) is the coefficient of friction. [take \(g\) = \(10\;m / (s ^ 2)\) ]

If : \(|z + 1| = αz + ß(i + 1)\) and \(z = \frac 12 - 2i\), find \(α + ß\).

If \(\frac {dy}{dx} - \frac {(sin2x)}{(1+cos^2x)}y = \frac {sinx}{1+cos^2x }\)and \(y(0) =0\) then \(y(\frac \pi2)\) is ………..

In the given circuit, the breakdown voltage of the Zener diode is 3.0 V. What is the value of I_z ?

An electron is moving with the speed of \(1\) \(m/s\) at a distance of \(1\) \(m\), from a large sheet of charge with density \(σ\) \(C/m^2\). Find the maximum value of \(σ\) such that electron hits the sheet after \(1\) \(sec\). (mass of electron = \(9 × 10^{-31}\) kg, Permittivity of free space = \(9\times10^{12}\;C^2/Nm^2\)

Potential energy function corresponding to conservative force is given as  \(U(x, y, z) = \frac{3x^2}{2} + 5y + 6z\) then the force at \(x = 6\) is \(pN\). The value of \(p\) upto \(2\) its nearest integral value is

In a container, 1 g of hydrogen and 1 g of oxygen are taken. Find the ratio of hydrogen pressure to oxygen pressure.

A biconvex lens of refractive index 1.5 has a focal length of 20 cm in air. Its focal length when immersed in a liquid of refractive index 1.6 will be:

If electric current passing through a conductor varies with time as \(I = 10 + A \;ẞt\), where \(I_o = 20 A\), \(B = \frac{3A}{S}\), then find charge flow through the conductor in first \(10\) sec is

A gas undergoes a cyclic process ABCA as shown. Find the work done by the gas from A→B→C.

All the letters of the word "GTWENTY" are written in all possible ways with or without meaning, and these words are arranged as in a dictionary. The serial number of the word "GTWENTY" is:

Given below are two statements:
Statement I: The electronegativity of group 14 elements from Si to Pb gradually decreases.
Statement II: Group 14 contains non-metallic, metallic, as well as metalloid elements.
In the light of the above statements, choose the most appropriate from the options given below:

Find product P of the following reaction-

A stationary hydrogen atom deexcites from first excited state to ground state. Find recoil speed of hydrogen atom up to nearest integer value. 
(mass of hydrogen atom = \(1.8 \times 10^{-27}\) \(kg\))

A body starts moving from rest with constant acceleration and covers displacement \(S_1\) in the first \((p - 1)\) seconds and \(S_2\) in the first \(p\) seconds. The displacement \(S_1 + S_2\) will be made in time: