List of top Questions asked in JEE Main

Alternating voltage and current in circuit is given as \(V = (100 \;sin \;ωt)\) volt 
\(I = 100\;sin\bigg(ωt+\frac{π}{3}\bigg)mA\)
Find average power dissipated in circuit.

Two charged particles A and B have charge q each while masses are \(m_1\) & \(m_2\). Both have the same velocity v and enter into a transverse magnetic field B such that their radii are \(r_1\) & \(r_2\). Then the ratio \(m_1 : m_2\) is

In a simple pendulum of length 10 m, the string is initially kept horizontal and the bob is released. 10% of energy is lost till the bob reaches the lowest position. Then find the speed of the bob at the lowest position.

Two forces \(F_1\) and \(F_2\) are applied on two rods \(P\) and \(Q\) of same materials such that elongation in rods are same. If ratio of their radii is \(x : y\) and ratio of length is \(m : n\), then ratio of \(F_1 : F_2\) is

A uniform wire has length L and radius r. It is acted on by a force F as shown. The elongation is l. If F and r are both halved, the new elongation will be :

The truth table for the combination of logical gates

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

A \(10\) \(mL\) hydrocarbon \((C_2H_4)\) on combustion give \(40\) \(mL\) \(CO_2\) and \(50\) \(mL\) \(H_20\). Calculate the value of \(x+y\)

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.

Number of ways of arranging 5 officers in 4 rooms.

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

Which is homoleptic complex?

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

Two trains run on North-South parallel tracks. Train A moves with velocity 20 m/s towards North and train B moves with velocity 30 m/s towards South. Then find the velocity of train B with respect to train A

Two particles each of mass \(2\) kg are places as shown in \(x→ y\) plane. If the distance of centre of mass from origin is \(\frac{4\sqrt 2}{x}\) find \(x\) :

The length of a seconds pendulum if it is placed at height \(2R\) from the surface of the earth (R: radius of earth) is \(\frac{10}{xπ^2}\) \(m\). Find \(x\)

Magnetic behavior of \(Ni^{2+}\) with strong ligand

Moles of \(CH_4\) required for formation of \(22\) \(g\) of \(CO_2\) is \(m \times 10^{-2}\) The value of \(m\) is:

The total number of different alkanes formed when the following mixture is subjected to electrolysis: \(CH_3COONa (aq)\) and \(C_2H_2COONa (aq)\)is (do not consider disproportionation reaction)

If one faraday of electricity is used in the discharging of \(Cu^{2+}\), then find the mass (ing) of \(Cu\) deposited (nearest integer)

The spin only magnetic moment of complex ion \([Ni(NH_3)_6]^{2+}\)+ is \(X \times 10^{-1}\) \(BM\). The value of \(X\) is

If the mass defect in a nuclear reaction is \(0.4\) \(gm\) then find the \(Q\) value of the reaction.

Rms velocity of hydrogen at which temperature is equal to that of the oxygen molecule at \(47 \degree\)