List of top Questions asked in JEE Main

Mass of the moon is \(\frac{1}{100}\) times the mass of a planet. Its diameter is \(\frac{1}{16}\) the diameter of the planet if the escape velocity of the planet is \(V\) then the escape velocity of the moon will be

Four equal masses m are kept at corners of a square of side a. If net gravitational force on a mass is given by \(\bigg(\frac{2\sqrt2+1}{32}\bigg) \frac{GM^2}{L^2}\) Find the value of a in the terms of \(L\).

If \(f(x)=\frac {4x+3}{6x-4}\), \(x≠\frac 23 \)and \((fof)(x)=g(x)\), where \(g:R-[\frac 23→R→{\frac 23}]\). Then \((gogog)(4)\) is equal to

How many times 3 comes from 1 to 1000?

If the percentage error in measuring length and diameter of a wire is \(0.1\%\) each, then the percentage error of the resistance of the wire is :

If \(E = \frac{(A-x^2)}{Bt}\) where \(E\) is energy, \(x\) is displacement and \(t\) is time. Find dimensions of \(AB\)

Two solid spheres each of mass 2 kg and radius 75 cm are arranged as shown. Find MOI of the system about the given axis.

What will be the reactivity order of following compounds towards electrophilic substitution reaction ?

Distance between twice-magnified virtual image of an object placed in front of mirror is 15 cm. Find focal length of spherical mirror in cm.

Find the total number of sigma and pi bonds in 2-formyl hex-4-enoic acid.

\(T-V\) graph is given for two different pressures \(P_1\) and \(P_2\), Then :

Two resistances having coefficient of variation of resistivity \(α_1\) and \(α_2\) are having equal resistance. Equivalent temperature coefficient of resistivity in series and parallel combinations are:

An artillery of mass \(M_1\), fires a shell of mass \(M_2\). At the time of firing the ratio of kinetic energy 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.

The voltage applied across the resistance R is 200+5 and current in resistance is 20+0.2 then find % error in resistance.

Two rings of equal radius \(R\) arranged perpendicular to each other with common center at \(C\), carrying equal current \(I\). Find magnetic field at \(C\).

Find the potential difference across \(700\) \(Ω\) resistance (i.e. Vo)

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

A long wire carrying current \(\sqrt{(2)}A\) is placed in a uniform magnetic field of \(3 \times 10^{-5}\; T\). If the magnetic field is perpendicular to wire, find magnetic force on the length of wire.

Force F depends on distance \(x\) and time \(t\) as \(F = ax^ 2 + bt\;\frac{1}{2}\) . Final dimension of \(\frac{b^2}{a}\) is

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

If \(f(x)\) = \(\begin {bmatrix} Cos x& -sinx & 0\\sinx & cos x& 0\\0&0&1 \end {bmatrix} \)Statement I \(⇒ f(x).f(y) = f(x+y)\) Statement II \(⇒f(-x) =0 \) is invertible

Find out charge (in C) required for electrolysis of \(1\) mole of \(H_2O\) to produce \(O_2\) on one of the electrodes. \((F = 96500 \;C)\)

Let S = {1,2,3,..., 20}, R₁ = {(a, b): a divide b}, R₂ = {(a, b): a is integral multiple of b} and a, b ∈ S. n(R₁ - R₂) = ?