List of top Questions asked in JEE Main

Three blocks A, B and C are pulled on a horizontal smooth surface by a force of 80 N as shown in figure

The tensions T1 and T2 in the string are respectively:

A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of 60° by a force of 10 N parallel to the inclined surface as shown in the figure. When the block is pushed up by 10 m along the inclined surface, the work done against frictional force is:

Two charges \(Q\) and \(3Q\) are kept in a line separated by a distance \(R\). Electric field is zero at a distance x from \(Q\). Find the value of \(x\).

Stopping potential is \(8\) \(V\) if wavelength of incident light is \(λ\) and it is \(2\) \(V\) for \(3λ\). Find threshold wavelength.

Which of the following molecule/species is most stable?

Two particles are projected from a tower of height 400 m & angles 45° & 60° horizontally. If they have the same time of flight, find the ratio of their velocities.

Which of the following is the correct structure for the given IUPAC name?
3-Methylpent-2-enal

The final product A, formed in the following multistep reaction sequence is:

Find out sum of the coefficients of all the species involved in the balanced equation: \(2MnO_4+I^-\xrightarrow[{Medium}]{Alkaline}\)

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

In \(AC\) circuit with source voltage \(E \) = \(20\) \(sin\; 1000 \;t\) is connected to series \(L-R\) circuit whose power factor is \(\frac{1}{\sqrt 2}\) If \(E = 25\) \(sin \;2000\) \(t\), the new power factor is :

At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at 47ºC?

If the area of cross-section is halved and length of a wire having Young's modulus Y is doubled, then its new Young's modulus will be

The work function of a substance is 3.0 eV. The longest wavelength of light that can cause the emission of photoelectrons from this substance is approximately:

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:

If the value of the integral

\[ \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \left( \frac{x^2 \cos x}{1 + \pi^x} + \frac{1 + \sin^2 x}{1 + e^{\sin^x 2023}} \right) dx = \frac{\pi}{4} (\pi + a) - 2, \]

then the value of \(a\) is:

If \(f(x) =   \begin{cases}     2+2x  & ;x∈(-1,0)\\     1-\frac x3  & ;x∈[0,3)  \end{cases}\) and \(g(x) =   \begin{cases}     x  & ;x∈[0,1)\\     -x & ;x∈(-3,0)  \end{cases}\). Then range of \(fog(x)\) is